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Chaotic behavior in transverse-mode laser dynamics.

Wang Kaige1, N. B. Abraham, A. M. Albano

  • 1Department of Physics, Bryn Mawr College, 101 N. Merion Ave., Bryn Mawr, Pennsylvania 19010-2899.

Chaos (Woodbury, N.Y.)
|July 1, 1993
PubMed
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Chaos in laser transverse pattern dynamics can originate from low-dimensional phase dynamics. Numerical simulations confirm this, revealing correlated modal amplitude fluctuations, not full spatiotemporal chaos.

Area of Science:

  • Laser physics
  • Nonlinear dynamics
  • Computational physics

Background:

  • Transverse pattern dynamics in lasers can exhibit complex behaviors.
  • Understanding the origins of chaos in these systems is crucial for controlling laser output.
  • Previous studies have explored various models for laser dynamics.

Purpose of the Study:

  • To investigate the origin and dimensionality of chaotic behavior in laser transverse pattern dynamics.
  • To compare the dynamics described by the Ginzburg-Landau equation and a phase-only equation.
  • To determine if the observed chaos is low-dimensional or indicative of turbulence.

Main Methods:

  • Numerical simulations of laser transverse pattern dynamics.
  • Analysis using the Ginzburg-Landau equation for complex field amplitude.

Related Experiment Videos

  • Investigation using a Kuramoto-Sivashinsky-type equation for phase dynamics.
  • Expansion of equations in terms of spatial modes.

    • Main Results:

    • Chaotic behavior was observed in numerical simulations.
    • Chaos was found to originate in phase dynamics and be of low dimension.
    • Both the Ginzburg-Landau and phase-only equations exhibited similar chaotic behavior.
    • Modal amplitude fluctuations were correlated, indicating low-dimensional chaos.

    Conclusions:

    • Laser chaos can arise from low-dimensional phase dynamics.
    • The observed dynamics represent a form of low-dimensional chaos, distinct from turbulence.
    • Phase dynamics play a critical role in the onset of chaos in transverse laser patterns.