Abstract

The effect of surface truncation on the electromagnetic density of modes (DOM) in photonic crystals (PCs) is investigated theoretically. It shows that for PCs with surface truncation parameter τ0 or τ0.5, the DOM has asymmetric properties on the two edges of the first bandgap in normal incidence. Moreover, DOM at band edges has much larger values in the PC with appropriate truncation than that in the PC without truncation. Also, the effect of surface truncation on a band-edge laser is discussed, and the case of the oblique incident is also discussed.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
    [Crossref] [PubMed]
  2. E. Yablonovitch and T. J. Gmitter, "Photonic band structure: the face-centered-cubic case," Phys. Rev. Lett. 63, 1950-1953 (1989).
    [Crossref] [PubMed]
  3. S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
    [Crossref] [PubMed]
  4. S. John and R. Rangarajan, "Optimal structures for classical wave localization: an alternative to the ioffe-regel criterion," Phys. Rev. B 38, 10101-10104 (1988).
    [Crossref]
  5. J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band edge laser: a new approach to gain enhancement," J. Appl. Phys. 75, 1896-1899 (1994).
    [Crossref]
  6. Z. Wang and D. Liu, "Effect of refractive index of environment medium on electromagnetic mode density in photonic band gaps," Appl. Phys. B: Photophys. Laser Chem. 82, 549-553 (2006).
    [Crossref]
  7. C. M. deSterke and J. E. Sipe, "Switching dynamics of finite periodic nonlinear media: a numerical study," Phys. Rev. A 42, 2858-2869 (1990).
    [Crossref]
  8. F. Villa, L. E. Regalado, F. Ramos-Mendieta, J. Gaspar-Armenta, and T. Lopez-Ríos, "Photonic crystal sensor based on surface waves for thin-film characterization," Opt. Lett. 27, 646-648 (2002).
    [Crossref]
  9. N. D. Sankey, D. F. Prelewitz, and T. G. Brown, "All-optical switching in a nonlinear periodic-waveguide structure," Appl. Phys. Lett. 60, 1427-1429 (1992).
    [Crossref]
  10. J. M. Bendickson and J. P. Dowling, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
    [Crossref]
  11. A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
    [Crossref]
  12. M. Wubs and A. Lagendijk, "Local optical density of states in finite crystals of plane scatterers," Phys. Rev. E 65, 046612 (2002).
    [Crossref]
  13. G. Boedecker and C. Henkel, "All-frequency effective medium theory of a photonic crystal," Opt. Express 11, 1590 (2003).
    [Crossref] [PubMed]
  14. A. Moroz, "Minima and maxima of the local density of states for one-dimensional periodic systems," Europhys. Lett. 46, 419 (1999).
    [Crossref]
  15. G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
    [Crossref]
  16. V. Romero-Rochý'n, R. P. Duarte-Zamorano, S. Nilsen-Hofseth, and R. G. Barrera, " `Superluminal' transmission of light pulses through optically opaque barriers," Phys. Rev. E 63, 027601 (2001).
    [Crossref]
  17. M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, and L. Dobrzynski, "Resonant and localized electromagnetic modes in finite superlattices," Phys. Rev. B 61, 2059-2064 (1999).
    [Crossref]
  18. G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
    [Crossref]
  19. S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
    [Crossref]
  20. M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
    [Crossref] [PubMed]
  21. A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
    [Crossref]
  22. R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 (1991).
    [Crossref]
  23. J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band gaps material," J. Mod. Opt. 41, 257-262 (1994).
    [Crossref]
  24. F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112 (1999).
    [Crossref]
  25. M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
    [Crossref] [PubMed]
  26. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Chap. 1.

