Multimode Two-Dimensional PT-Symmetric Waveguides

Abstract

In this article, we apply a time-dependent Darboux transformation for the construction of PT-symmetric multimode optical waveguides where the non-separable complex fluctuations of the refractive index confine guided modes. We focus on a family of settings based on the hyperbolic Pöschl-Teller potential well. We show that the transformed systems have a “missing” state, an extra guided mode whose analog does not exist in the original system.