Directional Emission from a Microdisk Resonator with a Linear Defect

TL;DR

This paper theoretically investigates how a linear defect near a microdisk resonator enhances output efficiency and directs emitted light, with detailed analysis of defect position and orientation effects on radiation patterns.

Contribution

It introduces a theoretical model showing how a linear defect can improve directionality and efficiency in microdisk resonators, including optimal defect orientations.

Findings

Defect presence enhances output efficiency.

Defect orientation controls emission directionality.

Far-field pattern exhibits a Lorentzian angular dependence.

Abstract

Microdisk resonator with a linear defect at some distance away from the circumference is studied theoretically. We demonstrate that the presence of the defect leads to ({\em i}) enhancement of the output efficiency, and ({\em ii}) directionality of the outgoing light. The dependence of the radiative losses and of the far-field distribution on the position and orientation of the defect are calculated. The angular dependence of the far field is given by a lorentzian with a width that has a sharp minimum for a certain optimal orientation of the defect line. For this orientation the whispering-gallery mode of a circular resonator is scattered by the extended defect in the direction normal to the disk boundary.