2 January 1998 Stability of fiber optic solitons
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Proceedings Volume 3211, International Conference on Fiber Optics and Photonics: Selected Papers from Photonics India '96; (1998) https://doi.org/10.1117/12.345532
Event: International Conference on Fiber Optics and Photonics: Selected Papers from Photonics India '96, 1996, Madras, India
Abstract
The stability of fiber-optic solitons is studied by Lyapunov’s direct method. The necessary and sufficient conditions for the stability of the fundamental non-nodal solitons, under the condition that the energy (power) of the soliton is conserved, are established for arbitrary nonlinearity in the model equation. They are then used to determine the stability domains of solitons in the model with saturating nonlinearity. For the last couple of decades optical solitons in fibers have attracted much attention due to their practical utility in various nonlinear guided wave devices [1-3]. It is needless to say that the stability of these structures, including the bistable solitons [4] and light bullets, is of immense importance in connection with their practical applications in all-optical communication systems, switches etc. In the given paper we apply the direct Lyapunov method for the determination of general criteria for the stability of the fiber-optic solitons.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Arun Kumar, "Stability of fiber optic solitons", Proc. SPIE 3211, International Conference on Fiber Optics and Photonics: Selected Papers from Photonics India '96, (2 January 1998); doi: 10.1117/12.345532; https://doi.org/10.1117/12.345532
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