# Quasi-polygonal Conformal Mappings for Designing Whispering Gallery   Modes of Multiple Direction Emission

**Authors:** Haoye Qin, Lemiao Yang

arXiv: 1908.03871 · 2019-08-21

## TL;DR

This paper introduces conformal mappings to design quasi-polygonal cavities that enable whispering gallery modes with directional emission, advancing control over light confinement and emission directionality.

## Contribution

The work presents a novel method of using conformal mappings to create quasi-polygonal cavities for tailored directional whispering gallery modes.

## Key findings

- Demonstrated anisotropic emission in designed cavities
- Successfully transformed circular cavities into quasi-polygonal shapes
- Enabled directional emission control in whispering gallery modes

## Abstract

We propose a series of conformal mappings for designing directional emission whispering gallery modes. The mappings transform circular cavity into quasi-polygonal transformation cavity. Anisotropic emission is demonstrated in the so-designed cavities.

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Source: https://tomesphere.com/paper/1908.03871