Abstract

We present a novel design of enhanced second-harmonic generation in a periodically poled ferroelectric crystal. It profits from enhanced light intensity and slowed group velocity, which occur near photonic band edges through electro-optic modulation. The designed structure, with 108 periods and a length of 322  μm, can generate a second-harmonic beam whose conversion efficiency is 2 orders of magnitude larger than the one produced by an equivalent length of quasi-phase-matching bulk medium. This result might be beneficial to the development of optics integration and compact devices.

© 2007 Optical Society of America

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  1. S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second-harmonic generation of blue light in electrically periodically poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
    [CrossRef]
  2. S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
    [CrossRef]
  3. K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).
    [CrossRef] [PubMed]
  4. R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).
    [CrossRef] [PubMed]
  5. N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
    [CrossRef] [PubMed]
  6. L. H. Peng, C.-C. Hsu, and Y.-C. Shih, "Second-harmonic green generation from two-dimensional χ(2) nonlinear photonic crystal with orthorhombic lattice structure," Appl. Phys. Lett. 83, 3447-3449 (2003).
    [CrossRef]
  7. S. Moscovich, A. Arie, R. Urneski, A. Agronin, G. Rosenman, and Y. Rosenwaks, "Noncollinear second-harmonic generation in submicrometer-poled RbTiOPO4," Opt. Express 12, 2236-22242 (2004).
    [CrossRef] [PubMed]
  8. G. W. Baxter, P. Schlup, I. T. McKinnie, J. Hellostrǒm, and F. Laurell, "Single-mode near-infrared optical parametric oscillator amplifier based on periodically poled KTiOPO4," Appl. Opt. 40, 6659-6662 (2001).
    [CrossRef]
  9. C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, "Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4," Appl. Phys. Lett. 86, 181105 (2005).
    [CrossRef]
  10. P. G. Ni, B. Q. Ma, B. Y. Cheng, and D. Z. Zhang, "A two-dimensional nonlinear photonic crystal with a rectangular loop," Chin. Phys. Lett. 22, 519-521 (2003).
  11. J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
    [CrossRef]
  12. A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, and A. P. Shkurinov, "Enhancement of second-harmonic generation with femtosecond laser pulses near the photonic band edge for different polarizations of incident light," Opt. Lett. 24, 793-795 (1999).
    [CrossRef]
  13. G. Vecchi, J. Terres, D. Coquillat, and M. L. V. d'Yerville, "Enhancement of visible second-harmonic generation in epitaxial GaN-based two-dimensional photonic crystal structures," Appl. Phys. Lett. 84, 1245-1247 (2004).
    [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. E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
    [CrossRef] [PubMed]
  16. J. Sayeev, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
    [CrossRef]
  17. P. V. Lenozo, E. G. Spencer, and A. A. Ballman, "Electro-optic coefficients of ferroelectric stromtium barium niobate," Appl. Phys. Lett. 11, 23-24 (1967).
    [CrossRef]
  18. E. L. Venturini, E. G. Spencer, P. V. Lenzo, and A. A. Ballman, "Refractive index of strontium barium niobate," J. Appl. Phys. 39, 343-344 (1968).
    [CrossRef]
  19. A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.
  20. V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
    [CrossRef]
  21. S. U. Haq and G. G. Raju, "DC breakdown characteristics of high-temperature polymer films," IEEE Trans. Dielectr. Electr. Insul. 13, 917-926 (2006).
    [CrossRef]
  22. R. J. Pressley, Handbook of Lasers with Selected Data on Optical Technology (CRC Press, 1971).

