Numerical investigations of cavity mode instabilities induced by a Gaussian gain medium

J. P. Watson; E. M. Wright; N. Peyghambarian

doi:10.1016/S0030-4018(99)00583-0

Numerical investigations of cavity mode instabilities induced by a Gaussian gain medium

J. P. Watson, E. M. Wright, N. Peyghambarian

Research output: Contribution to journal › Article › peer-review

Abstract

The variational equations of Firth are used to study instabilities of the Gaussian mode of a resonator containing a Gaussian gain medium. A series of symmetric two-mirror resonators were chosen for study. When the Rayleigh range of the bare cavity Gaussian mode becomes much greater than the cavity length, and the effective gain spot size drops below that of the bare cavity mode, regions of gain in which the cavity does not have a bound, stable modes appear. This is similar to the results obtained by Firth with a confocal cavity. The, results are compared to diffraction calculations for the one of the resonators. The comparison points out some intriguing areas of agreement, and suggest that it may be possible to observe the effects in a real system.

Original language	English (US)
Pages (from-to)	103-112
Number of pages	10
Journal	Optics Communications
Volume	172
Issue number	1
DOIs	https://doi.org/10.1016/S0030-4018(99)00583-0
State	Published - Dec 15 1999

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/S0030-4018(99)00583-0

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title = "Numerical investigations of cavity mode instabilities induced by a Gaussian gain medium",

abstract = "The variational equations of Firth are used to study instabilities of the Gaussian mode of a resonator containing a Gaussian gain medium. A series of symmetric two-mirror resonators were chosen for study. When the Rayleigh range of the bare cavity Gaussian mode becomes much greater than the cavity length, and the effective gain spot size drops below that of the bare cavity mode, regions of gain in which the cavity does not have a bound, stable modes appear. This is similar to the results obtained by Firth with a confocal cavity. The, results are compared to diffraction calculations for the one of the resonators. The comparison points out some intriguing areas of agreement, and suggest that it may be possible to observe the effects in a real system.",

author = "Watson, {J. P.} and Wright, {E. M.} and N. Peyghambarian",

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AU - Wright, E. M.

AU - Peyghambarian, N.

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AB - The variational equations of Firth are used to study instabilities of the Gaussian mode of a resonator containing a Gaussian gain medium. A series of symmetric two-mirror resonators were chosen for study. When the Rayleigh range of the bare cavity Gaussian mode becomes much greater than the cavity length, and the effective gain spot size drops below that of the bare cavity mode, regions of gain in which the cavity does not have a bound, stable modes appear. This is similar to the results obtained by Firth with a confocal cavity. The, results are compared to diffraction calculations for the one of the resonators. The comparison points out some intriguing areas of agreement, and suggest that it may be possible to observe the effects in a real system.

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Numerical investigations of cavity mode instabilities induced by a Gaussian gain medium

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