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Synthesis and Operation of Fluorescent-core Microcavities for Refractometric Sensing
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Fermi resonance in optical microcavities.

Chang-Hwan Yi1, Hyeon-Hye Yu1, Ji-Won Lee1

  • 1Department of Physics, Sogang University, Seoul 121-742, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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Summary
This summary is machine-generated.

Fermi resonance, a quantum superposition, explains scarred resonances in dielectric microcavities. These resonances localize on periodic orbits, linking quantum properties to classical paths.

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Area of Science:

  • Quantum mechanics
  • Optics
  • Acoustics

Background:

  • Fermi resonance typically occurs between molecular modes with similar energies.
  • Scarred resonances are observed in deformed microcavities.

Purpose of the Study:

  • To identify scarred resonances in dielectric microcavities as a manifestation of Fermi resonance.
  • To establish a connection between quantum mechanical properties and classical periodic orbits.

Main Methods:

  • Analysis of quasinormal modes in dielectric microcavities.
  • Investigating avoided resonance crossings.
  • Deriving the relationship between quantum number differences and periodic orbits.

Main Results:

  • Scarred resonances in deformed dielectric microcavities are identified as Fermi resonance.
  • A pair of quasinormal modes interact via coupling, leading to avoided resonance crossings.
  • The quantum number difference of quasinormal modes is shown to equal periodic orbits.

Conclusions:

  • Fermi resonance provides a framework for understanding scarred resonances in microcavities.
  • Resonances are localized on specific periodic orbits, demonstrating a quantum-classical correspondence.
  • The derived relationship holds for various microcavity shapes (elliptic, rectangular, stadium).