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Proceedings Paper

Resonator-configuration-dependent nonlinear dynamics with application to Kerr-lens mode-locked lasers
Author(s): Wen-Feng Hsieh; Ming-Dar Wei; Hsiao-Hua Wu
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Paper Abstract

The nonlinear dynamics of the Gaussian beam propagation in resonator was studied by constructing the iterative map of q-parameter. From the Greene's residue theorem, there are specific configurations sensitive to nonlinear effect existing in the geometrically stable region. By applying to Kerr-lens mode-locking (KLM) resonators, we found that multiple solution, period doubling, period tripling and period quadrupling can occur at the configurations with product of cavity G-parameters equal to 0, 1/2, 1/4 (or 3/4) and (2 +/- yields2)/4, respectively. Moreover, the systems will result in classical chaos if further increasing the nonlinear effect. We will also report appearance of unexpected transverse beam profiles and shrinkage of beam waist causes to lower laser threshold in an end-pumped Nd:YVO4 laser and chaotic behavior in the KLM laser around these critical resonator configurations.

Paper Details

Date Published: 19 July 1999
PDF: 2 pages
Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); doi: 10.1117/12.354789
Show Author Affiliations
Wen-Feng Hsieh, National Chiao-Tung Univ. (Taiwan)
Ming-Dar Wei, National Chiao-Tung Univ. (Taiwan)
Hsiao-Hua Wu, Tunghai Univ. (Taiwan)

Published in SPIE Proceedings Vol. 3749:
18th Congress of the International Commission for Optics
Alexander J. Glass; Joseph W. Goodman; Milton Chang; Arthur H. Guenther; Toshimitsu Asakura, Editor(s)

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