Bound states in weakly deformed waveguides: numerical vs analytical results

TL;DR

This paper compares analytical perturbative predictions with numerical results for bound states in weakly deformed waveguides, confirming the accuracy of the analytical method across various configurations.

Contribution

It provides a numerical verification of a recent analytical perturbative approach for bound states in weakly deformed waveguides.

Findings

Excellent agreement between analytical and numerical results

Validation of the perturbative method for different waveguide configurations

Supports the analytical approach's reliability in weakly deformed systems

Abstract

We have studied the emergence of bound states in weakly deformed and/or heterogeneous waveguides, comparing the analytical predictions obtained using a recently developed perturbative method, with precise numerical results, for different configurations (a homogeneous asymmetric waveguide, a heterogenous asymmetric waveguide and a homogeneous broken-strip). In all the examples considered in this paper we have found excellent agreement between analytical and numerical results, thus providing a numerical verification of the analytical approach.