Phase Space Engineering in Optical Microcavities II: Controlling the far-field

TL;DR

This paper introduces a method to control the far-field emission profile of high-Q whispering gallery modes in optical microcavities by adjusting the hole radius in an annular cavity, leveraging classical phase space dynamics.

Contribution

It presents a novel approach to modify far-field emission profiles without reducing the quality factor Q in optical microcavities using phase space engineering.

Findings

Controlled emission directionality achieved via hole radius adjustment.

Classical phase space analysis predicts wave emission characteristics.

Method preserves high Q while tailoring far-field profiles.

Abstract

Optical microcavities support Whispering Gallery Modes (WGMs) with a very high quality factor Q. However, WGMs typically display a far-field isotropic emission profile and modifying this far-field profile without spoiling the associated high Q remains a challenge. Using a 2D annular cavity, we present a procedure capable to achieve these two apparently conflicting goals. With the correspondence between the classical and the wave picture, properties of the classical phase space shed some light on the characteristics of the wave dynamics. Specifically, the annular cavity has a well separated mixed phase space, a characteristic that proves to be of crucial importance in the emission properties of WGMs. While the onset of directionality in the far-field may be achieved through parametric deformation of the distance cavity-hole centers, this contribution presents a method to control the emission profile via a second parameter, the hole radius. The influence of the classical dynamics to control and predict the field emission will be demonstrated.