2006 (1)

S. U. Haq and G. G. Raju, "DC breakdown characteristics of high-temperature polymer films," IEEE Trans. Dielectr. Electr. Insul. 13, 917-926 (2006).
[CrossRef]

2005 (2)

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, "Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4," Appl. Phys. Lett. 86, 181105 (2005).
[CrossRef]

2004 (3)

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

G. Vecchi, J. Terres, D. Coquillat, and M. L. V. d'Yerville, "Enhancement of visible second-harmonic generation in epitaxial GaN-based two-dimensional photonic crystal structures," Appl. Phys. Lett. 84, 1245-1247 (2004).
[CrossRef]

S. Moscovich, A. Arie, R. Urneski, A. Agronin, G. Rosenman, and Y. Rosenwaks, "Noncollinear second-harmonic generation in submicrometer-poled RbTiOPO4," Opt. Express 12, 2236-22242 (2004).
[CrossRef] [PubMed]

2003 (3)

V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
[CrossRef]

P. G. Ni, B. Q. Ma, B. Y. Cheng, and D. Z. Zhang, "A two-dimensional nonlinear photonic crystal with a rectangular loop," Chin. Phys. Lett. 22, 519-521 (2003).

L. H. Peng, C.-C. Hsu, and Y.-C. Shih, "Second-harmonic green generation from two-dimensional χ(2) nonlinear photonic crystal with orthorhombic lattice structure," Appl. Phys. Lett. 83, 3447-3449 (2003).
[CrossRef]

2002 (1)

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

2001 (1)

2000 (1)

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

1999 (1)

1997 (2)

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]

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

1991 (1)

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second-harmonic generation of blue light in electrically periodically poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

1987 (2)

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

J. Sayeev, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef]

1968 (1)

E. L. Venturini, E. G. Spencer, P. V. Lenzo, and A. A. Ballman, "Refractive index of strontium barium niobate," J. Appl. Phys. 39, 343-344 (1968).
[CrossRef]

1967 (1)

P. V. Lenozo, E. G. Spencer, and A. A. Ballman, "Electro-optic coefficients of ferroelectric stromtium barium niobate," Appl. Phys. Lett. 11, 23-24 (1967).
[CrossRef]

Agronin, A.

Albert, J. P.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Arie, A.

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

S. Moscovich, A. Arie, R. Urneski, A. Agronin, G. Rosenman, and Y. Rosenwaks, "Noncollinear second-harmonic generation in submicrometer-poled RbTiOPO4," Opt. Express 12, 2236-22242 (2004).
[CrossRef] [PubMed]

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

Bahabad, A.

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

Balakin, A. V.

Ballman, A. A.

E. L. Venturini, E. G. Spencer, P. V. Lenzo, and A. A. Ballman, "Refractive index of strontium barium niobate," J. Appl. Phys. 39, 343-344 (1968).
[CrossRef]

P. V. Lenozo, E. G. Spencer, and A. A. Ballman, "Electro-optic coefficients of ferroelectric stromtium barium niobate," Appl. Phys. Lett. 11, 23-24 (1967).
[CrossRef]

Baxter, G. W.

Beiot, O.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Bloemer, M. J.

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.

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]

Broderick, N. G. R.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Bushuev, V. A.

Bustamante, C.

A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.

Canalias, C.

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, "Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4," Appl. Phys. Lett. 86, 181105 (2005).
[CrossRef]

Cassagne, D.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Centeno, E.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Chen, Y.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Cheng, B. Y.

P. G. Ni, B. Q. Ma, B. Y. Cheng, and D. Z. Zhang, "A two-dimensional nonlinear photonic crystal with a rectangular loop," Chin. Phys. Lett. 22, 519-521 (2003).

Coquillat, D.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

G. Vecchi, J. Terres, D. Coquillat, and M. L. V. d'Yerville, "Enhancement of visible second-harmonic generation in epitaxial GaN-based two-dimensional photonic crystal structures," Appl. Phys. Lett. 84, 1245-1247 (2004).
[CrossRef]

Diels, J.

A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.

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]

d'Yerville, M. L. V.

G. Vecchi, J. Terres, D. Coquillat, and M. L. V. d'Yerville, "Enhancement of visible second-harmonic generation in epitaxial GaN-based two-dimensional photonic crystal structures," Appl. Phys. Lett. 84, 1245-1247 (2004).
[CrossRef]

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Fejer, M. M.

