Abstract

We established the angular conditions that maintain the quasi-phase matching conditions for enhanced second-harmonic generation. To do that, we investigated the equifrequency surfaces of the resonant Bloch modes of a two-dimensional periodic, hole-array photonic crystal etched into a GaN/sapphire epitaxial structure. The equifrequency surfaces exhibit remarkable shapes, in contrast to the simpler surfaces of a one-dimensional structure. The observed anisotropy agrees well with the surfaces calculated by a scattering matrix method. The equifrequency surfaces at fundamental and second-harmonic frequencies provide the values of polar and azimuthal angles that maintain quasi-phase matching conditions for enhanced second-harmonic generation over an extended tuning range. The predicted values for quasi phase-matching conditions show that frequency tuning for the two-dimensional case covers an about two times larger fractional bandwidth relative to the one-dimensional case.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J.D Jouannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals, Molding the Flow of Light (Princeton, NJ: Princeton University Press, (1995).
  2. C.M. Soukoulis, Photonic crystals and light localization in the 21st Century (Kluwer Academic: Dordrecht, The Netherlands, (2001).
  3. J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).
  4. For recent review see Focus Issue “Nonlinear Optics and Photonic Crystals,” (NOPC), Edited by C.M. Bowden and A.M. Zheltikov, J. Opt Soc. Am. B19, 2046–2296 (2002).
    [CrossRef]
  5. J. Miragliotta, D.K. Wickenden, T.J. Kistenmacher, and W.A. Bryden, “Linear- and nonlinear-optical properties of GaN thin films,” J. Opt. Soc. Am. B 10, 1447–1456 (1993).
    [CrossRef]
  6. J. Miragliotta and D.K. Wickenden, “Nonlinear electroreflectance from gallium nitride using optical second-harmonic generation,” Phys. Rev. B 53, 1388–1397 (1996).
    [CrossRef]
  7. H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
    [CrossRef]
  8. D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
    [CrossRef]
  9. I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
    [CrossRef]
  10. A. Chowdhury, H.M. Ng, M. Bhardwaj, and N.G. Weimann, “Second-harmonic generation in periodically poled GaN,” Appl. Phys. Lett. 83, 1077–1079 (2003).
    [CrossRef]
  11. I. Shoji, T. Kondo, and R. Ito, “Second-order nonlinear susceptibilities of various dielectric and semiconductor material,” Opt. Quantum Electron. 34, 797–833 (2002).
    [CrossRef]
  12. S. Nakamura and G. Fasol, The Blue Green Diode (Springer, Berlin, 1997).
  13. A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
    [CrossRef]
  14. M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
    [CrossRef]
  15. M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
    [CrossRef]
  16. A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
    [CrossRef]
  17. G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
    [CrossRef]
  18. Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
    [CrossRef]
  19. V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
    [CrossRef]
  20. V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
    [CrossRef]
  21. R. Reinisch and M. Nevière, “Electromagnetic theory of diffraction in nonlinear optics and surface-enhanced nonlinear optical effects,” Phys. Rev. B 28, 1870–1885 (1983).
    [CrossRef]
  22. A.R. Cowan and J.F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. B 65, 85106-1 to 85106-6 (2002).
    [CrossRef]
  23. A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
    [CrossRef]
  24. A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
    [CrossRef]
  25. J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
    [CrossRef]
  26. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
    [CrossRef]
  27. H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
    [CrossRef]
  28. B. Gralak, S. Enoch, and G. Tayeb, “Anomalous refractive properties of photonic crystals,” J. Opt. Soc. Am. A 17, 1012–1020 (2000).
    [CrossRef]
  29. M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
    [CrossRef]
  30. M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
    [CrossRef]
  31. J.M. Pottage, E. Silvestre, and P. St. Russell, “Vertical-cavity surface-emitting resonances in photonic crystal films,” J. Opt. Soc. Am. A 18, 442–447 (2001).
    [CrossRef]
  32. M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
    [CrossRef] [PubMed]
  33. Baba and T. Matsumoto, “Resolution of photonic crystal superprism,” Appl. Phys. Lett. 81, 2325–2327 (2002).
    [CrossRef]
  34. D. M. Whittaker and I. S. Culshaw, “Scattering-matrix treatment of patterned multiplayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).
    [CrossRef]
  35. D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
    [CrossRef]
  36. M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
    [CrossRef]
  37. J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
    [CrossRef] [PubMed]

