N. Yang, W. E. Angerer, and A. G. Yodh, “Angle-resolved second-harmonic light scattering from colloidal particles,” Phys. Rev. Lett. 87(10), 103902 (1–4) (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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (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. de Sterke, S. M. Saltiel, and Y. Kivshar, “Efficient collinear fourth-harmonic generation by two-channel multistep cascading in a single two-dimensional nonlinear photonic crystal,” Opt. Lett. 26, 539–541 (2001).

[CrossRef]

J. I. Dadap, J. Shan, K. B. Eisenthal, and T. F. Heinz, “Second-harmonic Rayleigh scattering from a sphere of centrosymmetric material,” Phys. Rev. Lett. 83, 4045–4048 (1999).

[CrossRef]

K. Sakoda, “Enhanced light amplification due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals,” Opt. Express 4, 167–176 (1999), http://www.osa.org/opticsexpress.

[CrossRef]
[PubMed]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

J. Trull, J. Martorell, and R. Vilaseca, “Angular dependence of phase-matched second-harmonic generation in a photonic crystal,” J. Opt. Soc. Am. B 15, 2581–2585 (1998).

[CrossRef]

H.-B. Lin, R. J. Tonucci, and A. J. Campillo, “Two-dimensional photonic bandgap optical limiter in the visible,” Opt. Lett. 23, 94–96 (1998).

[CrossRef]

J. Martorell, R. Vilaseca, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Appl. Phys. Lett. 70, 702–704 (1997).

[CrossRef]

J. Martorell, R. Vilaseca, and R. Corbalán, “Scattering of second harmonic light from small spherical particles ordered in a crystalline lattice,” Phys. Rev. A 55, 4520–4525 (1997).

[CrossRef]

J. Martorell, R. Vilaseca, J. Trull, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Opt. Photon. News 8, 34 (1997).

[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]

K. Sakoda and K. Ohtaka, “Optical response of three-dimensional photonic lattices: solutions of inhomogeneous Maxwell’s equations and their applications,” Phys. Rev. B 54, 5732–5741 (1996).

[CrossRef]

K. Sakoda and K. Ohtaka, “Sum-frequency generation in two-dimensional photonic lattices,” Phys. Rev. B 54, 5722–5749 (1996).

[CrossRef]

R. J. Gehr, G. L. Fischer, R. W. Boyd, and J. E. Sipe, “Nonlinear response of layered composite materials,” Phys. Rev. A 53, 2792–2798 (1996).

[CrossRef]
[PubMed]

J. Martorell and R. Corbalán, “Enhancement of second harmonic generation in a periodic structure with a defect,” Opt. Commun. 108, 319–323 (1994).

[CrossRef]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).

[CrossRef]
[PubMed]

C. J. Herbert, W. S. Capinski, and M. S. Malcuit, “Optical power limiting with nonlinear periodic structures,” Opt. Lett. 17, 1037–1039 (1992).

[CrossRef]
[PubMed]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Bayer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).

[CrossRef]

J. Martorell and N. M. Lawandy, “Observation of inhibited spontaneous emission in a periodic dielectric structure,” Phys. Rev. Lett. 65, 1877–1880 (1990).

[CrossRef]
[PubMed]

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).

[CrossRef]
[PubMed]

S. John, “Strong localization in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).

[CrossRef]
[PubMed]

Amnon Yariv and Pochi Yeh, “Electromagnetic propagation in periodic stratified media. II. Birefringence, phase matching, and x-ray lasers,” J. Opt. Soc. Am. B 67, 438–448 (1977).

[CrossRef]

J. P. Van der Ziel and M. Ilegems, “Optical second harmonic generation in periodic multilayer GaAs-Al_{0.3}Ga_{0.7}As structures,” Appl. Phys. Lett. 28, 437–439 (1976).

[CrossRef]

N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483 (1970).

[CrossRef]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).

[CrossRef]

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[CrossRef]

N. Yang, W. E. Angerer, and A. G. Yodh, “Angle-resolved second-harmonic light scattering from colloidal particles,” Phys. Rev. Lett. 87(10), 103902 (1–4) (2001).

[CrossRef]
[PubMed]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).

[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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (2001).

[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Bayer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).

[CrossRef]

N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483 (1970).

[CrossRef]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).

[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]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).

[CrossRef]
[PubMed]

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]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).

[CrossRef]
[PubMed]

R. J. Gehr, G. L. Fischer, R. W. Boyd, and J. E. Sipe, “Nonlinear response of layered composite materials,” Phys. Rev. A 53, 2792–2798 (1996).