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second-harmonic generation of blue light in electrically periodically poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

Fokine, M.

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, "Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4," Appl. Phys. Lett. 86, 181105 (2005).
[CrossRef]

Fradkin-Kashi, K.

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

Gladkii, V. V.

V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
[CrossRef]

Hanna, D. C.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Haq, S. U.

S. U. Haq and G. G. Raju, "DC breakdown characteristics of high-temperature polymer films," IEEE Trans. Dielectr. Electr. Insul. 13, 917-926 (2006).
[CrossRef]

Haus, J. W.

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]

Hellostrom, J.

Hertz, H. M.

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second-harmonic generation of blue light in electrically periodically poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

Hsu, C.-C.

L. H. Peng, C.-C. Hsu, and Y.-C. Shih, "Second-harmonic green generation from two-dimensional χ(2) nonlinear photonic crystal with orthorhombic lattice structure," Appl. Phys. Lett. 83, 3447-3449 (2003).
[CrossRef]

Isakov, D. V.

V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
[CrossRef]

Ivanova, E. S.

V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
[CrossRef]

Juang, C.

A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.

Kirikov, V. A.

V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
[CrossRef]

Koroteev, N. I.

Lascaray, J. P.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Laurell, F.

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, "Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4," Appl. Phys. Lett. 86, 181105 (2005).
[CrossRef]

G. W. Baxter, P. Schlup, I. T. McKinnie, J. Hellostrǒm, and F. Laurell, "Single-mode near-infrared optical parametric oscillator amplifier based on periodically poled KTiOPO4," Appl. Opt. 40, 6659-6662 (2001).
[CrossRef]

Legros, R.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Lenozo, P. V.

P. V. Lenozo, E. G. Spencer, and A. A. Ballman, "Electro-optic coefficients of ferroelectric stromtium barium niobate," Appl. Phys. Lett. 11, 23-24 (1967).
[CrossRef]

Lenzo, P. V.

E. L. Venturini, E. G. Spencer, P. V. Lenzo, and A. A. Ballman, "Refractive index of strontium barium niobate," J. Appl. Phys. 39, 343-344 (1968).
[CrossRef]

Lifshitz, R.

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

Lim, E. J.

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second-harmonic generation of blue light in electrically periodically poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

Ma, B. Q.

P. G. Ni, B. Q. Ma, B. Y. Cheng, and D. Z. Zhang, "A two-dimensional nonlinear photonic crystal with a rectangular loop," Chin. Phys. Lett. 22, 519-521 (2003).

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.

Matsumoto, S.

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second-harmonic generation of blue light in electrically periodically poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

McKinnie, I. T.

Ming, N. B.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

Moscovich, S.

Ni, P. G.

P. G. Ni, B. Q. Ma, B. Y. Cheng, and D. Z. Zhang, "A two-dimensional nonlinear photonic crystal with a rectangular loop," Chin. Phys. Lett. 22, 519-521 (2003).

Offerhaus, H. L.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Ozheredov, I. A.

Pasiskevicius, V.

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, "Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4," Appl. Phys. Lett. 86, 181105 (2005).
[CrossRef]

Peng, L. H.

L. H. Peng, C.-C. Hsu, and Y.-C. Shih, "Second-harmonic green generation from two-dimensional χ(2) nonlinear photonic crystal with orthorhombic lattice structure," Appl. Phys. Lett. 83, 3447-3449 (2003).
[CrossRef]

Peyrade, D.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Pressley, R. J.

R. J. Pressley, Handbook of Lasers with Selected Data on Optical Technology (CRC Press, 1971).

Raju, G. G.

S. U. Haq and G. G. Raju, "DC breakdown characteristics of high-temperature polymer films," IEEE Trans. Dielectr. Electr. Insul. 13, 917-926 (2006).
[CrossRef]

Richardson, D. J.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Rosenman, G.

