Optical resonators and dynamic maps

Mario Wilson; Vicente Aboites

doi:10.1117/12.903264

2 November 2011 Optical resonators and dynamic maps

Mario Wilson, Vicente Aboites

Proceedings Volume 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World; 80116B (2011) https://doi.org/10.1117/12.903264
Event: International Commission for Optics (ICO 22), 2011, Puebla, Mexico

Abstract

In this article the dynamical behavior of a beam within a ring phase-conjugated resonator is modeled using two dimensional iterative maps. In particular it is explicitly shown how the difference equations of the Duffing and Tinkerbell maps can be used to describe the dynamic behavior of what we call Duffing and Tinkerbell beams i.e. beams that behave according to the Duffing and Tinkerbell maps. The matrix of a map generating device is found in terms of the maps parameters, the state variables and the resonator parameters. The mathematical characteristics of an optical device in an optical cavity are stated so that a chaotic map is obtained as the dynamics for the ray beams.

Citation Download Citation

Mario Wilson and Vicente Aboites "Optical resonators and dynamic maps", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80116B (2 November 2011); https://doi.org/10.1117/12.903264

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