2004 (1)

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

2003 (3)

J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
[CrossRef] [PubMed]

A. Chowdhury, H.M. Ng, M. Bhardwaj, and N.G. Weimann, “Second-harmonic generation in periodically poled GaN,” Appl. Phys. Lett. 83, 1077–1079 (2003).
[CrossRef]

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

2002 (5)

A.R. Cowan and J.F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. B 65, 85106-1 to 85106-6 (2002).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

I. Shoji, T. Kondo, and R. Ito, “Second-order nonlinear susceptibilities of various dielectric and semiconductor material,” Opt. Quantum Electron. 34, 797–833 (2002).
[CrossRef]

Baba and T. Matsumoto, “Resolution of photonic crystal superprism,” Appl. Phys. Lett. 81, 2325–2327 (2002).
[CrossRef]

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

2001 (6)

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

J.M. Pottage, E. Silvestre, and P. St. Russell, “Vertical-cavity surface-emitting resonances in photonic crystal films,” J. Opt. Soc. Am. A 18, 442–447 (2001).
[CrossRef]

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

2000 (7)

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
[CrossRef]

H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
[CrossRef]

B. Gralak, S. Enoch, and G. Tayeb, “Anomalous refractive properties of photonic crystals,” J. Opt. Soc. Am. A 17, 1012–1020 (2000).
[CrossRef]

M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
[CrossRef]

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
[CrossRef]

1999 (3)

D. M. Whittaker and I. S. Culshaw, “Scattering-matrix treatment of patterned multiplayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).
[CrossRef]

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

1998 (1)

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

1997 (1)

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

1996 (2)

J. Miragliotta and D.K. Wickenden, “Nonlinear electroreflectance from gallium nitride using optical second-harmonic generation,” Phys. Rev. B 53, 1388–1397 (1996).
[CrossRef]

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

1993 (1)

1983 (1)

R. Reinisch and M. Nevière, “Electromagnetic theory of diffraction in nonlinear optics and surface-enhanced nonlinear optical effects,” Phys. Rev. B 28, 1870–1885 (1983).
[CrossRef]

Agio, M.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Albert, J.P.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

Andreani, L.C.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Astratov, V.N.

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

Baba,

Baba and T. Matsumoto, “Resolution of photonic crystal superprism,” Appl. Phys. Lett. 81, 2325–2327 (2002).
[CrossRef]

Balakin, A.V.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Baumberg, J.J.

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

Bellutti, P.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Belotti, M.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Benisty, H.

J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).

Berger, V.

J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).

Bertollotti, M.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Bettotti, P.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Bhardwaj, M.

A. Chowdhury, H.M. Ng, M. Bhardwaj, and N.G. Weimann, “Second-harmonic generation in periodically poled GaN,” Appl. Phys. Lett. 83, 1077–1079 (2003).
[CrossRef]

Bloemer, M.J.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Bowden, C.M.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Bryden, W.A.

Bushuev, V.A.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Businaro, L.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Cassagne, D.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

Cattaneo, F.

Centeno, E.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Centini, M.

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Charlton, M.B.D.

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

Chen, Y.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Chowdhury, A.

A. Chowdhury, H.M. Ng, M. Bhardwaj, and N.G. Weimann, “Second-harmonic generation in periodically poled GaN,” Appl. Phys. Lett. 83, 1077–1079 (2003).
[CrossRef]

Coquillat, D.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

Cowan, A.R.

J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
[CrossRef] [PubMed]

A.R. Cowan and J.F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. B 65, 85106-1 to 85106-6 (2002).
[CrossRef]

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

Culshaw, I. S.