S. Moscovich, A. Arie, R. Urneski, A. Agronin, G. Rosenman, and Y. Rosenwaks, "Noncollinear second-harmonic generation in submicrometer-poled RbTiOPO4," Opt. Express 12, 2236-22242 (2004).
[CrossRef] [PubMed]

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

Rosenwaks, Y.

Ross, G. W.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Sayeev, J.

J. Sayeev, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef]

Scalbert, D.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Scalora, M.

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]

Schlup, P.

Shih, Y.-C.

L. H. Peng, C.-C. Hsu, and Y.-C. Shih, "Second-harmonic green generation from two-dimensional χ(2) nonlinear photonic crystal with orthorhombic lattice structure," Appl. Phys. Lett. 83, 3447-3449 (2003).
[CrossRef]

Shkurinov, A. P.

Spencer, E. G.

E. L. Venturini, E. G. Spencer, P. V. Lenzo, and A. A. Ballman, "Refractive index of strontium barium niobate," J. Appl. Phys. 39, 343-344 (1968).
[CrossRef]

P. V. Lenozo, E. G. Spencer, and A. A. Ballman, "Electro-optic coefficients of ferroelectric stromtium barium niobate," Appl. Phys. Lett. 11, 23-24 (1967).
[CrossRef]

Teppe, F.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Terres, J.

G. Vecchi, J. Terres, D. Coquillat, and M. L. V. d'Yerville, "Enhancement of visible second-harmonic generation in epitaxial GaN-based two-dimensional photonic crystal structures," Appl. Phys. Lett. 84, 1245-1247 (2004).
[CrossRef]

Torres, J.

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Urenski, P.

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

Urneski, R.

Vecchi, G.

G. Vecchi, J. Terres, D. Coquillat, and M. L. V. d'Yerville, "Enhancement of visible second-harmonic generation in epitaxial GaN-based two-dimensional photonic crystal structures," Appl. Phys. Lett. 84, 1245-1247 (2004).
[CrossRef]

Venturini, E. L.

E. L. Venturini, E. G. Spencer, P. V. Lenzo, and A. A. Ballman, "Refractive index of strontium barium niobate," J. Appl. Phys. 39, 343-344 (1968).
[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]

Volk, T. R.

V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
[CrossRef]

Wang, F.

A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.

Wu, A. Y.

A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.

Yablonovitch, E.

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

Yeh, C.

A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.

Zhang, D. Z.

P. G. Ni, B. Q. Ma, B. Y. Cheng, and D. Z. Zhang, "A two-dimensional nonlinear photonic crystal with a rectangular loop," Chin. Phys. Lett. 22, 519-521 (2003).

Zhu, S. N.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

Zhu, Y. Y.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (4)

L. H. Peng, C.-C. Hsu, and Y.-C. Shih, "Second-harmonic green generation from two-dimensional χ(2) nonlinear photonic crystal with orthorhombic lattice structure," Appl. Phys. Lett. 83, 3447-3449 (2003).
[CrossRef]

C. Canalias, V. Pasiskevicius, M. Fokine, and F. Laurell, "Backward quasi-phase-matched second-harmonic generation in submicrometer periodically poled flux-grown KTiOPO4," Appl. Phys. Lett. 86, 181105 (2005).
[CrossRef]

G. Vecchi, J. Terres, D. Coquillat, and M. L. V. d'Yerville, "Enhancement of visible second-harmonic generation in epitaxial GaN-based two-dimensional photonic crystal structures," Appl. Phys. Lett. 84, 1245-1247 (2004).
[CrossRef]

P. V. Lenozo, E. G. Spencer, and A. A. Ballman, "Electro-optic coefficients of ferroelectric stromtium barium niobate," Appl. Phys. Lett. 11, 23-24 (1967).
[CrossRef]

Chin. Phys. Lett. (1)

P. G. Ni, B. Q. Ma, B. Y. Cheng, and D. Z. Zhang, "A two-dimensional nonlinear photonic crystal with a rectangular loop," Chin. Phys. Lett. 22, 519-521 (2003).

