Resonance Patterns in a Stadium-shaped Microcavity

Abstract

We investigate resonance patterns in a stadium-shaped microcavity around $n_{c}kR\simeq 10$, where $n_c$ is the refractive index, $k$ the vacuum wavenumber, and $R$ the radius of the circular part of the cavity. We find that the patterns of high $Q$ resonances can be classified, even though the classical dynamics of the stadium system is chaotic. The patterns of the high $Q$ resonances are consistent with the ray dynamical consideration, and appears as the stationary lasing modes with low pumping rate in the nonlinear dynamical model. All resonance patterns are presented in a finite range of $kR$.

8 pages, 9 figures

References in corpus (5)

• Ray and wave chaos in asymmetric resonant optical cavities
• Boundary element method for resonances in dielectric microcavities
• Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers
• Fresnel filtering in lasing emission from scarred modes of wave-chaotic optical resonators
• Observation of emission from chaotic lasing modes in deformed microspheres: displacement by the stable orbit modes

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• Boundary integral equation method for resonances in gradient index cavities designed by conformal transformation optics
• Mesoscopic Möbius ladder lattices as non-Hermitian model systems
• Numerical investigation of coherent and turbulent structures of light via nonlinear integral mappings
• Directional emission, increased free spectral range and mode Q-factors in 2-D wavelength-scale optical microcavity structures