Coupled-mode equations for kerr media with periodically modulated linear and nonlinear coefficients

Journal of the Optical Society of America B: Optical Physics

Volumn 19, Issue 9, 2002, Pages 2282-2291

  Haus, Joseph W ^a   Soon, Boon Y ^a   Scalora, Michael ^b   Sibilia, Cocita ^c   Mel'nikov, Igor V ^d,e,f  

^a UNIVERSITY OF DAYTON   (United States)

^b U S ARMY SPACE AND MISSILE DEFENSE COMMAND   (United States)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

^d UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MORELOS   (Mexico)

^e PROKHOROV GENERAL PHYSICS INSTITUTE   (Russian Federation)

^f UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIELECTRIC FILMS; OPTICAL KERR EFFECT; OPTICAL SYSTEMS; WAVEGUIDES;

COUPLED-MODE EQUATIONS;

NONLINEAR OPTICS;

EID: 0141636558     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.19.002282     Document Type: Article

References (25)

1. M. Scalora, R. J. Flynn, S. B. Reinhardt, R. L. Fork, M. D. Tocci, M. J. Bloemer, 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. B 54, R1078-R1081 (1996).
2. A. V. Andreev, A. V. Balakin, I. A. Ozheredov, A. P. Shkurinov, P. Maselin, G. Mouret, and D. Boucher, "Compression of femtosecond laser pulses in thin one-dimensional photonic crystals," Phys. Rev. E 63, 016602 (2001).
3. A. V. Balakin, V. A. Bushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Maselin, "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).
4. 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).
5. L. Brzozowski and E. H. Sargent, "Nonlinear distributed-feedback structures as passive optical limiters," J. Opt. Soc. Am. B 17, 1360-1365 (2000).
6. D. E. Pelinovsky, L. Brzozowski, and E. H. Sargent, "Transmission regimes of periodic nonlinear optical structures," Phys. Rev. E 62, R4536-R4539 (2000).
7. M. Scalora, J. P. Dowling, M. J. Bloemer, and C. M. Bowden, "The photonic band edge optical diode," J. Appl. Phys. 76, 2023-2026 (1994).
8. B. J. Eggleton, C. M. de Sterke, R. E. Slusher, and J. E. Sipe, "Distributed feedback pulse generator1 based on a nonlinear fiber grating," Electron. Lett. 32, 2341-2342 (1996).
9. B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, "Nonlinear pulse propagation in Bragg gratings," J. Opt. Soc. Am. B 14, 2980-2993 (1997).
10. (2) interactions," Phys. Rev. E 84, 16609 (2001).
11. A. V. Tarasishin, S. A. Magnitskii, and A. M. Zheltikov, "Matching phase and group velocities in second-harmonic generation in finite one-dimensional photonic band-gap structures," Laser Phys. 11, 31-8 (2001).
12. A. V. Balakin, V. A. Bushuev, B. I. Mantsyzov, I. A. Ozheredov, E. V. Petrov, and A. P. Shkurinov, "Enhancement of sum frequency generation near the photonic band gap edge under quasiphase matching conditions," Phys. Rev. E 63, 046609 (2001).
13. D. Pezzetta, C. Sibilia, M. Bertolotti, J. W. Haus, M. Scalora, M. J. Bloemer, and C. M. Bowden, "Photonic bandgap structures in planar nonlinear waveguides: application to second-harmonic generation," J. Opt. Soc. Am. B 18, 1326-1333 (2001).
14. M. Centini, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, C. M. Bowden, and J. W. Haus, "Efficient nonlinear infrared parametric generation on one-dimensional photonic band gap structures," Opt. Commun. 189, 135-142 (2001).
15. W. Chen and D. L. Mills, "Gap solitons and the nonlinear optical response of superlattices," Phys. Rev. Lett. 58, 160-163 (1987).
16. C. M. de Sterke and J. E. Sipe, "Gap solitons," Prog. Opt. 33, 203-260 (1994).
17. S. Dutta-Gupta, "Nonlinear optics of stratified media," Prog. Opt. 38, 1-84 (1998).
18. G. Stegeman and R. H. Stolen, "Waveguides and fibers for nonlinear optics," J. Opt. Soc. Am. B 6, 652-662 (1989).
19. D. Mihalache, M. Bertolotti, and C. Sibilia, "Nonlinear wave propagation in planar structures," Prog. Opt., 27, 227-313 (1989).
20. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
21. A. G. Kalocsai and J. W. Haus, "Asymptotic wave-wave processes beyond cascading in quadratic nonlinear optical materials," Phys. Rev. E 62, 3166-3183 (1995).
22. J. W. Haus, R. Viswanathan, A. Kalocsai, J. Cole, M. Scalora, and J. Theimer, "Enhanced second-harmonic generation in weakly periodic media," Phys. Rev. A 57, 2120-2132 (1998).
23. M. Scalora and M. Crenshaw, "Beam propagation method that handles reflections," Opt. Commun. 108, 191-196 (1994).
24. J. W. Haus, B. Y. Soon, M. Scalora, M. J. Bloemer, C. M. Bowden, C. Sibilia, and A. Zheltikov, "Spatio-temporal instabilities for counter-propagating waves in periodic media," submitted to Opt. Express.
25. N. M. Lichinitser, C. J. McKinstrie, C. M. de Sterke, and G. P. Agrawal, "Spatiotemporal instabilities in nonlinear bulk media with Bragg gratings," J. Opt. Soc. Am, B 18, 45-54 (2001).