English

Bound states in weakly deformed waveguides: numerical vs analytical results

Computational Physics 2016-05-27 v1

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.

Keywords

Cite

@article{arxiv.1605.08126,
  title  = {Bound states in weakly deformed waveguides: numerical vs analytical results},
  author = {Paolo Amore and John P. Boyd and Francisco M. Fernández and Martin Jacobo and Petr Zhevandrov},
  journal= {arXiv preprint arXiv:1605.08126},
  year   = {2016}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-22T14:09:52.202Z