Internal and External Resonances of Dielectric Disks

Abstract

Circular microresonators (microdisks) are micron sized dielectric disks embedded in a material of lower refractive index. They possess modes with complex eigenvalues (resonances) which are solutions of analytically given transcendental equations. The behavior of such eigenvalues in the small opening limit, i.e. when the refractive index of the cavity goes to infinity, is analysed. This analysis allows one to clearly distinguish between internal (Feshbach) and external (shape) resonant modes for both TM and TE polarizations. This is especially important for TE polarization for which internal and external resonances can be found in the same region of the complex wavenumber plane. It is also shown that for both polarizations, the internal as well as external resonances can be classified by well defined azimuthal and radial modal indices.

5 pages, 8 figures, pdflatex

References in corpus (2)

• Inferring periodic orbits from spectra of simple shaped micro-lasers
• Resonances in a circular dielectric cavity

Cited by in corpus (12)

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• Outer Resonances and Effective Potential Analogy in Two-Dimensional Dielectric Cavities
• Trace formula for a dielectric microdisk with a point scatterer
• Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
• Dynamics of Morphology-Dependent Resonances by Openness in Dielectric Disk for TE polarization
• Ray model and ray-wave correspondence in coupled optical microdisks
• Trace formula for dielectric cavities III: TE modes
• Extending completeness of the eigenmodes of an open system beyond its boundary, for Green's function and scattering-matrix calculations