Spatial chaos in the polarization for a birefringent optical fiber with periodic coupling

S. Wabnitz

doi:10.1103/PhysRevLett.58.1415

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Spatial chaos in the polarization for a birefringent optical fiber with periodic coupling

S. Wabnitz

Fondazione Ugo Bordoni, 00144 Rome, Italy

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Phys. Rev. Lett. 58, 1415 – Published 6 April, 1987

DOI: https://doi.org/10.1103/PhysRevLett.58.1415

Abstract

Self-induced stochastic behavior for the evolution of light along a periodically perturbed two-mode nonlinear optical waveguide is predicted. Implications for recently demonstrated all-optical switching using birefringent fibers are discussed.

References (22)

J. Yumoto and K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).
B. Daino, G. Gregori and S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).
G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986), and in Optical Bistability III, edited by H. M. Gibbs, P. Mandel, N. Peyghambarian, and S. D. Smith (Springer-Verlag, Berlin, 1986), p. 359.
H. G. Winful, Opt. Lett. 11, 33 (1986).
B. Daino, G. Gregori and S. Wabnitz, Opt. Lett. 11, 42 (1986).
S. Wabnitz and G. Gregori, Opt. Commun. 59, 72 (1986).
F. Matera and S. Wabnitz, Opt. Lett. 11, 467 (1986).
S. Wabnitz, E. M. Wright, C. T. Seaton and G. I. Stegeman, Appl. Phys. Lett. 49, 838 (1986).
S. Trillo, S. Wabnitz, R. H. Stolen, G. Assanto, C. T. Seaton and G. I. Stegeman, Appl. Phys. Lett. 49, 1224 (1986).
K. Okamoto, Y. Sasaki and N. Shibata, IEEE J. Quantum Electron. 18, 1890 (1982).
S. C. Rashleigh and M. J. Marrone, IEEE J. Quantum Electron. 18, 1515 (1982).
R. H. Stolen and E. H. Turner, Appl. Opt. 19, 842 (1980).
R. C. Youngquist, J. L. Brooks and H. J. Shaw, Opt. Lett. 8, 656 (1983).
R. H. Stolen, A. Ashkin, W. Pleibel and J. M. Dziedzic, Opt. Lett. 9, 300 (1984).
S. C. Rashleigh, IEEE J. Lightwave Technol. 1, 312 (1983).
B. V. Chirikov, Phys. Rep. 52, 263 (1979).
A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1983).
L. E. Reichl and W. M. Zheng, Phys. Rev. A 29, 2186 (1984), and 30, 1068 (1984).
M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), 5th ed., Chap. 1.
Note that Eq. (2) also describes the classical dynamics of a single spin in a modulated magnetic field: See K. Nakamura, Y. Okazaki and A. R. Bishop, Phys. Rev. Lett. 57, 5 (1986).
The parameter $S_{3}$ == $I_{+}$ - $I_{-}$ , where $I_{+}$ ( $I_{-}$ ) is the fraction of power in the right- (left-) handed circular polarization, determines the ellipticity of the wave.
P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists (Springer-Verlag, Berlin, 1971), p. 303.

[c1] J. Yumoto and K. Otsuka, Phys. Rev. Lett. 54, 1806 (1985).

[c2] B. Daino, G. Gregori and S. Wabnitz, J. Appl. Phys. 58, 4512 (1985).

[c3] G. Gregori and S. Wabnitz, Phys. Rev. Lett. 56, 600 (1986), and in Optical Bistability III, edited by H. M. Gibbs, P. Mandel, N. Peyghambarian, and S. D. Smith (Springer-Verlag, Berlin, 1986), p. 359.

[c4] H. G. Winful, Opt. Lett. 11, 33 (1986).

[c5] B. Daino, G. Gregori and S. Wabnitz, Opt. Lett. 11, 42 (1986).

[c6] S. Wabnitz and G. Gregori, Opt. Commun. 59, 72 (1986).

[c7] F. Matera and S. Wabnitz, Opt. Lett. 11, 467 (1986).

[c8] S. Wabnitz, E. M. Wright, C. T. Seaton and G. I. Stegeman, Appl. Phys. Lett. 49, 838 (1986).

[c9] S. Trillo, S. Wabnitz, R. H. Stolen, G. Assanto, C. T. Seaton and G. I. Stegeman, Appl. Phys. Lett. 49, 1224 (1986).

[c10] K. Okamoto, Y. Sasaki and N. Shibata, IEEE J. Quantum Electron. 18, 1890 (1982).

[c11] S. C. Rashleigh and M. J. Marrone, IEEE J. Quantum Electron. 18, 1515 (1982).

[c12] R. H. Stolen and E. H. Turner, Appl. Opt. 19, 842 (1980).

[c13] R. C. Youngquist, J. L. Brooks and H. J. Shaw, Opt. Lett. 8, 656 (1983).

[c14] R. H. Stolen, A. Ashkin, W. Pleibel and J. M. Dziedzic, Opt. Lett. 9, 300 (1984).

[c15] S. C. Rashleigh, IEEE J. Lightwave Technol. 1, 312 (1983).

[c16] B. V. Chirikov, Phys. Rep. 52, 263 (1979).

[c17] A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, New York, 1983).

[c18] L. E. Reichl and W. M. Zheng, Phys. Rev. A 29, 2186 (1984), and 30, 1068 (1984).

[c19] M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975), 5th ed., Chap. 1.

[c20] Note that Eq. (2) also describes the classical dynamics of a single spin in a modulated magnetic field: See K. Nakamura, Y. Okazaki and A. R. Bishop, Phys. Rev. Lett. 57, 5 (1986).

[c21] The parameter $S_{3}$ == $I_{+}$ - $I_{-}$ , where $I_{+}$ ( $I_{-}$ ) is the fraction of power in the right- (left-) handed circular polarization, determines the ellipticity of the wave.

[c22] P. F. Byrd and M. D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists (Springer-Verlag, Berlin, 1971), p. 303.

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Spatial chaos in the polarization for a birefringent optical fiber with periodic coupling

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