Resonator configuration dependent nonlinear dynamics with application to Kerr-lens mode-locked lasers

Wen Feng Hsieh, Ming Dar Wei, Hsiao Hua Wu

Research output: Contribution to journalConference articlepeer-review


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±√2)/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.

Original languageEnglish
Pages (from-to)366-367
Number of pages2
JournalProceedings of SPIE - The International Society for Optical Engineering
Publication statusPublished - 1999 Jan 1
EventProceedings of the 1999 18th Congress of the International Commission for Optics (ICO XVIII): Optics for the Next Millennium - San Francisco, CA, USA
Duration: 1999 Aug 21999 Aug 6

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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