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Four-wave mixing in one-dimensional photonic crystals: inhomogeneous-wave excitation
Anatoli V. Andreev, Alexei V. Balakin, Alexander B. Kozlov, Ilya A. Ozheredov, Ilya R. Prudnikov, Alexander P. Shkurinov, Pascal Masselin, and Gael Mouret »View Author Affiliations
Anatoli V. Andreev, Alexei V. Balakin, Alexander B. Kozlov, Ilya A. Ozheredov, Ilya R. Prudnikov, Alexander P. Shkurinov
Department of Physics and International Laser Center, M. V. Lomonosov Moscow State University, Moscow 119899, Russia
Laboratoire de Physico Chimie de l’Atmosphère, Centre National de la Recherche Scientifique Unité Mixte de Recherche 8101, Université du Littoral, 145 Avenue Maurice Schumann, 59140 Dunkerque, France
Laboratoire de Physico Chimie de l'Atmosphère, Centre National de la Recherche Scientifique Unité Mixte de Recherche 8101, Université du Littoral, 145 Avenue Maurice Schumann, 59140 Dunkerque, France
JOSA B, Vol. 19, Issue 8, pp. 1865-1872 (2002)
http://dx.doi.org/10.1364/JOSAB.19.001865
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Abstract
We present what is to our knowledge the first study of nonlinear four-wave mixing in one-dimensional photonic crystals. The possibility of inhomogeneous-wave excitation at the four-wave mixing frequency ω<sub>3</sub>=2ω<sub>1</sub>− ω<sub>2</sub> for two noncollinear beams of femtosecond laser pulses is demonstrated. As a result of this effect the wave at the frequency of four-wave mixing may be guided along the surface of the photonic crystal. Experiments of this type open the possibility of development of a new tool based on photonic crystal devices for coherent Raman spectroscopy of surfaces and of nanometer and submicrometer scale layers.
© 2002 Optical Society of America
OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
Citation
Anatoli V. Andreev, Alexei V. Balakin, Alexander B. Kozlov, Ilya A. Ozheredov, Ilya R. Prudnikov, Alexander P. Shkurinov, Pascal Masselin, and Gael Mouret, "Four-wave mixing in one-dimensional photonic crystals: inhomogeneous-wave excitation," J. Opt. Soc. Am. B 19, 1865-1872 (2002)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-8-1865
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Balakin, A. V.
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- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
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- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
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- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- I. S. Fogel, J. M. Bendickson, M. D. Tocci, M. J. Bloemer, M. Scalora, C. M. Bowden, and J. P. Dowling, “Spontaneous emission and nonlinear effects in photonic bandgap materials,” Pure Appl. Opt. 7, 393–407 (1998).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- R. L. Nelson and R. W. Boyd, “Enhanced third-order nonlinear optical response of photonic bandgap materials,” J. Mod. Opt. 46, 1061–1069 (1999).
- 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).
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
D’Aguanno, G.
- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant third harmonic in porous silicon photonic crystals and microcavities,” JETP Lett. 75, 15–19 (2002).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- I. S. Fogel, J. M. Bendickson, M. D. Tocci, M. J. Bloemer, M. Scalora, C. M. Bowden, and J. P. Dowling, “Spontaneous emission and nonlinear effects in photonic bandgap materials,” Pure Appl. Opt. 7, 393–407 (1998).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- 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).
- 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, 016609–1-9 (2001).
- A. Fainstein and B. Jusserand, “Raman scattering enhancement by optical confinement in a semiconductor planar microcavity,” Phys. Rev. Lett. 75, 3764–3767 (1995).
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant third harmonic in porous silicon photonic crystals and microcavities,” JETP Lett. 75, 15–19 (2002).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- I. S. Fogel, J. M. Bendickson, M. D. Tocci, M. J. Bloemer, M. Scalora, C. M. Bowden, and J. P. Dowling, “Spontaneous emission and nonlinear effects in photonic bandgap materials,” Pure Appl. Opt. 7, 393–407 (1998).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
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).
- 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, 016609–1-9 (2001).
Howe, J. B.
Joannopoulos, J. D.
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
- S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
- A. P. Shkurinov, N. I. Koroteev, G. Jonusauskas, and C. Rulliere, “Subpicosecond anisotropic CARS studies of vibrational mode-selective photoexcitation and relaxation of trans-stilbene: first few picoseconds,” Chem. Phys. Lett. 223, 573–580 (1994).
- A. Fainstein and B. Jusserand, “Raman scattering enhancement by optical confinement in a semiconductor planar microcavity,” Phys. Rev. Lett. 75, 3764–3767 (1995).
Koroteev, N. I.