2006 (1)

Z. Wang and D. Liu, "Effect of refractive index of environment medium on electromagnetic mode density in photonic band gaps," Appl. Phys. B: Photophys. Laser Chem. 82, 549-553 (2006).
[Crossref]

2005 (1)

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

2004 (2)

G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

2003 (2)

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

G. Boedecker and C. Henkel, "All-frequency effective medium theory of a photonic crystal," Opt. Express 11, 1590 (2003).
[Crossref] [PubMed]

2002 (2)

2001 (2)

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

V. Romero-Rochý'n, R. P. Duarte-Zamorano, S. Nilsen-Hofseth, and R. G. Barrera, " `Superluminal' transmission of light pulses through optically opaque barriers," Phys. Rev. E 63, 027601 (2001).
[Crossref]

1999 (3)

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, and L. Dobrzynski, "Resonant and localized electromagnetic modes in finite superlattices," Phys. Rev. B 61, 2059-2064 (1999).
[Crossref]

A. Moroz, "Minima and maxima of the local density of states for one-dimensional periodic systems," Europhys. Lett. 46, 419 (1999).
[Crossref]

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112 (1999).
[Crossref]

1996 (2)

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
[Crossref] [PubMed]

J. M. Bendickson and J. P. Dowling, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[Crossref]

1995 (1)

M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
[Crossref] [PubMed]

1994 (2)

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band gaps material," J. Mod. Opt. 41, 257-262 (1994).
[Crossref]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band edge laser: a new approach to gain enhancement," J. Appl. Phys. 75, 1896-1899 (1994).
[Crossref]

1992 (1)

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, "All-optical switching in a nonlinear periodic-waveguide structure," Appl. Phys. Lett. 60, 1427-1429 (1992).
[Crossref]

1991 (1)

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 (1991).
[Crossref]

1990 (1)

C. M. deSterke and J. E. Sipe, "Switching dynamics of finite periodic nonlinear media: a numerical study," Phys. Rev. A 42, 2858-2869 (1990).
[Crossref]

1989 (1)

E. Yablonovitch and T. J. Gmitter, "Photonic band structure: the face-centered-cubic case," Phys. Rev. Lett. 63, 1950-1953 (1989).
[Crossref] [PubMed]

1988 (1)

S. John and R. Rangarajan, "Optimal structures for classical wave localization: an alternative to the ioffe-regel criterion," Phys. Rev. B 38, 10101-10104 (1988).
[Crossref]

1987 (2)

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[Crossref] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[Crossref] [PubMed]

1984 (1)

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Chap. 1.

Akjouj, A.

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, and L. Dobrzynski, "Resonant and localized electromagnetic modes in finite superlattices," Phys. Rev. B 61, 2059-2064 (1999).
[Crossref]

Barrera, R. G.

V. Romero-Rochý'n, R. P. Duarte-Zamorano, S. Nilsen-Hofseth, and R. G. Barrera, " `Superluminal' transmission of light pulses through optically opaque barriers," Phys. Rev. E 63, 027601 (2001).
[Crossref]

Bendickson, J. M.

J. M. Bendickson and J. P. Dowling, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[Crossref]

Bertolotti, M.

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

Bloemer, M.

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

Bloemer, M. J.

G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
[Crossref] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band edge laser: a new approach to gain enhancement," J. Appl. Phys. 75, 1896-1899 (1994).
[Crossref]

Boedecker, G.

Bowden, C. M.

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
[Crossref] [PubMed]

M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
[Crossref] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band edge laser: a new approach to gain enhancement," J. Appl. Phys. 75, 1896-1899 (1994).
[Crossref]

Brommer, K. D.

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 (1991).
[Crossref]

Brown, T. G.

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, "All-optical switching in a nonlinear periodic-waveguide structure," Appl. Phys. Lett. 60, 1427-1429 (1992).
[Crossref]

Centini, M.

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

D'Aguanno, G.

G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

deSterke, C. M.

C. M. deSterke and J. E. Sipe, "Switching dynamics of finite periodic nonlinear media: a numerical study," Phys. Rev. A 42, 2858-2869 (1990).
[Crossref]

Djafari-Rouhani, B.

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, and L. Dobrzynski, "Resonant and localized electromagnetic modes in finite superlattices," Phys. Rev. B 61, 2059-2064 (1999).
[Crossref]

Dobrzynski, L.

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, and L. Dobrzynski, "Resonant and localized electromagnetic modes in finite superlattices," Phys. Rev. B 61, 2059-2064 (1999).
[Crossref]

Dowling, J. P.

