Dynamic maps in phase-conjugated optical resonators

Aboites, Vicente; Pisarchik, Alexander N.; Kir’yanov, Alexander V.; Gómez-Mont, Xavier

doi:10.1016/j.optcom.2010.04.063

Cited by 8 publications

(4 citation statements)

References 17 publications

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“…The advantage of using this formalism is that for any optical system, composed of several optical elements (including air/vacuum space), it is always possible to obtain the system's total matrix [A, B, C, D] by taking the matrix product of each one of the optical elements in the system. This means that the transformation a beam undergoes when passing through a complex optical system can be easily calculated from its many elements [12][13][14][15][16][17][18].…”

Section: Resonator Opticsmentioning

confidence: 99%

Duffing spatial dynamics induced in a double phase-conjugated resonator

Dignowity¹,

Wilson²,

Rangel-Fonseca³

et al. 2013

Laser Phys.

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This work presents a mathematical description of light beam behavior inside a double phase-conjugated resonator when an optical device capable of generating Duffing-like map dynamics is introduced in the cavity. It will be shown that the internal optical device may control the light spatial dynamics inside a ring resonator with double phase-conjugated mirrors. The resonator is constructed using one perfect plane mirror intercalated with two ideal phase-conjugated mirrors. The ABCD matrix formalism used to find the general iterative expressions describes the optical beam state after n round trips, showing paraxiality conservation along the entire process. The characteristics of the internal optical device are discussed and its transformation matrix is presented.

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Section: Resonator Opticsmentioning

confidence: 99%

Duffing spatial dynamics induced in a double phase-conjugated resonator

Dignowity¹,

Wilson²,

Rangel-Fonseca³

et al. 2013

Laser Phys.

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“…(12) to (15) Eq. (16). For any transfer matrix elements A and D describe the lateral magnification while C describe the focal length, whereas the device's optical thickness is given by B = L/n, where L is its length and n its refractive index.…”

Section: Tinkerbell Beamsmentioning

confidence: 99%

Optical resonators and dynamic maps

Wilson

Aboites

2011

SPIE Proceedings

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“…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. Here, for the first time to the best of our knowledge, a PC laser ring cavity is designed to produce Van del Pol beams within certain welldefined parameters.…”

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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Dynamic maps in phase-conjugated optical resonators

Cited by 8 publications

References 17 publications

Duffing spatial dynamics induced in a double phase-conjugated resonator

Duffing spatial dynamics induced in a double phase-conjugated resonator

Optical resonators and dynamic maps

Laser cavity with a Van der Pol dynamics

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