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Ray splitting in paraxial optical cavities.

G Puentes1, A Aiello, J P Woerdman

  • 1Huygens Laboratory, Leiden University, P.O. Box 9504, Leiden, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2004
PubMed
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We numerically investigated ray dynamics in a stable optical resonator with a beam splitter. Depending on its position, the resonator can become unstable, leading to chaotic ray behavior with a positive Lyapunov exponent.

Area of Science:

  • Optics and Photonics
  • Nonlinear Dynamics

Background:

  • Optical resonators are fundamental in laser systems.
  • Understanding ray dynamics is crucial for resonator stability.

Purpose of the Study:

  • To investigate ray dynamics in a paraxial optical cavity with a ray-splitting mechanism.
  • To determine the conditions for resonator instability due to beam splitter insertion.

Main Methods:

  • Numerical simulation of ray trajectories.
  • Analysis of ray dynamics in a two-mirror stable resonator.
  • Introduction of an optical beam splitter perpendicular to the cavity axis.

Main Results:

  • The optical resonator can become unstable based on the beam splitter's position.

Related Experiment Videos

  • Ray dynamics exhibit a positive Lyapunov exponent, indicating chaotic behavior.
  • The position of the beam splitter is a critical parameter for resonator stability.

    • Conclusions:

    • Ray splitting introduces the possibility of instability in otherwise stable optical resonators.
    • The presence and position of a beam splitter can induce chaotic ray dynamics.
    • This study provides insights into controlling optical resonator stability through component placement.