D. M. Whittaker and I. S. Culshaw, “Scattering-matrix treatment of patterned multiplayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).
[CrossRef]

Culshaw, I.S.

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

D’Aguanno, G.

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Dal Negro, L.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

De La Rue, R.M.

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

De Vittorio, M.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Di Fabrizio, E.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Dowling, J.P.

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Dumeige, Y.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

Einfeldt, S.

A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
[CrossRef]

Eisenbach, A.

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

Enoch, S.

Falasconi, M.

Fasol, G.

S. Nakamura and G. Fasol, The Blue Green Diode (Springer, Berlin, 1997).

Feng, Z.C.

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

Gaburro, Z.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Galli, M.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Gérard, J.M.

J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).

Gralak, B.

Guizzetti, G.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Hahn, D.N.

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

Hanaizumi, O.

M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
[CrossRef]

Harris, A.

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

Hartnagel, H.L.

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

Haus, J.W.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

He, X.H.

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

Hildebrandt, R.

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

Hommel, D.

A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
[CrossRef]

Ito, R.

I. Shoji, T. Kondo, and R. Ito, “Second-order nonlinear susceptibilities of various dielectric and semiconductor material,” Opt. Quantum Electron. 34, 797–833 (2002).
[CrossRef]

Jiang, W.

J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
[CrossRef] [PubMed]

Johnson, S.R.

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

Jouannopoulos, J.D

J.D Jouannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals, Molding the Flow of Light (Princeton, NJ: Princeton University Press, (1995).

Kasic, A.

A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
[CrossRef]

Kawakami, S.

H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
[CrossRef]

M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

Kawashima, T.

H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

Ketterson, J.B.

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

Kiehne, G.T.

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

Kistenmacher, T.J.

Kondo, T.

I. Shoji, T. Kondo, and R. Ito, “Second-order nonlinear susceptibilities of various dielectric and semiconductor material,” Opt. Quantum Electron. 34, 797–833 (2002).
[CrossRef]

Kosaka, H.

H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

Krauss, T.F.

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

Kravetsky, I.V.

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

Kung, P.

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

Lascaray, J.P.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Le Vassor d’Yerville, M.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

Legros, R.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Levenson, A.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

Levenson, J.A.

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

Lourtioz, J.M.

J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).

Lui, A.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Malvezzi, A.M.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Mandeville, W.J.

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

Manka, A.S.

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Mantsyzov, B.I.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Marabelli, F.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Marowsky, G.

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

Masselin, P.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Matsumoto, T.

Baba and T. Matsumoto, “Resolution of photonic crystal superprism,” Appl. Phys. Lett. 81, 2325–2327 (2002).
[CrossRef]

Maystre, D.

J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).

Meade, R.D.

J.D Jouannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals, Molding the Flow of Light (Princeton, NJ: Princeton University Press, (1995).

Miragliotta, J.

J. Miragliotta and D.K. Wickenden, “Nonlinear electroreflectance from gallium nitride using optical second-harmonic generation,” Phys. Rev. B 53, 1388–1397 (1996).
[CrossRef]

J. Miragliotta, D.K. Wickenden, T.J. Kistenmacher, and W.A. Bryden, “Linear- and nonlinear-optical properties of GaN thin films,” J. Opt. Soc. Am. B 10, 1447–1456 (1993).
[CrossRef]

Mondia, J.P.

J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
[CrossRef] [PubMed]

Mouret, G.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Nakamura, S.

S. Nakamura and G. Fasol, The Blue Green Diode (Springer, Berlin, 1997).

Nefedov, I.

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Netti, M.C.

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

Nevière, M.

R. Reinisch and M. Nevière, “Electromagnetic theory of diffraction in nonlinear optics and surface-enhanced nonlinear optical effects,” Phys. Rev. B 28, 1870–1885 (1983).
[CrossRef]

Ng, H.M.

A. Chowdhury, H.M. Ng, M. Bhardwaj, and N.G. Weimann, “Second-harmonic generation in periodically poled GaN,” Appl. Phys. Lett. 83, 1077–1079 (2003).
[CrossRef]

Notomi, M.

