Optical resonators and dynamic maps

Wilson, Mario; Aboites, Vicente

doi:10.1117/12.903264

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2021

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“…In the present work, the dynamical behavior of a beam that spatially behaves according to a Van der Pol map, here called a Van der Pol beam, within a ring phase-conjugated cavity is modeled. As shown, the behavior of a beam may be obtained by making an arbitrary well-defined chaotic map [10,11,12]. Particularly, the Henón [14], Bogdanov [15], Ikeda [16], Duffing [17,18], Standard [19] and Tinkerbell maps [20,21] were employed, among others.…”

Section: Introductionmentioning

confidence: 99%

Laser cavity with a Van der Pol dynamics

et al. 2021

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In this article, a beam within a ring phase conjugated laser is described by means of a Van der Pol bidimensional dynamic map using an ABCD matrix approach. Explicit expressions for the intracavity chaos-generating matrix elements were obtained; furthermore, computer calculations for different values of Van der Pol map’s parameters were made. The rich dynamic behavior displays periodicity when the parameter ¹ (which determines the non-inearity term) takes values around zero. These results were observed in phase diagrams and in diagrams of the optical thickness of the intracavity element.

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