Bound states in weakly deformed waveguides: numerical vs analytical results

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 heteroge...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-05
Main Authors: Amore, Paolo, Boyd, John P, Fernández, Francisco M, Martin, Jacobo, Zhevandrov, Petr
Format: Article
Language:English
Subjects:
Deformation
Mathematical analysis
Waveguides
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422