Resonance Patterns in a Stadium-shaped Microcavity

Details Resonance Patterns in a Stadium-shaped Microcavity Resonance Patterns in a Stadium-shaped Microcavity

2004-09-06

arxiv.org/abs/nlin/0409011v1

Phys. Rev. A 70, 023809 (2004)

Nonlinear Sciences

Chaotic Dynamics

8 pages, 9 figures

Scientific paper

10.1103/PhysRevA.70.023809

We investigate resonance patterns in a stadium-shaped microcavity around $n_ck R \simeq 10$, where $n_c$ is the refractive index, $k$ the vacuum wavenumber, and $R$ the radius of the circular part of the cavity. We find that the patterns of high $Q$ resonances can be classified, even though the classical dynamics of the stadium system is chaotic. The patterns of the high $Q$ resonances are consistent with the ray dynamical consideration, and appears as the stationary lasing modes with low pumping rate in the nonlinear dynamical model. All resonance patterns are presented in a finite range of $kR$.

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