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

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

1999-07-08

arxiv.org/abs/cond-mat/9907109v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 color figures

Scientific paper

10.1103/PhysRevLett.83.4991

We develop a perturbation theory for the lifetime and emission intensity for isolated resonances in asymmetric resonant cavities. The inverse lifetime $\Gamma$ and the emission intensity $I(\theta)$ 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 $\Gamma$ and $I(\theta)$ as sums over the contributions of rays which escape the resonator by refraction.

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