Solitons and chaos in a ring optical cavity by numerical simulation

Paul E. Sterian; V. Radulescu; Mihai C. Piscureanu; Maria-Ana Popovici; C. Dordia

doi:10.1117/12.425129

9 April 2001 Solitons and chaos in a ring optical cavity by numerical simulation

Paul E. Sterian, V. Radulescu, Mihai C. Piscureanu, Maria-Ana Popovici, C. Dordia

Proceedings Volume 4397, 11th International School on Quantum Electronics: Laser Physics and Applications; (2001) https://doi.org/10.1117/12.425129
Event: 11th International School on Quantum Electronics: Laser Physics and Applications, 2000, Varna, Bulgaria

Abstract

It is well known that the nonlinear Schrodinger equation (GNLSE) has bistable soliton -- like solutions for a nonlinear form of the functions f(E²). Such kind of solitary bistable waves doesn't appear in the case of the Kerr -- like nonlinearities of the medium. The stability of these solitary bistable waves was later on studied by Enns et al., who have established, by numerical simulations, the soliton- like nature of these solutions for a certain category of functions f(E²). Our numerical simulations, based on similar mathematical models are presented in this work. By comparing our results to those obtained by Enns, Rangnekar and Avity, as well as to Ikeda's results, who have used a similar model, we have obtained results which are in good agreement with theirs, for small values of A. For larger values of A, the system doesn't return to period 1, but continues to have a chaotic behavior. Such kind of bistable soliton solutions for the GNLSE equation is very important for several applications, such as: optical fiber communications, optical switching, bistable optical devices, etc.

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Paul E. Sterian, V. Radulescu, Mihai C. Piscureanu, Maria-Ana Popovici, and C. Dordia "Solitons and chaos in a ring optical cavity by numerical simulation", Proc. SPIE 4397, 11th International School on Quantum Electronics: Laser Physics and Applications, (9 April 2001); https://doi.org/10.1117/12.425129

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KEYWORDS

Solitons

Numerical simulations

Chaos

Mathematical modeling

Optical resonators

Optical switching

Fiber optic communications

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