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
[Crossref] [PubMed]

J. M. Bendickson and J. P. Dowling, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[Crossref]

M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
[Crossref] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band edge laser: a new approach to gain enhancement," J. Appl. Phys. 75, 1896-1899 (1994).
[Crossref]

Duarte-Zamorano, R. P.

V. Romero-Rochý'n, R. P. Duarte-Zamorano, S. Nilsen-Hofseth, and R. G. Barrera, " `Superluminal' transmission of light pulses through optically opaque barriers," Phys. Rev. E 63, 027601 (2001).
[Crossref]

Dumeige, Y.

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

Gaspar-Armenta, J.

Gmitter, T. J.

E. Yablonovitch and T. J. Gmitter, "Photonic band structure: the face-centered-cubic case," Phys. Rev. Lett. 63, 1950-1953 (1989).
[Crossref] [PubMed]

Halevi, P.

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112 (1999).
[Crossref]

Haus, J. W.

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
[Crossref] [PubMed]

Henkel, C.

Joannopoulos, J. D.

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band gaps material," J. Mod. Opt. 41, 257-262 (1994).
[Crossref]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 (1991).
[Crossref]

John, S.

S. John and R. Rangarajan, "Optimal structures for classical wave localization: an alternative to the ioffe-regel criterion," Phys. Rev. B 38, 10101-10104 (1988).
[Crossref]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[Crossref] [PubMed]

Lagendijk, A.

M. Wubs and A. Lagendijk, "Local optical density of states in finite crystals of plane scatterers," Phys. Rev. E 65, 046612 (2002).
[Crossref]

Lahlaouti, M. L. H.

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, and L. Dobrzynski, "Resonant and localized electromagnetic modes in finite superlattices," Phys. Rev. B 61, 2059-2064 (1999).
[Crossref]

Levenson, J. A.

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

Liu, D.

Z. Wang and D. Liu, "Effect of refractive index of environment medium on electromagnetic mode density in photonic band gaps," Appl. Phys. B: Photophys. Laser Chem. 82, 549-553 (2006).
[Crossref]

Lopez-Ríos, T.

Manka, A. S.

M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
[Crossref] [PubMed]

Mattiucci, N.

G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

Meade, R. D.

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band gaps material," J. Mod. Opt. 41, 257-262 (1994).
[Crossref]

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 (1991).
[Crossref]

Messina, A.

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

Moroz, A.

A. Moroz, "Minima and maxima of the local density of states for one-dimensional periodic systems," Europhys. Lett. 46, 419 (1999).
[Crossref]

Napoli, A.

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

Nilsen-Hofseth, S.

V. Romero-Rochý'n, R. P. Duarte-Zamorano, S. Nilsen-Hofseth, and R. G. Barrera, " `Superluminal' transmission of light pulses through optically opaque barriers," Phys. Rev. E 63, 027601 (2001).
[Crossref]

Prelewitz, D. F.

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, "All-optical switching in a nonlinear periodic-waveguide structure," Appl. Phys. Lett. 60, 1427-1429 (1992).
[Crossref]

Ramos-Mendieta, F.

F. Villa, L. E. Regalado, F. Ramos-Mendieta, J. Gaspar-Armenta, and T. Lopez-Ríos, "Photonic crystal sensor based on surface waves for thin-film characterization," Opt. Lett. 27, 646-648 (2002).
[Crossref]

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112 (1999).
[Crossref]

Rangarajan, R.

S. John and R. Rangarajan, "Optimal structures for classical wave localization: an alternative to the ioffe-regel criterion," Phys. Rev. B 38, 10101-10104 (1988).
[Crossref]

Rappe, A. M.

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 (1991).
[Crossref]

Regalado, L. E.

Romero-Rochý'n, V.

V. Romero-Rochý'n, R. P. Duarte-Zamorano, S. Nilsen-Hofseth, and R. G. Barrera, " `Superluminal' transmission of light pulses through optically opaque barriers," Phys. Rev. E 63, 027601 (2001).
[Crossref]

Sankey, N. D.

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, "All-optical switching in a nonlinear periodic-waveguide structure," Appl. Phys. Lett. 60, 1427-1429 (1992).
[Crossref]

Scalora, M.

