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Symmetry breaking and dynamical independence in a multimode laser

Viktorov1, Vladimirov, Mandel

  • 1Institute for Laser Physics, 199034 St. Petersburg, Russia.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
Summary

Asymmetric multimode lasers exhibit complex behaviors like clustering and grouping. These phenomena arise from unstable cycles within dynamically independent invariant planes, explaining observed laser dynamics.

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Area of Science:

  • Physics
  • Optics
  • Laser Physics

Background:

  • Multimode lasers exhibit complex dynamics due to asymmetry between orthogonal polarization modes.
  • Intracavity second harmonic generation (SHG) in solid-state lasers can lead to unique polarization-dependent behaviors.

Purpose of the Study:

  • To investigate the origins of dynamical independence, clustering, and grouping in a solid-state laser with intracavity SHG.
  • To elucidate the role of unstable cycles and invariant planes in explaining these observed multimode laser behaviors.

Main Methods:

  • Analysis of laser dynamics in a solid-state laser system incorporating intracavity second harmonic generation.
  • Identification and characterization of unstable limit cycles and their associated invariant planes.

Main Results:

  • Observed dynamical independence, clustering, and grouping effects in the multimode laser system.
  • Demonstrated that these behaviors originate from unstable cycles residing within dynamically independent invariant planes.
  • Showcased how itinerancy (sequential or random) of these unstable cycles explains the observed asymmetric effects.

Conclusions:

  • The study reveals that asymmetric behaviors in multimode lasers are fundamentally linked to the properties of unstable cycles within invariant planes.
  • Dynamical independence of these planes is a key factor enabling complex phenomena like clustering and grouping.
  • Understanding these dynamics provides insight into controlling and predicting the behavior of solid-state lasers with intracavity nonlinearities.