Bifurcation of fundamental Gaussian modes in Kerr-lens mode-locked lasers

Ming Dar Wei; Wen Feng Hsieh

doi:10.1016/S0030-4018(99)00331-4

Bifurcation of fundamental Gaussian modes in Kerr-lens mode-locked lasers

Ming Dar Wei, Wen Feng Hsieh

Department of Photonics

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

5 Citations (Scopus)

Abstract

We propose that more than one spatial fundamental Gaussian mode may occur in concentric and confocal resonators under persisting nonlinear effect. Extensively studying the influence of the resonator's parameters in a Kerr-lens mode-locked resonator, pitchfork bifurcation results in more symmetrical configurations, and saddle-node bifurcation appears as the symmetry being broken. From the properties of bifurcation, we suggest that the equal-arm and near-confocal resonator is suitable for the emergence of bistability in Kerr-lens mode-locked lasers.

Original language	English
Pages (from-to)	161-166
Number of pages	6
Journal	Optics Communications
Volume	168
Issue number	1
DOIs	https://doi.org/10.1016/S0030-4018(99)00331-4
Publication status	Published - 1999 Sept 1

All Science Journal Classification (ASJC) codes

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)00331-4

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title = "Bifurcation of fundamental Gaussian modes in Kerr-lens mode-locked lasers",

abstract = "We propose that more than one spatial fundamental Gaussian mode may occur in concentric and confocal resonators under persisting nonlinear effect. Extensively studying the influence of the resonator's parameters in a Kerr-lens mode-locked resonator, pitchfork bifurcation results in more symmetrical configurations, and saddle-node bifurcation appears as the symmetry being broken. From the properties of bifurcation, we suggest that the equal-arm and near-confocal resonator is suitable for the emergence of bistability in Kerr-lens mode-locked lasers.",

author = "Wei, {Ming Dar} and Hsieh, {Wen Feng}",

note = "Funding Information: The research was partially supported by the National Science Council of the Republic of China under grant NSC88-2112-M-009-034 and one of the authors, M.-D.W., would like to thank NSC for a Ph.D. fellowship.",

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AU - Wei, Ming Dar

AU - Hsieh, Wen Feng

N1 - Funding Information: The research was partially supported by the National Science Council of the Republic of China under grant NSC88-2112-M-009-034 and one of the authors, M.-D.W., would like to thank NSC for a Ph.D. fellowship.

PY - 1999/9/1

Y1 - 1999/9/1

N2 - We propose that more than one spatial fundamental Gaussian mode may occur in concentric and confocal resonators under persisting nonlinear effect. Extensively studying the influence of the resonator's parameters in a Kerr-lens mode-locked resonator, pitchfork bifurcation results in more symmetrical configurations, and saddle-node bifurcation appears as the symmetry being broken. From the properties of bifurcation, we suggest that the equal-arm and near-confocal resonator is suitable for the emergence of bistability in Kerr-lens mode-locked lasers.

AB - We propose that more than one spatial fundamental Gaussian mode may occur in concentric and confocal resonators under persisting nonlinear effect. Extensively studying the influence of the resonator's parameters in a Kerr-lens mode-locked resonator, pitchfork bifurcation results in more symmetrical configurations, and saddle-node bifurcation appears as the symmetry being broken. From the properties of bifurcation, we suggest that the equal-arm and near-confocal resonator is suitable for the emergence of bistability in Kerr-lens mode-locked lasers.

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JO - Optics Communications

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Bifurcation of fundamental Gaussian modes in Kerr-lens mode-locked lasers

Abstract

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