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Related Experiment Videos

Directional emission from weakly eccentric resonators.

Stephen C Creagh1

  • 1School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom.

Physical Review Letters
|May 16, 2007
PubMed
Summary
This summary is machine-generated.

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Deforming circular resonators breaks symmetry in escaping rays, significantly altering outgoing waves. This effect, crucial for whispering-gallery optical resonances, is explained using canonical perturbation theory for nonintegrable models.

Area of Science:

  • Physics
  • Optics
  • Mathematical Physics

Background:

  • Whispering-gallery optical resonances in dielectric cavities are of significant practical interest.
  • Understanding wave emission from deformed resonators is crucial for optical applications.
  • Integrable models allow exact computation of ray families, but real-world resonators often exhibit nonintegrable behavior.

Purpose of the Study:

  • To investigate the effect of nonintegrable deformation on circular resonators.
  • To explain the mechanism of symmetry breaking in escaping rays.
  • To provide analytical characterizations for small deformations in optical resonators.

Main Methods:

  • Canonical perturbation theory applied to nonintegrable models.
  • Analysis of symmetry breaking in escaping ray dynamics.

Related Experiment Videos

  • Theoretical framework for characterizing emission from deformed resonators.

    • Main Results:

    • Nonintegrable deformation of circular resonators leads to symmetry breaking of escaping rays.
    • This symmetry breaking can dramatically modulate the outgoing wave, even with small perturbations.
    • The underlying mechanism is distinct from integrable models.

    Conclusions:

    • The study provides a theoretical explanation for symmetry breaking in deformed resonators.
    • The findings are relevant for understanding and manipulating whispering-gallery optical resonances.
    • The proposed analytical approach offers simple characterizations for small deformations in practical optical systems.