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- A. P. Shkurinov, N. I. Koroteev, G. Jonusauskas, and C. Rulliere, “Subpicosecond anisotropic CARS studies of vibrational mode-selective photoexcitation and relaxation of trans-stilbene: first few picoseconds,” Chem. Phys. Lett. 223, 573–580 (1994).
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- 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, 016609–1-9 (2001).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant third harmonic in porous silicon photonic crystals and microcavities,” JETP Lett. 75, 15–19 (2002).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant third harmonic in porous silicon photonic crystals and microcavities,” JETP Lett. 75, 15–19 (2002).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Compression of femtosecond laser pulses in thin one-dimensional photonic crystals,” Phys. Rev. E 63, 016602–1-9 (2001).
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
Mouret, G.
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
- A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Compression of femtosecond laser pulses in thin one-dimensional photonic crystals,” Phys. Rev. E 63, 016602–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- R. L. Nelson and R. W. Boyd, “Enhanced third-order nonlinear optical response of photonic bandgap materials,” J. Mod. Opt. 46, 1061–1069 (1999).
- 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).
- A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Compression of femtosecond laser pulses in thin one-dimensional photonic crystals,” Phys. Rev. E 63, 016602–1-9 (2001).
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- L. G. Parratt, “Surface studies of solids by total reflection of x-rays,” Phys. Rev. 95, 359–369 (1954).
- 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).
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- 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).
- 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).
- A. P. Shkurinov, N. I. Koroteev, G. Jonusauskas, and C. Rulliere, “Subpicosecond anisotropic CARS studies of vibrational mode-selective photoexcitation and relaxation of trans-stilbene: first few picoseconds,” Chem. Phys. Lett. 223, 573–580 (1994).
- S. M. Rytov, “Electromagnetic properties of finite media,” Sov. Phys. JETP 2, 466–477 (1956).
- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- I. S. Fogel, J. M. Bendickson, M. D. Tocci, M. J. Bloemer, M. Scalora, C. M. Bowden, and J. P. Dowling, “Spontaneous emission and nonlinear effects in photonic bandgap materials,” Pure Appl. Opt. 7, 393–407 (1998).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Compression of femtosecond laser pulses in thin one-dimensional photonic crystals,” Phys. Rev. E 63, 016602–1-9 (2001).
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- A. P. Shkurinov, N. I. Koroteev, G. Jonusauskas, and C. Rulliere, “Subpicosecond anisotropic CARS studies of vibrational mode-selective photoexcitation and relaxation of trans-stilbene: first few picoseconds,” Chem. Phys. Lett. 223, 573–580 (1994).
- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–485 (1970).
Stegeman, G. I.
Szyzak, S. J.
Tocci, M. D.
- I. S. Fogel, J. M. Bendickson, M. D. Tocci, M. J. Bloemer, M. Scalora, C. M. Bowden, and J. P. Dowling, “Spontaneous emission and nonlinear effects in photonic bandgap materials,” Pure Appl. Opt. 7, 393–407 (1998).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
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, 016609–1-9 (2001).
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
- E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
Appl. Phys. Lett.
- N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–485 (1970).
Chem. Phys. Lett.
- A. P. Shkurinov, N. I. Koroteev, G. Jonusauskas, and C. Rulliere, “Subpicosecond anisotropic CARS studies of vibrational mode-selective photoexcitation and relaxation of trans-stilbene: first few picoseconds,” Chem. Phys. Lett. 223, 573–580 (1994).
J. Mod. Opt.
- R. L. Nelson and R. W. Boyd, “Enhanced third-order nonlinear optical response of photonic bandgap materials,” J. Mod. Opt. 46, 1061–1069 (1999).
J. Opt. Soc. Am.
JETP Lett.
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant third harmonic in porous silicon photonic crystals and microcavities,” JETP Lett. 75, 15–19 (2002).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
Opt. Commun.
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
Opt. Lett.
- G. I. Stegeman, R. Fortenberry, C. Karaguleff, R. Moshrefzadeh, W. M. Hetherington III, N. E. van Wyck, and J. E. Sipe, “Coherent anti-Stokes Raman scattering in thin-film dielectric waveguides,” Opt. Lett. 8, 295–297 (1983).
- A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “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).
Phys. Rev.
- 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).
- L. G. Parratt, “Surface studies of solids by total reflection of x-rays,” Phys. Rev. 95, 359–369 (1954).
Phys. Rev. E
- 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, 016609–1-9 (2001).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Compression of femtosecond laser pulses in thin one-dimensional photonic crystals,” Phys. Rev. E 63, 016602–1-9 (2001).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
Phys. Rev. Lett.
- 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).
- V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998).
- S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
- E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
- A. Fainstein and B. Jusserand, “Raman scattering enhancement by optical confinement in a semiconductor planar microcavity,” Phys. Rev. Lett. 75, 3764–3767 (1995).