Electron. Lett. (1)

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second-harmonic generation of blue light in electrically periodically poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

IEEE Trans. Dielectr. Electr. Insul. (1)

S. U. Haq and G. G. Raju, "DC breakdown characteristics of high-temperature polymer films," IEEE Trans. Dielectr. Electr. Insul. 13, 917-926 (2006).
[CrossRef]

J. Appl. Phys. (1)

E. L. Venturini, E. G. Spencer, P. V. Lenzo, and A. A. Ballman, "Refractive index of strontium barium niobate," J. Appl. Phys. 39, 343-344 (1968).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

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 (1)

J. Torres, D. Coquillat, R. Legros, J. P. Lascaray, F. Teppe, D. Scalbert, D. Peyrade, Y. Chen, O. Beiot, M. L. V. 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, 08515 (2004).
[CrossRef]

Phys. Rev. Lett. (5)

K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).
[CrossRef] [PubMed]

R. Lifshitz, A. Arie, and A. Bahabad, "Photonic quasicrystals for nonlinear optical frequency conversion," Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

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

J. Sayeev, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef]

Phys. Solid State (1)

V. V. Gladkiǐ, V. A. Kirikov, T. R. Volk, D. V. Isakov, and E. S. Ivanova, "Specific features in the ferroelectric properties of Sr0.75Ba0.25Nb2O6 crystals," Phys. Solid State 45, 2171-2177 (2003).
[CrossRef]

Science (1)

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

Other (2)

A. Y. Wu, F. Wang, C. Juang, C. Bustamante, C. Yeh, and J. Diels, "Electro-optic and nonlinear optical properties of (Pb, La)(Zr, Ti)OKTiOPO3, BaTiO3, (Sr, Ba)Nb2O3, Ba2NaNb5O15, and beta-BaB2O4 thin films," in Proceedings of IEEE International Symposium on Applications of Ferroelctrics (IEEE, 1990), pp. 135-138.

R. J. Pressley, Handbook of Lasers with Selected Data on Optical Technology (CRC Press, 1971).

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Figures (7)

Fig. 1
Fig. 1

Schematic of nonlinear medium with a periodic structure. The arrows inside the crystal indicate the spontaneous polarization direction. The surfaces of the crystal are coated with insulator layers to prevent the domains from being poled in a single direction while a high electric field is applied.

Fig. 2
Fig. 2

Photonic band structure of the periodic medium along the x direction.

Fig. 3
Fig. 3

Second-harmonic conversion efficiency as a function of pump light intensity: (a) the QPM plus the band edge and (b) QPM only. The squares represent calculated value, and the solid line is a linear fit. The conversion efficiency is defined as a ratio between the SH light intensity and the pump light intensity.

Fig. 4
Fig. 4

Transmission spectrum around the pump wavelength.

Fig. 5
Fig. 5

Pump light intensity inside the periodic nonlinear medium. The maximum light intensity is amplified 70 times.

Fig. 6
Fig. 6

Group index as a function of wavelength. This function also represents the effective length of the crystal.

Fig. 7
Fig. 7

Second-harmonic light intensity versus thickness of positive domain l p . The maximum output occurs when the pump signal is tuned to the band edge.

Equations (6)

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

η SHG = 8 π 2 d eff 2 I ω L eff 2 c ε 0 λ ω 2 n 2 ω n ω 2 sin 2 ( Δ k L eff / 2 ) ( Δ k L eff / 2 ) 2 ,
ε = ( n + Δ n ) 2
n 2 + 2 n Δ n
= n 2 n 4 γ 33 E f ( x ) ,
f ( x ) = { + 1 if   x   is   in   the   positive   domains 1 if   x   is   in   the   negative   domains .
n 2 ( λ ) = 5.025 + 1.131 × 10 5 λ 2 6.7225 × 10 4 1.605 × 10 5 λ .

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