The stability of nonlinear TE, guided waves revisited

A. C. P. Zabeu

Center for Telecommunication Studies Pontifical Catholic University of Rio de Janeiro Rua Marques de Sao Vicente, 225 22453 Rio de Janeiro — RJ Brazil

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J. R. Souza,

J. R. Souza

Center for Telecommunication Studies Pontifical Catholic University of Rio de Janeiro Rua Marques de Sao Vicente, 225 22453 Rio de Janeiro — RJ Brazil

Search for more papers by this author

A. C. P. Zabeu,

A. C. P. Zabeu

Center for Telecommunication Studies Pontifical Catholic University of Rio de Janeiro Rua Marques de Sao Vicente, 225 22453 Rio de Janeiro — RJ Brazil

Search for more papers by this author

J. R. Souza,

J. R. Souza

Center for Telecommunication Studies Pontifical Catholic University of Rio de Janeiro Rua Marques de Sao Vicente, 225 22453 Rio de Janeiro — RJ Brazil

Search for more papers by this author

First published: August 1990

https://doi.org/10.1002/mop.4650030810

Citations: 2

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Abstract

The propagation of nonlinear TE, guided waves is simulated numerically using a new algorithm based on variational and finite-difference methods, and their stability properties are investigated. The results indicate that portions of the solutions are not only unstable but may follow a route to chaos through period doubling as the guided-wave power increases.

Reference

1 C. T. Seaton, Xu Mai, G. I. Stegeman, and H. G. Winful, “Nonlinear Guided Wave Applications,” Optical Engineering, Vol. 24, 1985, pp. 593–599.
10.1117/12.7973535
CAS Web of Science® Google Scholar
2 C. K. R. T. Jones and J. V. Moloney, “Instability of Standing Waves in Nonlinear Optical Waveguides,” Phys. Lett. A, Vol. 117, 1986, pp. 175–180.
10.1016/0375-9601(86)90734-6
CAS Web of Science® Google Scholar
3 J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Stability of Nonlinear Stationary Waves Guided by a Thin Film Bounded by Nonlinear Media,” Appl. Phys. Lett., Vol. 48, 1986, pp. 826–828.
10.1063/1.96680
CAS Web of Science® Google Scholar
4 J. V. Moloney, J. Ariyasu, C. T. Seaton, and G. I. Stegeman, “Numerical Evidence for Nonstationary, Nonlinear, Slab-Guided Waves,” Opt. Lett., Vol. 11, 1986, pp. 315–317.
10.1364/OL.11.000315
CAS PubMed Web of Science® Google Scholar
5 L. Leine, Ch. Wachter, U. Langbein, and F. Lederer, “Propagation Phenomena of Nonlinear Film-Guided Waves: A Numerical Analysis,” Opt. Lett., Vol. 11, 1986, pp. 590–592.
10.1364/OL.11.000590
CAS PubMed Web of Science® Google Scholar
6 L. Leine, Ch. Wachter, U. Langbein, and F. Lederer, “Propagation Phenomena of Nonlinear Film-Guided Waves in a Configuration with Material Losses: A Numerical Analysis,” Opt. Lett., Vol. 12, 1987, pp. 747–749.
10.1364/OL.12.000747
CAS PubMed Web of Science® Google Scholar
7 J. Ariyasu, C. T. Seaton, G. I. Stegeman, and J. V. Moloney, “New Theoretical Developments in Nonlinear Guided Waves: Stability of TE₁ Branches,” IEEE J. Quantum Electron., Vol. QE-22, 1986, pp. 984–987.
10.1109/JQE.1986.1073041
CAS Web of Science® Google Scholar
8 K. Hayata and M. Koshiba, “Self-Focusing Instability and Chaotic Behavior of Nonlinear Optical Waves Guided by Dielectric Slab Structures,” Opt. Lett., Vol. 13, 1988, pp. 1041–1043.
10.1364/OL.13.001041
CAS PubMed Web of Science® Google Scholar
9 C. T. Seaton, J. Valera, R. L. Shoemaker, G. I. Stegeman, J. Chilwell, and S. D. Smith, “Calculations of Nonlinear TE Waves Guided by Thin Dielectric Films Bounded by Nonlinear Media,” IEEE J. Quantum Electron., Vol. QE-21, 1985, pp. 774–783.
10.1109/JQE.1985.1072762
Web of Science® Google Scholar

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Volume3, Issue8

August 1990

Pages 298-302

The stability of nonlinear TE, guided waves revisited

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The stability of nonlinear TE, guided waves revisited

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