Characterization of chaos generated by bistable optical systems with a nonlinearity of the form sin[sup]2[/sup](x)

A. K. Ghosh; P. Verma

doi:10.1117/12.876311

21 February 2011 Characterization of chaos generated by bistable optical systems with a nonlinearity of the form sin²(x)

A. K. Ghosh, P. Verma

Author Affiliations +

Proceedings Volume 7923, Free-Space Laser Communication Technologies XXIII; 792309 (2011) https://doi.org/10.1117/12.876311
Event: SPIE LASE, 2011, San Francisco, California, United States

Abstract

Generation of chaos from nonlinear optical systems with an optical or electronic feedback has been studied for several years. Such chaotic signals have an important application in providing secure encryption in free-space optical communication systems. Lyapunov exponent is an important parameter for analysis of chaos generated by a nonlinear system. The Lyapunov exponent of a class of a nonlinear optical system showing a nonlinear transfer characteristics of the form sin²(x) is determined and calculated in this paper to understand the dependence of the chaotic response on the system parameters such as bias, feedback gain, input intensity and initial condition exciting the optical system. Analysis of chaos using Lyapunov exponent is consistent with bifurcation analysis and is useful in encrypting data signal.

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A. K. Ghosh and P. Verma "Characterization of chaos generated by bistable optical systems with a nonlinearity of the form sin²(x)", Proc. SPIE 7923, Free-Space Laser Communication Technologies XXIII, 792309 (21 February 2011); https://doi.org/10.1117/12.876311

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