M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
[CrossRef]

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

Ohtera, Y.

M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
[CrossRef]

Ozheredov, I.A.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Pacradouni, V.

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

Paddon, P.

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

Parker, G.J.

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

Passaseo, A.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Patrini, M.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Pavesi, L.

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

Pavlidis, D.

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

Petrov, E.V.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Peyrade, D.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Pottage, J.M.

Razeghi, M.

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

Reinisch, R.

R. Reinisch and M. Nevière, “Electromagnetic theory of diffraction in nonlinear optics and surface-enhanced nonlinear optical effects,” Phys. Rev. B 28, 1870–1885 (1983).
[CrossRef]

Ribayrol, A.

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

Romanato, F.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Russell, P. St.

Sagnes, I

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

Sato, T.

H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

Sauvage, S.

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

Saxler, A.

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

Scalbert, D.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Scalora, M.

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Schubert, M.

A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
[CrossRef]

Schurman, M.

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

Shih, Y.H.

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

Shkurinov, A.P.

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

Shoji, I.

I. Shoji, T. Kondo, and R. Ito, “Second-order nonlinear susceptibilities of various dielectric and semiconductor material,” Opt. Quantum Electron. 34, 797–833 (2002).
[CrossRef]

Sibilia, C.

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

Silvestre, E.

Skolnick, M.S.

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

Soukoulis, C.M.

C.M. Soukoulis, Photonic crystals and light localization in the 21st Century (Kluwer Academic: Dordrecht, The Netherlands, (2001).

Stall, R.A.

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

Stevenson, R.M.

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

Tamamura, T.

M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

Tayeb, G.

Tchelnokov, A.

J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).

Teppe, F.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Tiginyanu, I.M.

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

Tiwald, T.E.

A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
[CrossRef]

Tomita, A.

H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

Torres, J.

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

Van Driel, H.M.

J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
[CrossRef] [PubMed]

Vecchi, G.

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

A.M. Malvezzi, F. Cattaneo, G. Vecchi, M. Falasconi, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide,” J. Opt. Soc. Am. B 19, 2122–2128 (2002).
[CrossRef]

Vidakovic, P.

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

Viswanathan, R.

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Weimann, N.G.

A. Chowdhury, H.M. Ng, M. Bhardwaj, and N.G. Weimann, “Second-harmonic generation in periodically poled GaN,” Appl. Phys. Lett. 83, 1077–1079 (2003).
[CrossRef]

Whittaker, D. M.

D. M. Whittaker and I. S. Culshaw, “Scattering-matrix treatment of patterned multiplayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).
[CrossRef]

Whittaker, D.M.

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

Wickenden, D.K.

J. Miragliotta and D.K. Wickenden, “Nonlinear electroreflectance from gallium nitride using optical second-harmonic generation,” Phys. Rev. B 53, 1388–1397 (1996).
[CrossRef]

J. Miragliotta, D.K. Wickenden, T.J. Kistenmacher, and W.A. Bryden, “Linear- and nonlinear-optical properties of GaN thin films,” J. Opt. Soc. Am. B 10, 1447–1456 (1993).
[CrossRef]

Winn, J.N.

J.D Jouannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals, Molding the Flow of Light (Princeton, NJ: Princeton University Press, (1995).

Wong, G.K.L.

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

Young, J.F.

J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
[CrossRef] [PubMed]

A.R. Cowan and J.F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. B 65, 85106-1 to 85106-6 (2002).
[CrossRef]

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

Zhang, H.Y.

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

Zoorob, M.E.