Pure Appl. Opt.
- I. S. Fogel, J. M. Bendickson, M. D. Tocci, M. J. Bloemer, M. Scalora, C. M. Bowden, and J. P. Dowling, “Spontaneous emission and nonlinear effects in photonic bandgap materials,” Pure Appl. Opt. 7, 393–407 (1998).
Sov. Phys. JETP
- S. M. Rytov, “Electromagnetic properties of finite media,” Sov. Phys. JETP 2, 466–477 (1956).
Other
- K. H. Hellwege, ed., Crystal Structure Data of Inorganic Compounds, Vol. 7 of Landolt–Bornstein Numerical Data and Functional Relationships in Science and Technology, New Series. Groupe III: Crystal and Solid State Physics (Springer-Verlag, Berlin, 1973), part a, p. 13.
- N. Bloembergen, Nonlinear Optics (Benjamin, New York, 1965).
- A. Yariv and P. Yeh, Optical Waves in Crystals. Propagation and Control of Laser Radiation (Wiley, New York, 1984).
2002, Dolgova, JETP Lett.
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant third harmonic in porous silicon photonic crystals and microcavities,” JETP Lett. 75, 15–19 (2002).
- A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, E. V. Petrov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Enhancement of sum frequency generation near the photonic band gap edge under the quasi-phase matching conditions,” Phys. Rev. E 63, 046609–1-10 (2001).
- T. V. Dolgova, A. I. Maidykovskii, M. G. Martemyanov, G. Marovskii, G. Mattei, D. Schumacher, V. A. Yakovlev, A. A. Fedyanin, and O. A. Aktsipetrov, “Giant second harmonic in microcavities based on porous silicon photonic crystals,” JETP Lett. 73, 6–9 (2001).
- A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Masselin, and G. Mouret, “Compression of femtosecond laser pulses in thin one-dimensional photonic crystals,” Phys. Rev. E 63, 016602–1-9 (2001).
- 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, 016609–1-9 (2001).
- 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).
1999, Nelson, J. Mod. Opt.
- R. L. Nelson and R. W. Boyd, “Enhanced third-order nonlinear optical response of photonic bandgap materials,” J. Mod. Opt. 46, 1061–1069 (1999).
- M. Centini, C. Sibilia, M. Scalora, G. D’Aguanno, M. Berto-lotti, M. J. Bloemer, C. M. Bowden, and I. Nefedov, “Disper-sive properties of finite, one-dimensional photonic band gap structures: applications to nonlinear quadratic interactions,” Phys. Rev. E 60, 4891–4898 (1999).
- I. S. Fogel, J. M. Bendickson, M. D. Tocci, M. J. Bloemer, M. Scalora, C. M. Bowden, and J. P. Dowling, “Spontaneous emission and nonlinear effects in photonic bandgap materials,” Pure Appl. Opt. 7, 393–407 (1998).
- V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998).
- A. V. Balakin, D. Boucher, E. Fertein, P. Masselin, A. V. Pakulev, A. Yu. Resniansky, A. P. Shkurinov, and N. I. Koroteev, “Experimental observation of the interference of three- and five-wave mixing processes into the signal of second harmonic generation in bacteriorhodopsine solution,” Opt. Commun. 141, 343–352 (1997).
- A. Mekis, J. C. Chen, I. Kurland, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787–3790 (1996).
- M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. J. Bloemer, M. D. Tocci, C. M. Bowden, H. S. Ledbetter, J. M. Bendickson, J. P. Dowling, and R. P. Leavitt, “Ultrashort pulse propagation at the photonic band edge: large tunable group delay with minimal distortion and loss,” Phys. Rev. E 54, R1078–R1081 (1996).
- A. Fainstein and B. Jusserand, “Raman scattering enhancement by optical confinement in a semiconductor planar microcavity,” Phys. Rev. Lett. 75, 3764–3767 (1995).
- A. P. Shkurinov, N. I. Koroteev, G. Jonusauskas, and C. Rulliere, “Subpicosecond anisotropic CARS studies of vibrational mode-selective photoexcitation and relaxation of trans-stilbene: first few picoseconds,” Chem. Phys. Lett. 223, 573–580 (1994).
- S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987).
- E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987).
1970, Bloembergen, Appl. Phys. Lett.
- N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–485 (1970).
- 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).
1956, Rytov, Sov. Phys. JETP
- S. M. Rytov, “Electromagnetic properties of finite media,” Sov. Phys. JETP 2, 466–477 (1956).
- L. G. Parratt, “Surface studies of solids by total reflection of x-rays,” Phys. Rev. 95, 359–369 (1954).
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