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arxiv: 0812.2823 · v1 · pith:Q37HKP4Knew · submitted 2008-12-15 · ⚛️ physics.optics

Lifetime statistics in chaotic dielectric microresonators

classification ⚛️ physics.optics
keywords chaoticdielectriclifetimemicroresonatorsresonancesstatisticsanomalouslyappropriately
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We discuss the statistical properties of lifetimes of electromagnetic eigenmodes in dielectric microresonators with fully chaotic ray dynamics. Using the example of a resonator of stadium geometry, we find that a recently proposed random-matrix model very well describes the lifetime statistics of long-lived resonances, provided that two effective parameters are appropriately renormalized. This renormalization is linked to the formation of anomalously short-lived resonances, a mechanism also known from the fractal Weyl law and the resonance trapping phenomenon.

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