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

Appl. Phys. B (1)

D. Coquillat, A. Ribayrol, R.M. De La Rue, M. Le Vassor d’Yerville, D. Cassagne, and J.P. Albert, “Observations of band structure and reduced group velocity in epitaxial GaN-sapphire 2D photonic crystals,” Appl. Phys. B 73, 591–593 (2001).
[CrossRef]

Appl. Phys. Lett. (5)

Baba and T. Matsumoto, “Resolution of photonic crystal superprism,” Appl. Phys. Lett. 81, 2325–2327 (2002).
[CrossRef]

A. Chowdhury, H.M. Ng, M. Bhardwaj, and N.G. Weimann, “Second-harmonic generation in periodically poled GaN,” Appl. Phys. Lett. 83, 1077–1079 (2003).
[CrossRef]

H.Y. Zhang, X.H. He, Y.H. Shih, M. Schurman, Z.C. Feng, and R.A. Stall, “Study of nonlinear optical effects in GaN:Mg epitaxial film,” Appl. Phys. Lett. 69, 2953–2955 (1996).
[CrossRef]

Y. Dumeige, P. Vidakovic, S. Sauvage, I Sagnes, J.A. Levenson, C. Sibilia, M. Centini, G. D’Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001).
[CrossRef]

V.N. Astratov, R.M. Stevenson, I.S. Culshaw, D.M. Whittaker, M.S. Skolnick, T.F. Krauss, and R.M. De La Rue, “Heavy photon dispersions in photonic waveguides,” Appl. Phys. Lett.,  77, 178–180 (2000).
[CrossRef]

J. Appl. Phys. (1)

D.N. Hahn, G.T. Kiehne, J.B. Ketterson, G.K.L. Wong, P. Kung, A. Saxler, and M. Razeghi, “Phase-matched optical second-harmonic generation in GaN and AlN slab waveguides,” J. Appl. Phys. 85, 2497–2501 (1999).
[CrossRef]

J. Opt. Soc. Am. A (2)

J. Opt. Soc. Am. B (2)

Opt Lett (1)

J.P. Mondia, H.M. Van Driel, W. Jiang, A.R. Cowan, and J.F. Young, “Enhanced second-harmonic generation from planar photonic crystals,” Opt Lett 28, 2500–2502 (2003).
[CrossRef] [PubMed]

Opt. Quantum Electron. (1)

I. Shoji, T. Kondo, and R. Ito, “Second-order nonlinear susceptibilities of various dielectric and semiconductor material,” Opt. Quantum Electron. 34, 797–833 (2002).
[CrossRef]

Phys. Rev B (2)

M. Galli, M. Agio, L.C. Andreani, M. Belotti, G. Guizzetti, F. Marabelli, M. Patrini, P. Bettotti, L. Dal Negro, Z. Gaburro, L. Pavesi, A. Lui, and P. Bellutti, “Spectroscopy of photonic bands in macroporous silicon photonic crystals,” Phys. Rev B 65, 113111-1 to 113111-4 (2002).
[CrossRef]

A. Kasic, M. Schubert, S. Einfeldt, D. Hommel, and T.E. Tiwald, “Free-carrier and phonon properties of n- and p-type hexagonal GaN films measured by infrared ellipsometry,” Phys. Rev B 62, 7365–7377 (2000).
[CrossRef]

Phys. Rev. A (1)

M. Scalora, M.J. Bloemer, A.S. Manka, J.P. Dowling, C.M. Bowden, R. Viswanathan, and J.W. Haus, “Pulsed second-harmonic generation in nonlinear, one-dimensional, periodic structures,” Phys. Rev. A 56, 3166–3174 (1997).
[CrossRef]

Phys. Rev. B (11)

V. Pacradouni, W.J. Mandeville, A.R. Cowan, P. Paddon, J.F. Young, and S.R. Johnson, “Photonic band structure of dielectric membranes periodically textured in two dimensions,” Phys. Rev. B 62, 4204–4207 (2000).
[CrossRef]

R. Reinisch and M. Nevière, “Electromagnetic theory of diffraction in nonlinear optics and surface-enhanced nonlinear optical effects,” Phys. Rev. B 28, 1870–1885 (1983).
[CrossRef]

A.R. Cowan and J.F. Young, “Mode matching for second-harmonic generation in photonic crystal waveguides,” Phys. Rev. B 65, 85106-1 to 85106-6 (2002).
[CrossRef]

