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.
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