G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
[Crossref] [PubMed]

M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
[Crossref] [PubMed]

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band edge laser: a new approach to gain enhancement," J. Appl. Phys. 75, 1896-1899 (1994).
[Crossref]

Settimi, A.

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

Severini, S.

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

Sibilia, C.

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

Sipe, J. E.

C. M. deSterke and J. E. Sipe, "Switching dynamics of finite periodic nonlinear media: a numerical study," Phys. Rev. A 42, 2858-2869 (1990).
[Crossref]

Tocci, M. D.

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
[Crossref] [PubMed]

Vidakovic, P.

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

Villa, F.

Wang, Z.

Z. Wang and D. Liu, "Effect of refractive index of environment medium on electromagnetic mode density in photonic band gaps," Appl. Phys. B: Photophys. Laser Chem. 82, 549-553 (2006).
[Crossref]

Winn, J. N.

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band gaps material," J. Mod. Opt. 41, 257-262 (1994).
[Crossref]

Wubs, M.

M. Wubs and A. Lagendijk, "Local optical density of states in finite crystals of plane scatterers," Phys. Rev. E 65, 046612 (2002).
[Crossref]

Yablonovitch, E.

E. Yablonovitch and T. J. Gmitter, "Photonic band structure: the face-centered-cubic case," Phys. Rev. Lett. 63, 1950-1953 (1989).
[Crossref] [PubMed]

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[Crossref] [PubMed]

Yariv, A.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Chap. 1.

Yeh, P.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Chap. 1.

Zheltikov, A. M.

G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
[Crossref]

Appl. Phys. B: Photophys. Laser Chem. (1)

Z. Wang and D. Liu, "Effect of refractive index of environment medium on electromagnetic mode density in photonic band gaps," Appl. Phys. B: Photophys. Laser Chem. 82, 549-553 (2006).
[Crossref]

Appl. Phys. Lett. (1)

N. D. Sankey, D. F. Prelewitz, and T. G. Brown, "All-optical switching in a nonlinear periodic-waveguide structure," Appl. Phys. Lett. 60, 1427-1429 (1992).
[Crossref]

Europhys. Lett. (1)

A. Moroz, "Minima and maxima of the local density of states for one-dimensional periodic systems," Europhys. Lett. 46, 419 (1999).
[Crossref]

J. Appl. Phys. (1)

J. P. Dowling, M. Scalora, M. J. Bloemer, and C. M. Bowden, "The photonic band edge laser: a new approach to gain enhancement," J. Appl. Phys. 75, 1896-1899 (1994).
[Crossref]

J. Mod. Opt. (1)

J. N. Winn, R. D. Meade, and J. D. Joannopoulos, "Two-dimensional photonic band gaps material," J. Mod. Opt. 41, 257-262 (1994).
[Crossref]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. A (3)

C. M. deSterke and J. E. Sipe, "Switching dynamics of finite periodic nonlinear media: a numerical study," Phys. Rev. A 42, 2858-2869 (1990).
[Crossref]

M. D. Tocci, M. Scalora, M. J. Bloemer, J. P. Dowling, and C. M. Bowden, "Measurement of spontaneous-emission enhancement near the one-dimensional photonic band edge of semiconductor heterostructures," Phys. Rev. A 53, 2799-2803 (1996).
[Crossref] [PubMed]

M. Scalora, J. P. Dowling, A. S. Manka, C. M. Bowden, and J. W. Haus, "Pulse propagation near highly reflective surfaces: applications to photonic band-gap structures and the question of superluminal tunneling times," Phys. Rev. A 52, 726-734 (1995).
[Crossref] [PubMed]

Phys. Rev. B (4)

R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B 44, 10961 (1991).
[Crossref]

F. Ramos-Mendieta and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: effect of the position of the surface plane," Phys. Rev. B 59, 15112 (1999).
[Crossref]

M. L. H. Lahlaouti, A. Akjouj, B. Djafari-Rouhani, and L. Dobrzynski, "Resonant and localized electromagnetic modes in finite superlattices," Phys. Rev. B 61, 2059-2064 (1999).
[Crossref]

S. John and R. Rangarajan, "Optimal structures for classical wave localization: an alternative to the ioffe-regel criterion," Phys. Rev. B 38, 10101-10104 (1988).
[Crossref]

