Quality factors and dynamical tunneling in annular microcavities
arXiv:0903.0974 · doi:10.1103/PhysRevA.79.063804
Abstract
The key characteristic of an optical mode in a microcavity is its quality factor describing the optical losses. The numerical computation of this quantity can be very demanding for present-day devices. Here we show for a certain class of whispering-gallery cavities that the quality factor is related to dynamical tunneling, a phenomenon studied in the field of quantum chaos. We extend a recently developed approach for determining dynamical tunneling rates to open cavities. This allows us to derive an analytical formula for the quality factor which is in very good agreement with full solutions of Maxwell's equations.
7 pages, 5 figures
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- Spatial structure of lasing modes in wave-chaotic semiconductor microcavities
- Chaos-assisted emission from asymmetric resonant cavity microlasers
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- Complex paths for regular-to-chaotic tunneling rates
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- Resonance-assisted tunneling in 4D normal-form Hamiltonians
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- Bloch theorem dictated wave chaos in microcavity crystals
- Regular modes of a mixed dynamical based optical fiber
- Relative Entropy as a Measure of Difference Between Hermitian and Non-Hermitian Systems
- Husimi function for electrons moving in magnetic fields
- Temporal flooding of regular islands by chaotic wave packets