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Proceedings Paper

Dissipative finite degrees of freedom dynamical system and description of optical systems with saturable amplification, saturable losses, and filtering
Author(s): Ivan M. Uzunov
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Paper Abstract

Description of optical system with saturable amplification, saturable losses and filtering9-10 (see also11-12) is studied. The aim of this work is to derive the system of ode's, that extends the earlier one1-2, 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 losses7-8. Regarding the dissipative solitons, earlier results7-8 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 losses9-10. 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.

Paper Details

Date Published: 11 November 2009
PDF: 8 pages
Proc. SPIE 7501, International Conference on Ultrafast and Nonlinear Optics 2009, 75010S (11 November 2009); doi: 10.1117/12.853425
Show Author Affiliations
Ivan M. Uzunov, Technical Univ. Sofia (Bulgaria)

Published in SPIE Proceedings Vol. 7501:
International Conference on Ultrafast and Nonlinear Optics 2009
Solomon M. Saltiel; Alexander A. Dreischuh; Ivan P. Christov, Editor(s)

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