Phys. Rev. E (8)

J. M. Bendickson and J. P. Dowling, "Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures," Phys. Rev. E 53, 4107-4121 (1996).
[Crossref]

A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, "Quasinormal-mode description of waves in one-dimensional photonic crystals," Phys. Rev. E 68, 026614 (2003).
[Crossref]

M. Wubs and A. Lagendijk, "Local optical density of states in finite crystals of plane scatterers," Phys. Rev. E 65, 046612 (2002).
[Crossref]

G. D'Aguanno, N. Mattiucci, M. Scalora, M. J. Bloemer, and A. M. Zheltikov, "Density of modes and tunneling times in finite one-dimensional photonic crystals: a comprehensive analysis," Phys. Rev. E 70, 016612 (2004).
[Crossref]

S. Severini, A. Settimi, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Second quantization and atomic spontaneous emission inside one-dimensional photonic crystals via a quasinormal-modes approach," Phys. Rev. E 70, 056614 (2004).
[Crossref]

G. D'Aguanno, M. Centini, M. Scalora, C. Sibilia, Y. Dumeige, P. Vidakovic, J. A. Levenson, M. J. Bloemer, C. M. Bowden, J. W. Haus, and M. Bertolotti, "Photonic band edge effects in finite structures and applications to χ(2) interactions," Phys. Rev. E 64, 016609 (2001).
[Crossref]

V. Romero-Rochý'n, R. P. Duarte-Zamorano, S. Nilsen-Hofseth, and R. G. Barrera, " `Superluminal' transmission of light pulses through optically opaque barriers," Phys. Rev. E 63, 027601 (2001).
[Crossref]

A. Settimi, S. Severini, M. Centini, C. Sibilia, M. Bertolotti, A. Napoli, and A. Messina, "Coherent control of stimulated emission inside one-dimensional photonic crystals," Phys. Rev. E 71, 066606 (2005).
[Crossref]

Phys. Rev. Lett. (3)

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[Crossref] [PubMed]

E. Yablonovitch and T. J. Gmitter, "Photonic band structure: the face-centered-cubic case," Phys. Rev. Lett. 63, 1950-1953 (1989).
[Crossref] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[Crossref] [PubMed]

Other (1)

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Chap. 1.

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 (9)

Fig. 1
Fig. 1

Schematic representation of the finite multilayered period structure.

Fig. 2
Fig. 2

Electromagnetic DOM changes with relative frequency of the incident wave under the condition of n = 5 .

Fig. 3
Fig. 3

Normalized electromagnetic DOM changes with relative frequency under the condition of σ = 5.25 .

Fig. 4
Fig. 4

Normalized electromagnetic DOM changes with relative frequency under the condition of σ = 5.1 and 5.2. (a) τ = 0.1 ; (b) τ = 0.2 .

Fig. 5
Fig. 5

Electromagnetic DOM at the low (solid curve) and high (dashed curve) frequency band edge changes with the periodic number σ under the condition n = 5 and in normal incidence.

Fig. 6
Fig. 6

Electromagnetic DOM at midgap changes with the periodic number σ under the condition n = 5 and in normal incidence.

Fig. 7
Fig. 7

Local DOS at the high frequency band edge of the first bandgap in the third cell. The solid curve is for the photonic crystal with σ = 5.4 , and the dotted curve is for the case with σ = 5 .

Fig. 8
Fig. 8

Electromagnetic DOM at the low (solid curve) and high (dashed curve) frequency band edge of the first bandgap changes with σ (oblique incident θ = 30 ° ).

Fig. 9
Fig. 9

Electromagnetic DOM at midgap changes with the periodic number σ under the condition n = 5 (oblique incident θ = 30 ° ).

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

M j = [ cos δ j i η j sin δ j i η j sin δ j cos δ j ] ,
η j = { ϵ j μ j cos θ j TE μ j ϵ j cos θ j TM } .
t = 2 η 0 M 11 η 0 + M 21 + M 12 η k + 1 η 0 + M 22 η k + 1 ,
ρ ( ω ) = d k d ω = 1 d ( ( y x x y ) ( x 2 + y 2 ) ) ,

Metrics