Chaotic Waveguide-Based Resonators for Microlasers

TL;DR

This paper introduces a novel design for microlasers using chaotic waveguide resonators with specific cavity shapes to produce directional emission, leveraging chaotic ray dynamics and quasi bound states.

Contribution

It presents a new approach to microlaser design employing chaotic waveguide resonators with shape-induced phase space resonance islands for directional lasing.

Findings

Predicts lasing direction and intensity using classical ray dynamics.

Identifies quasi bound states through Helmholtz equation solutions.

Demonstrates the role of chaotic dynamics in microlaser emission.

Abstract

We propose the construction of highly directional emission microlasers using two-dimensional high-index semiconductor waveguides as {\it open} resonators. The prototype waveguide is formed by two collinear leads connected to a cavity of certain shape. The proposed lasing mechanism requires that the shape of the cavity yield mixed chaotic ray dynamics so as to have the appropiate (phase space) resonance islands. These islands allow, via Heisenberg's uncertainty principle, the appearance of quasi bound states (QBS) which, in turn, propitiate the lasing mechanism. The energy values of the QBS are found through the solution of the Helmholtz equation. We use classical ray dynamics to predict the direction and intensity of the lasing produced by such open resonators for typical values of the index of refraction.