Spatial polarization instabilities due to transverse effects in nonlinear guided-wave systems

Journal of the Optical Society of America B: Optical Physics

Volumn 7, Issue 7, 1990, Pages 1268-1280

  Hayata, K ^a   Misawa, A ^a   Koshiba, M ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343416765     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.7.001268     Document Type: Article

References (54)

1. R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds., Optical Instabilities (Cambridge U. Press, Cambridge, 1986).
2. N. B. Abraham, F. T. Arecchi, and L. A. Lugiato, eds., Instabilities and Chaos in Quantum Optics II (Plenum, New York, 1988).
3. G. I. Stegeman, E. M. Wright, N. Finlayson, R. Zanori, and C. T. Seaton, “Third order nonlinear integrated optics,” IEEE J. Lightwave Technol. 6, 953-970 (1988).
4. Y. Silberberg, “Photonic switching devices,” Opt. News 15(2), 7-12 (1989).
5. K. Ikeda, “Multiple-valued stationary state and its instability of the transmitted light by a ring cavity system,” Opt. Commun. 30, 257-261 (1979).
6. K. Ikeda, H. Daido, and O. Akimoto, “Optical turbulence: chaotic behavior of transmitted light from a ring cavity,” Phys. Rev. Lett. 45, 709-712 (1980).
7. K. Ikeda and O. Akimoto, “Instability leading to periodic and chaotic self-pulsations in a bistable optical cavity,” Phys. Rev. Lett. 48, 617-620 (1982).
8. H. G. Winful, “Self-induced polarization changes in biréfringent optical fibers,” Appl. Phys. Lett. 47, 213-215 (1985).
9. H. G. Winful, “Polarization instabilities in biréfringent nonlinear media: application to fiber-optic devices,” Opt. Lett. 11, 33-35 (1986).
10. B. Daino, G. Gregori, and S. Wabnitz, “New all-optical devices based on third-order nonlinearity of biréfringent fibers,” Opt. Lett. 11, 42-44 (1986).
11. A. Vatarescu, “Intensity discrimination through nonlinear power coupling in biréfringent fibers,” Appl. Phys. Lett. 49, 61-63 (1986).
12. S. Trillo, S. Wabnitz, R. H. Stolen, G. Assanto, C. T. Seaton, and G. I. Stegeman, “Experimental observations of polarization instability in a biréfringent optical fiber,” Appl. Phys. Lett. 49, 1224-1226 (1986).
13. S. Wabnitz, “Spatial chaos in the polarization for a biréfringent optical fiber with periodic coupling,” Phys. Rev. Lett. 58, 1415-1418 (1987).
14. A. Mecozzi, S. Trillo, S. Wabnitz, and B. Daino, ‘All-optical switching and intensity discrimination by polarization instability in periodically twisted fiber filters,” Opt. Lett. 12, 275-277 (1987).
15. E. Caglioti, S. Trillo, and S. Wabnitz, “Stochastic polarization instability: limitation to optical switching using fibers with modulated birefringence,” Opt. Lett. 12, 1044-1046 (1987).
16. Y. Silberberg and I. Bar-Joseph, “Instabilities, self-oscillation, and chaos in a simple nonlinear optical interaction,” Phys. Rev. Lett. 48, 1541-1543 (1982).
17. Y. Silberberg and I. Bar-Joseph, “Optical instabilities in a nonlinear Kerr medium,” J. Opt. Soc. Am. B 1, 662-670 (1984).
18. J. Yumoto and K. Otsuka, “Frustrated optical instability: self-induced periodic and chaotic spatial distribution of polarization in nonlinear optical media,” Phys. Rev. Lett. 54, 1806-1809 (1985).
19. A. E. Kaplan and C. T. Law, “Isolas in four-wave mixing optical bistability,” IEEE J. Quantum Electron. QE-21, 1529-1537 (1985).
20. A. L. Gaeta, R. W. Boyd, J. R. Ackerhalt, and P. W Milonni, “Instabilities and chaos in the polarizations of counterpropa-gating light fields,” Phys. Rev. Lett. 58, 2432-2435 (1987).
21. C. T. Law and A. E. Kaplan, “Dispersion-related multimode instabilities and self-sustained oscillations in nonlinear coun-terpropagating waves,” Opt. Lett. 14, 734-736 (1989).
22. A. E. Kaplan, “Multistable self-trapping of light and multistable soliton pulse propagation,” IEEE J. Quantum Electron. QE-21, 1538-1543 (1985).
23. K. J. Blow, N. J. Doran, and D. Wood, “Polarization instabilities for solitons in biréfringent fibers,” Opt. Lett. 12, 202-204 (1987).
24. R. H. Enns and S. S. Rangnekar, “Bistable solitons and optical switching,” IEEE J. Quantum Electron. QE-23, 1199-1204 (1987).
25. A. D. Boardman and G. S. Cooper, “Power-dependent polarization of optical pulses,” J. Opt. Soc. Am. B 5, 403-418 (1988).
26. S. Trillo and S. Wabnitz, “Ultrashort pulse train generation through induced modulational polarization instability in a biréfringent Kerr-like medium,” J. Opt. Soc. Am. B 6, 238249 (1989).
27. S. Trillo, S. Wabnitz, and G. I. Stegeman, “Nonlinear propagation and self-switching of ultrashort optical pulses in fiber nonlinear directional couplers: the normal dispersion regime,” IEEE J. Quantum Electron. 25, 1907-1916 (1989).
28. J. V. Moloney, M. R. Belie, and H. M. Gibbs, “Calculation of transverse effects in optical bistability using fast Fourier transform techniques,” Opt. Commun. 41, 379-382 (1982).
