Dissipative finite degrees of freedom dynamical system and description of optical systems with saturable amplification, saturable losses, and filtering

Ivan M. Uzunov

doi:10.1117/12.853425

11 November 2009 Dissipative finite degrees of freedom dynamical system and description of optical systems with saturable amplification, saturable losses, and filtering

Ivan M. Uzunov

Author Affiliations +

Proceedings Volume 7501, International Conference on Ultrafast and Nonlinear Optics 2009; 75010S (2009) https://doi.org/10.1117/12.853425
Event: Ultrafast Nonlinear Optics 2009, 2009, Bourgas, Bulgaria

Abstract

Description of optical system with saturable amplification, saturable losses and filtering^9-10 (see also^11-12) is studied. The aim of this work is to derive the system of ode's, that extends the earlier one^1-2, including additionally the temporal dependences of the saturated gain and losses. First, this extended system is applied to the case of fast changes in the amplification and losses^7-8. Regarding the dissipative solitons, earlier results^7-8 have been confirmed. In addition, nonlinear fixed points have been also studied and as result fronts were identified. Next, the extended system is applied to the case of temporal dependent amplification and losses^9-10. Linear and nonlinear fixed points of this system have been calculated and their stability identified. Typical solutions discussed earlier⁹ have been found. Fronts have been also revealed. Phase space interpretation of obtained coherent structures is given.

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Ivan M. Uzunov "Dissipative finite degrees of freedom dynamical system and description of optical systems with saturable amplification, saturable losses, and filtering", Proc. SPIE 7501, International Conference on Ultrafast and Nonlinear Optics 2009, 75010S (11 November 2009); https://doi.org/10.1117/12.853425

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