Quasi-Scarred Resonances in a Spiral-Shaped Microcavity

Details Quasi-Scarred Resonances in a Spiral-Shaped Microcavity Quasi-Scarred Resonances in a Spiral-Shaped Microcavity

2004-03-15

arxiv.org/abs/nlin/0403025v2

Physical Review Letters Vol.93, 164102 (2004)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures. to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.93.164102

We study resonance patterns of a spiral-shaped dielectric microcavity with chaotic ray dynamics. Many resonance patterns of this microcavity, with refractive indices $n=2$ and 3, exhibit strong localization of simple geometric shape, and we call them {\em quasi-scarred resonances} in the sense that there is, unlike the conventional scarring, no underlying periodic orbits. It is shown that the formation of quasi-scarred pattern can be understood in ter ms of ray dynamical probability distributions and wave properties like uncertainty and interference.

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