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Semiclassical theory of the emission properties of wave-chaotic resonant cavities

Evgenii E. Narimanov·Gregor Hackenbroich·Philippe Jacquod·A. Douglas Stone
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Abstract

We develop a perturbation theory for the lifetime and emission intensity for isolated resonances in asymmetric resonant cavities. The inverse lifetime $Γ$ and the emission intensity $I(θ)$ in the open system are expressed in terms of matrix elements of operators evaluated with eigenmodes of the closed resonator. These matrix elements are calculated in a semiclassical approximation which allows us to represent $Γ$ and $I(θ)$ as sums over the contributions of rays which escape the resonator by refraction.

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Evgenii E. Narimanov, Gregor Hackenbroich, Philippe Jacquod, A. Douglas Stone. 1999-07-08. Semiclassical theory of the emission properties of wave-chaotic resonant cavities. https://doi.org/10.1103/physrevlett.83.4991

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