Nonlinearity with saturation in the ring interferometer model: stability, bifurcation behaviour, attractor dimension

Pavel E. Denisov; Igor V. Izmailov; Alexandr V. Lyachin; Denis A. Shergin; Boris N. Poizner

doi:10.1117/12.633896

8 June 2005 Nonlinearity with saturation in the ring interferometer model: stability, bifurcation behaviour, attractor dimension

Pavel E. Denisov, Igor V. Izmailov, Alexandr V. Lyachin, Denis A. Shergin, Boris N. Poizner

Author Affiliations +

Proceedings Volume 5851, Fundamental Problems of Optoelectronics and Microelectronics II; (2005) https://doi.org/10.1117/12.633896
Event: Fundamental Problems of Optoelectronics and Microelectronics II, 2004, Khabrovsk, Russian Federation

Abstract

Nonlinear ring interferometer (NRI) is an open passive optical system. Occurence of various steady spatial structures nad dynamic chaos in cross-section of the laser beam propagating through the NRI feed-back circuit under certain conditions is possible. Therefore investigation of various NRI models is perspective with a view of their application in devices of the optical information processing and the hidden transmission of the information. The NRI can make element basis of the devices of the continual logic. Implemented numerical experiments are based on the model of processes in nonlinear ring interferometer with Kerr's nonlinearity in the context of optical cryptosystem development. Chaotic regimes area of Lyapunov's exponent's map portion was suggested to be the integral quantitative characteristic of the whole map. It was proposed to construct the distributions of certain type attractor's quantity depending on model's parameters. Influence of two-frequency input radiation spectrum on bifurcation behavior in the model of ring resonator (interferometer) with restriction of nonlinearity is studied. A bifurcation diagrams in various planes of model parameters are under construction and the degree of influence of these parameters to configuration of (un)steady states of the interferometer functioning is studied.

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Pavel E. Denisov, Igor V. Izmailov, Alexandr V. Lyachin, Denis A. Shergin, and Boris N. Poizner "Nonlinearity with saturation in the ring interferometer model: stability, bifurcation behaviour, attractor dimension", Proc. SPIE 5851, Fundamental Problems of Optoelectronics and Microelectronics II, (8 June 2005); https://doi.org/10.1117/12.633896

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KEYWORDS

Interferometers

Nonlinear optics

Process modeling

Mathematical modeling

Phase shifts

Feedback loops

Chaos

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