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Quasiattractors in coupled maps and coupled dielectric cavities
Jung-Wan Ryu1, Martina Hentschel, Sang Wook Kim
1Department of Physics, Pusan National University, Busan, South Korea.
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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