J. Miragliotta and D.K. Wickenden, “Nonlinear electroreflectance from gallium nitride using optical second-harmonic generation,” Phys. Rev. B 53, 1388–1397 (1996).
[CrossRef]

D. M. Whittaker and I. S. Culshaw, “Scattering-matrix treatment of patterned multiplayer photonic structures,” Phys. Rev. B 60, 2610–2618 (1999).
[CrossRef]

M. Notomi, T. Tamamura, Y. Ohtera, O. Hanaizumi, and S. Kawakami, “Direct visualisation of photonic band structure for three-dimensional photonic crystals,” Phys. Rev. B 61, 7165–7168 (2000).
[CrossRef]

M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap,” Phys. Rev. B 62, 10696–10705 (2000).
[CrossRef]

A.M. Malvezzi, G. Vecchi, M. Patrini, G. Guizzetti, L.C. Andreani, F. Romanato, L. Businaro, E. Di Fabrizio, A. Passaseo, and M. De Vittorio, “Resonant second-harmonic generation in a GaAs photonic crystal waveguide,” Phys. Rev. B 68, 161306(R)-1 to 161306-4 (2003).
[CrossRef]

J. Torres, D. Coquillat, R. Legros, J.P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, M. Le Vassor d’Yerville, E. Centeno, D. Cassagne, and J.P. Albert, “Giant second-harmonic generation in a one-dimensional GaN photonic crystal,” Phys. Rev. B 69, 85105-1 to 85105-8 (2004).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals,” Phys. Rev. B 58, R10096–R10099 (1998).
[CrossRef]

H. Kosaka, A. Tomita, T. Kawashima, T. Sato, and S. Kawakami, “Splitting of triply degenerate refractive indices by photonic crystals,” Phys. Rev. B 62, 1477–1480 (2000).
[CrossRef]

Phys. Rev. E (3)

M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Bertollotti, M.J. Bloemer, C.M. Bowden, and I. Nefedov, “Dispersive properties of finite, one-dimensional photonic band gap structures: Applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
[CrossRef]

A.V. Balakin, V.A. Bushuev, B.I. Mantsyzov, I.A. Ozheredov, E.V. Petrov, A.P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near photonic band gap edge under the quasiphase matching conditions,” Phys. Rev. E 63, 46609-1 to 46609-11 (2001).
[CrossRef]

G. D’Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, A. Levenson, M.J. Bloemer, C.M. Bowden, J.W. Haus, and M. Bertollotti, “Photonic band edge effects in finite structures and applications to χ(2) interactions,” Phys. Rev. E 64, 16609-1 to 16609-9 (2001)
[CrossRef]

Phys. Rev. lett. (1)

M.C. Netti, A. Harris, J.J. Baumberg, D.M. Whittaker, M.B.D. Charlton, M.E. Zoorob, and G.J. Parker, “Optical trirefringence in photonic crystal waveguides,” Phys. Rev. lett. 86,1526–1529 (2001).
[CrossRef] [PubMed]

Other (6)

S. Nakamura and G. Fasol, The Blue Green Diode (Springer, Berlin, 1997).

I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000). I.V. Kravetsky, I.M. Tiginyanu, R. Hildebrandt, G. Marowsky, D. Pavlidis, A. Eisenbach, and H.L. Hartnagel, “nonlinear optical response of GaN layers on sapphire: The impact of fundamental beam interference,” Appl. Phys. Lett.76, 810–812 (2000).
[CrossRef]

J.D Jouannopoulos, R.D. Meade, and J.N. Winn, Photonic Crystals, Molding the Flow of Light (Princeton, NJ: Princeton University Press, (1995).

C.M. Soukoulis, Photonic crystals and light localization in the 21st Century (Kluwer Academic: Dordrecht, The Netherlands, (2001).

J.M. Lourtioz, H. Benisty, V. Berger, J.M. Gérard, D. Maystre, and A. Tchelnokov, Les cristaux photoniques, ou la lumière en cage (Coll. Technique et scientifique des télécommunications, Lavoisier, 2003).

