Exceptional Point Conditions in Perturbed Coupled Resonators: A Generalized Approach

Abstract

The phase singularity in open optical systems known as exceptional point has revealed exotic functionalities such as ultrasensitive sensors and laser beam unidirectionality. Nevertheless, the properties of such highly-sensitive systems can be affected by unwanted perturbations during the fabrication process. We analytically derive the conditions to reach an exceptional point in a perturbed pair of coupled ring resonators, where both resonators can be perturbed by different scatterers. A numerical example is employed to verify the proposed analytical method.