[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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (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]

J. Martorell, R. Vilaseca, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Appl. Phys. Lett. 70, 702–704 (1997).

[CrossRef]

J. Martorell, R. Vilaseca, J. Trull, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Opt. Photon. News 8, 34 (1997).

[CrossRef]

J. Martorell, R. Vilaseca, and R. Corbalán, “Scattering of second harmonic light from small spherical particles ordered in a crystalline lattice,” Phys. Rev. A 55, 4520–4525 (1997).

[CrossRef]

J. Trull, R. Vilaseca, J. Martorell, and R. Corbalán, “Second-harmonic generation in local modes of a truncated periodic structure,” Opt. Lett. 20, 1746–1748 (1995).

[CrossRef]
[PubMed]

J. Martorell and R. Corbalán, “Enhancement of second harmonic generation in a periodic structure with a defect,” Opt. Commun. 108, 319–323 (1994).

[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]

J. I. Dadap, J. Shan, K. B. Eisenthal, and T. F. Heinz, “Second-harmonic Rayleigh scattering from a sphere of centrosymmetric material,” Phys. Rev. Lett. 83, 4045–4048 (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]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).

[CrossRef]
[PubMed]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).

[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]

J. I. Dadap, J. Shan, K. B. Eisenthal, and T. F. Heinz, “Second-harmonic Rayleigh scattering from a sphere of centrosymmetric material,” Phys. Rev. Lett. 83, 4045–4048 (1999).

[CrossRef]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Bayer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).

[CrossRef]

R. J. Gehr, G. L. Fischer, R. W. Boyd, and J. E. Sipe, “Nonlinear response of layered composite materials,” Phys. Rev. A 53, 2792–2798 (1996).

[CrossRef]
[PubMed]

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[CrossRef]

R. J. Gehr, G. L. Fischer, R. W. Boyd, and J. E. Sipe, “Nonlinear response of layered composite materials,” Phys. Rev. A 53, 2792–2798 (1996).

[CrossRef]
[PubMed]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (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]

J. I. Dadap, J. Shan, K. B. Eisenthal, and T. F. Heinz, “Second-harmonic Rayleigh scattering from a sphere of centrosymmetric material,” Phys. Rev. Lett. 83, 4045–4048 (1999).

[CrossRef]

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[CrossRef]

J. P. Van der Ziel and M. Ilegems, “Optical second harmonic generation in periodic multilayer GaAs-Al_{0.3}Ga_{0.7}As structures,” Appl. Phys. Lett. 28, 437–439 (1976).

[CrossRef]

S. John, “Strong localization in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).

[CrossRef]
[PubMed]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Bayer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).

[CrossRef]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

J. Martorell and N. M. Lawandy, “Observation of inhibited spontaneous emission in a periodic dielectric structure,” Phys. Rev. Lett. 65, 1877–1880 (1990).

[CrossRef]
[PubMed]

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]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Bayer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28, 2631–2654 (1992).

[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]

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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (2001).

[CrossRef]

J. Trull, J. Martorell, and R. Vilaseca, “Angular dependence of phase-matched second-harmonic generation in a photonic crystal,” J. Opt. Soc. Am. B 15, 2581–2585 (1998).

[CrossRef]

J. Martorell, R. Vilaseca, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Appl. Phys. Lett. 70, 702–704 (1997).

[CrossRef]

J. Martorell, R. Vilaseca, J. Trull, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Opt. Photon. News 8, 34 (1997).

[CrossRef]

J. Martorell, R. Vilaseca, and R. Corbalán, “Scattering of second harmonic light from small spherical particles ordered in a crystalline lattice,” Phys. Rev. A 55, 4520–4525 (1997).

[CrossRef]

J. Trull, R. Vilaseca, J. Martorell, and R. Corbalán, “Second-harmonic generation in local modes of a truncated periodic structure,” Opt. Lett. 20, 1746–1748 (1995).

[CrossRef]
[PubMed]

J. Martorell and R. Corbalán, “Enhancement of second harmonic generation in a periodic structure with a defect,” Opt. Commun. 108, 319–323 (1994).

[CrossRef]

J. Martorell and N. M. Lawandy, “Observation of inhibited spontaneous emission in a periodic dielectric structure,” Phys. Rev. Lett. 65, 1877–1880 (1990).

[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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (2001).

[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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (2001).

[CrossRef]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

K. Sakoda and K. Ohtaka, “Sum-frequency generation in two-dimensional photonic lattices,” Phys. Rev. B 54, 5722–5749 (1996).

