Quasiattractors in coupled maps and coupled dielectric cavities

TL;DR

This paper investigates the emergence of quasiattractors in the ray dynamics of coupled optical microcavities, revealing how phase space collapse leads to attracting phenomena in these systems.

Contribution

It introduces a combined map model with a selection rule to explain quasiattractors in coupled microcavities and derives a specific mapping for dielectric disks based on ray dynamics.

Findings

Attracting dynamics lead to quasiattractors due to phase space collapse.

Derived a mapping for dielectric disks using a ray model with a deterministic rule.

Discussed a generalized Poincaré surface of section at dielectric interfaces.

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 Poincar\'e surface of section at dielectric interfaces.