29. J. V. Moloney, “Self-focusing-induced optical turbulence,” Phys. Rev. Lett. 53, 556-559 (1984).
30. C. Flytzanis, “Instabilities and chaos in nonlinear optical beam interactions,” in Nonlinear Optics: Materials and Devices, C. Flytzanis and J. L. Oudar, eds. (Springer-Verlag, Berlin, 1986), pp. 231-248.
31. K. A. Shore, “Static and dynamic bifurcations in semiconductor lasers for device applications,” Opt. Quantum Electron. 19, S113-S119 (1987).
32. K. Hayata and M. Koshiba, “Symmetry breaking instabilities and bifurcation phenomena in dielectric slab waveguides containing saturable nonlinear media,” in Second Optoelectronic Conference Technical Digest (Institute of Electronics, Information, and Communication Engineers, Tokyo, 1988), pp. 224-225.
33. B. D. Robert and J. E. Sipe, “Transverse instabilities in a thin nonlinear slab,” Phys. Rev. A 38, 5217-5226 (1988).
34. K. Hayata and M. Koshiba, “Self-focusing instability and chaotic behavior of nonlinear optical waves guided by dielectric slab structures,” Opt. Lett. 13, 1041-1043 (1988).
35. W. J. Firth and C. Paré, “Transverse modulational instabilities for counterpropagating beams in Kerr media,” Opt. Lett. 13, 1096-1098 (1988).
36. P. D. Maker, R. W. Terhune, and C. M. Savage, “Intensity-dependent changes in the refractive index of liquids,” Phys. Rev. Lett. 12, 507-509 (1964).
37. P. D. Maker and R. W Terhune, “Study of optical effects due to an induced polarization third order in the electric field strength,” Phys. Rev. 137, A801-818 (1965).
38. T. A. B. Kennedy and S. Wabnitz, “Quantum propagation: squeezing via modulational polarization instabilities in a biréfringent nonlinear medium,” Phys. Rev. A 38, 563-566 (1988).
39. A. Misawa, K. Hayata, and M. Koshiba, “Self-induced Cerenkov radiation and polarization instabilities of the elliptically-polarized light propagating in an intensity-dependent nonlinear optical waveguide structure,” in Autumn National Convention Record (Institute of Electronics, Information, and Communication Engineers, Tokyo, 1989), pp. SC-5-SC-8.
40. K. Hayata, A. Misawa, and M. Koshiba, “Split-step finite-element method applied to nonlinear integrated optics,” J. Opt. Soc. Am. B 7, 1268-1280 (1990).
41. K. Hayata and M. Koshiba, “Numerical simulation of guided-wave SHG light sources utilising Cerenkov radiation scheme,” Electron. Lett. 25, 376-378 (1989).
42. K. Hayata, A. Misawa, and M. Koshiba, “Nonlinear beam propagation in tapered waveguides,” Electron. Lett. 25, 661-662 (1989).
43. K. Hayata, A. Misawa, and M. Koshiba, “Nonstationary behavior of nonlinearly coupled TE-TM waves propagating in dielectric slab structures,” in Seventh International Conference on Integrated Optics and Optical Fiber Communication Technical Digest (Institute of Electronics, Information, and Communication Engineers, Tokyo, 1989), pp. 20A1-20A5.
44. K. Hayata, A. Misawa, and M. Koshiba, “Nonstationary simulation of nonlinearly coupled TE-TM waves propagating down dielectric slab structures by the step-by-step finite-element method,” Opt. Lett. 15, 24-26 (1990).
45. M. Eguchi, K. Hayata, and M. Koshiba, ‘Analysis of soliton pulse propagation in an optical fiber using the finite-element method,” Trans. Inst. Electron. Inform. Commun. Eng. J72-C-I, 329-337 (1989).
46. M. Eguchi, K. Hayata, and M. Koshiba, ‘Analysis of soliton pulse propagation in a biréfringent optical fiber using the finite-element method,” Trans. Inst. Electron. Inform. Commun. Eng. J73-C-I, 113-120 (1990).
47. P. E. Lagasse and R. Baets, ‘Application of propagating beam methods to electromagnetic and acoustic wave propagation problems,” Radio Sci. 22, 1225-1233 (1987), and references therein.
48. K. Hayata, M. Nagai, and M. Koshiha, “Finite-element formalism for nonlinear slab-guided waves,” IEEE Trans. Microwave Theory Tech. 36, 1207-1215 (1988).
49. L. Leine, C. Wächter, U. Langbein, and F. Lederer, “Evolution of nonlinear guided optical fields down a dielectric film with a nonlinear cladding,” J. Opt. Soc. Am. B 5, 547-558 (1988).
50. G. I. Stegeman and R. H. Stolen, “Waveguides and fibers for nonlinear optics,” J. Opt. Soc. Am. B 6, 652-662 (1989).
51. E. M. Wright, G. I. Stegeman, C. T. Seaton, J. V Moloney, and A. D. Boardman, “Multisoliton emission from a nonlinear waveguide,” Phys. Rev. A 34, 4442-4444 (1986).
52. M. A. Gubbels, E. M. Wright, G. I. Stegman, C. T. Seaton, and J. V Moloney, “Numerical study of soliton emission from a nonlinear waveguide,” J. Opt. Soc. Am. B 4, 1837-1842 (1987).
53. D. R. Heatley, E. M. Wright, and G. I. Stegeman, “Soliton coupler,” Appl. Phys. Lett. 53, 172-174 (1988).
54. M. V Tratnik and J. E. Sipe, “Nonlinear polarization dynamics. I. The single-pulse equations,” Phys. Rev. A 35, 2965-2975 (1987).