For recent review see Focus Issue “Nonlinear Optics and Photonic Crystals,” (NOPC), Edited by C.M. Bowden and A.M. Zheltikov, J. Opt Soc. Am. B19, 2046–2296 (2002).
[CrossRef]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (8)

Fig. 1.
Fig. 1.

Schematic diagram illustrating the sample, coordinate system, and experimental geometry used for angular resolved reflection and transmission experiments to investigate the resonant Bloch modes dispersion.

Fig. 2.
Fig. 2.

Experimental transmission spectra for the two-dimensional GaN PhC for various angles of incidence, with s and p polarized light along the Γ-K and Γ-M lattice directions. The angle of incidence is varied from 0° to 39° with a step of 2° then 3°. (a) Γ-K, s-polarized incident light; (b) Γ-K, p-polarized incident light; (c) Γ-M, s-polarized incident light; (d) Γ-M, p-polarized incident light. The marked features in the higher angles spectra correspond to resonant Bloch modes. Along the symmetry directions the modes are excited by either s- or p-polarized light. For propagation directions away from the symmetry directions, these two polarizations are mixed and modes radiate an elliptically polarized field. For convenience in their labeling, the modes are referred to as s or p by continuity according to their polarization at φ=0°.

Fig. 3.
Fig. 3.

Reflection spectra at θ=25°, φ varies from 0° (Γ-K) to 30° (Γ-M). (a) s-s refers to incident-wave s-polarization and reflected-wave analyzer also s-polarization. (b) p-p refers to incident-wave p-polarization and reflected-wave also p-polarization.

Fig. 4.
Fig. 4.

Reflection spectra at θ=25° and φ=16° ; s-p refers to the incident and detected polarizations.

Fig. 5.
Fig. 5.

Photonic band structure of the two-dimensional GaN PhC for s-polarized light as determined from the experimental transmission spectra (solid dots) and from theoretical calculation (solid lines and open dots) along the high symmetry directions. The resonant Bloch modes 1p, 2s and 6s are respectively in red, in green, and in violet. The two large circles indicate the points involved in the QPM condition satisfied for fundamental field at 0.48 and SH field at 0.96. The solid lines show the edges of the cone of incident light.

Fig. 6.
Fig. 6.

EFS for different normalized frequencies as determined from the experimental transmission spectra (dots) and from calculation (solid), for the three resonant Bloch modes, and for s-polarized incident light; (a) 1p in red, (b) 2s in green, and (c) 6s in violet.

Fig. 7.
Fig. 7.

Experimental EFS used to predict angular conditions for enhanced SHG (red curve for fundamental frequency, blue curve for SH frequency). Black circles denote the achievement of QPM conditions. (a) EFS at ω from 1p at 0.51 and EFS at 2ω extracted from 10s at 1.02 plotted at half its in-plane wave-vectors. (b) Same but for fundamental frequency at 0.50 and SH frequency at 1.00. (c) Same but for fundamental frequency at 0.49 and SH frequency at 0.98. (d) The particular configuration where the coincidence point is along the Γ-M direction; fundamental frequency at 0.48 and SH frequency at 0.96.

Fig. 8.
Fig. 8.

Calculated EFS of the one-dimensional GaN PhC (a=500 nm) involved in enhanced SHG (red full squares for fundamental frequency, blue open circles for SH frequency). Black circles denote the achievement of QPM conditions. (a) EFS at ω from the mode 2p of the one-dimensional GaN PhC at frequency 0.629 (in units of ωa/2πc); the mode 2p is elliptically polarized for propagation along general directions. EFS at 2ω extracted from the mode4s at 1.258 (in units of ωa/2πc) plotted at half its in-plane wave-vectors. (b) Same but for fundamental frequency at 0.637 and SH frequency at 1.274. (c) Same but for fundamental frequency at 0.645 and SH frequency at 1.290.

Tables (1)

Tables Icon

Table 1. Second-order non linear coefficients dij for several dielectric materials.

Metrics