Maps and phase conjugated ring resonators dynamics

V. Aboites

doi:10.1117/12.2598468

1 August 2021 Maps and phase conjugated ring resonators dynamics

V. Aboites

Proceedings Volume 11830, Infrared Remote Sensing and Instrumentation XXIX; 118300D (2021) https://doi.org/10.1117/12.2598468
Event: SPIE Optical Engineering + Applications, 2021, San Diego, California, United States

Abstract

In this article an introduction to the dynamical behavior of a beam within a ring phase-conjugated optical resonator is presented and modeled using two-dimensional iterative maps. Four well known iterative maps are described: Duffing, Tinkerbell, Hénon, and Standard and are applied to the description of optical resonators. It is explicitly shown how the difference equations of these maps can be used to describe the dynamic behavior of what we call Tinkerbell, Duffing, Hénon, Standard and Ikeda beams i.e. beams that behave according to these maps. The matrix of a map-generating device is found in terms of the specific map parameters, the state variables and the resonator parameters for each of the four named maps.

Citation Download Citation

V. Aboites "Maps and phase conjugated ring resonators dynamics", Proc. SPIE 11830, Infrared Remote Sensing and Instrumentation XXIX, 118300D (1 August 2021); https://doi.org/10.1117/12.2598468

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