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

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.

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.