Nonlinear dynamics of a laser resonator

Dignowity, D; Montelongo, Yunuen; Romero, S.

doi:10.1088/1742-6596/23/1/012

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2013

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“…Most natural systems, whether optical, chemical, electronic or even social, can exhibit chaotic behavior [1][2][3][4]. Historically, scientists have been more interested in the temporal dynamics of these systems [5][6][7], leaving spatial dynamics out of the spotlight. This work shows one way in which light beam spatial dynamics can be modeled according to a Duffing map when a controller device is introduced in a laser resonator.…”

Section: Introductionmentioning

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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