[CrossRef]

K. Sakoda and K. Ohtaka, “Optical response of three-dimensional photonic lattices: solutions of inhomogeneous Maxwell’s equations and their applications,” Phys. Rev. B 54, 5732–5741 (1996).

[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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (2001).

[CrossRef]

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).

[CrossRef]

P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–119 (1961).

[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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (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]

K. Sakoda, “Enhanced light amplification due to group-velocity anomaly peculiar to two- and three-dimensional photonic crystals,” Opt. Express 4, 167–176 (1999), http://www.osa.org/opticsexpress.

[CrossRef]
[PubMed]

K. Sakoda and K. Ohtaka, “Optical response of three-dimensional photonic lattices: solutions of inhomogeneous Maxwell’s equations and their applications,” Phys. Rev. B 54, 5732–5741 (1996).

[CrossRef]

K. Sakoda and K. Ohtaka, “Sum-frequency generation in two-dimensional photonic lattices,” Phys. Rev. B 54, 5722–5749 (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]

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. 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]

M. Scalora, J. P. Dowling, C. M. Bowden, and M. J. Bloemer, “Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials,” Phys. Rev. Lett. 73, 1368–1371 (1994).

[CrossRef]
[PubMed]

J. I. Dadap, J. Shan, K. B. Eisenthal, and T. F. Heinz, “Second-harmonic Rayleigh scattering from a sphere of centrosymmetric material,” Phys. Rev. Lett. 83, 4045–4048 (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 the photonic band edge under quasi phase matching conditions,” Phys. Rev. E 63, 046609 (1–11) (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]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483 (1970).

[CrossRef]

R. J. Gehr, G. L. Fischer, R. W. Boyd, and J. E. Sipe, “Nonlinear response of layered composite materials,” Phys. Rev. A 53, 2792–2798 (1996).

[CrossRef]
[PubMed]

L. A. Golovan, A. M. Zheltikov, P. K. Kashkarov, N. I. Koroteev, M. G. Lisachenki, A. N. Naumov, D. A. Sidorov-Biryukov, V. Yu Timoshenko, and A. B. Fedotov, “Generation of second optical harmonic in porous silicon-based structures with a photonic band gap,” JETP Lett. 69, 300–305 (1999).

[CrossRef]

J. Trull, J. Martorell, and R. Vilaseca, “Angular dependence of phase-matched second-harmonic generation in a photonic crystal,” J. Opt. Soc. Am. B 15, 2581–2585 (1998).

[CrossRef]

J. Martorell, R. Vilaseca, J. Trull, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Opt. Photon. News 8, 34 (1997).

[CrossRef]

J. Trull, R. Vilaseca, J. Martorell, and R. Corbalán, “Second-harmonic generation in local modes of a truncated periodic structure,” Opt. Lett. 20, 1746–1748 (1995).

[CrossRef]
[PubMed]

J. P. Van der Ziel and M. Ilegems, “Optical second harmonic generation in periodic multilayer GaAs-Al_{0.3}Ga_{0.7}As structures,” Appl. Phys. Lett. 28, 437–439 (1976).

[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]

J. Trull, J. Martorell, and R. Vilaseca, “Angular dependence of phase-matched second-harmonic generation in a photonic crystal,” J. Opt. Soc. Am. B 15, 2581–2585 (1998).

[CrossRef]

J. Martorell, R. Vilaseca, and R. Corbalán, “Second harmonic generation in a photonic crystal,” Appl. Phys. Lett. 70, 702–704 (1997).

[CrossRef]

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As is well known, bound states in 3-D lattices are obtained only when the strength of the defect exceeds a critical threshold value, see, for instance, P. Sheng, Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena (Academic, San Diego, Calif., 1995).

See, for instance, E. Butkov, Mathematical Physics (Addison-Wesley, Reading, Mass., 1968).

For a recent review see, for instance, C. M. Soukoulis, ed., Photonic Crystals and Light Localization in the 21st Century (Kluwer Academic, Dordrecht, The Netherlands, 2001).

J. Martorell, R. Vilaseca, and R. Corbalán, “Scattering of second harmonic light from small spherical particles,” in Quantum Electronics and Laser Science Conference (Optical Society of America, Washington, D.C., 1995) Vol. 16, p. 32.

J. Martorell, “Second-harmonic scattering from sites of a crystalline lattice,” in Photonic Band Gap Materials, C. M. Soukoulis, ed. (Kluwer Academic, Dordrecht, The Netherlands, 1996), p. 529–534.