Dynamic maps in phase-conjugated optical resonators
| Autor: | Alexander N. Pisarchik, Alexander V. Kir'yanov, X. Gómez-Mont, Vicente Aboites |
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| Rok vydání: | 2010 |
| Předmět: |
Physics
State variable Geometrical optics business.industry Phase (waves) Duffing equation Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials law.invention Nonlinear Sciences::Chaotic Dynamics Duffing map Resonator Matrix (mathematics) Nonlinear Sciences::Adaptation and Self-Organizing Systems Optics law Optical cavity Physics::Accelerator Physics Electrical and Electronic Engineering Physical and Theoretical Chemistry business Nonlinear Sciences::Pattern Formation and Solitons |
| Zdroj: | Optics Communications. 283:3328-3333 |
| ISSN: | 0030-4018 |
| DOI: | 10.1016/j.optcom.2010.04.063 |
| Popis: | In this article the dynamical behavior of a beam within a ring-phase-conjugated resonator is modeled using two-dimensional iterative maps. In particular and as an example it is explicitly shown how the difference equations of the Duffing map can be used to describe the dynamic behavior of what we call Duffing beams i.e. beams that behave according to the Duffing map. The matrix of a Duffing map generating device is found in terms of the Duffing parameters, the state variables and the resonator parameters. To our knowledge this is the first time that the mathematical characteristics of an optical device in an optical cavity are stated so that a Duffing map is obtained as the dynamics for the ray beams. |
| Databáze: | OpenAIRE |
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