19 July 1999 Resonator-configuration-dependent nonlinear dynamics with application to Kerr-lens mode-locked lasers
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Proceedings Volume 3749, 18th Congress of the International Commission for Optics; (1999) https://doi.org/10.1117/12.354789
Event: ICO XVIII 18th Congress of the International Commission for Optics, 1999, San Francisco, CA, United States
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.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Wen-Feng Hsieh, Ming-Dar Wei, Hsiao-Hua Wu, "Resonator-configuration-dependent nonlinear dynamics with application to Kerr-lens mode-locked lasers", Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); doi: 10.1117/12.354789; https://doi.org/10.1117/12.354789
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