Quasiattractors in coupled maps and coupled dielectric cavities

Jung-Wan Ryu; Martina Hentschel; Sang Wook Kim

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arXiv · 1203.4316

Quasiattractors in coupled maps and coupled dielectric cavities

Jung-Wan Ryu·Martina Hentschel·Sang Wook Kim

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Abstract

We study the origin of attracting phenomena in the ray dynamics of coupled optical microcavities. To this end we investigate a combined map that is composed of standard and linear map, and a selection rule that defines when which map has to be used. We find that this system shows attracting dynamics, leading exactly to a quasiattractor, due to collapse of phase space. For coupled dielectric disks, we derive the corresponding mapping based on a ray model with deterministic selection rule and study the quasiattractor obtained from it. We also discuss a generalized Poincaré surface of section at dielectric interfaces.

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Jung-Wan Ryu, Martina Hentschel, Sang Wook Kim. 2012-03-20. Quasiattractors in coupled maps and coupled dielectric cavities. https://arxiv.org/abs/1203.4316

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