Bound states in weakly deformed waveguides: numerical versus analytical results

Paolo Amore; John P. Boyd; Francisco M. Ferna'ndez; Martin Jacobo; Petr Zhevandrov

doi:10.21914/anziamj.v59i0.11071

Authors

Paolo Amore Universidad de Colima, Mexico http://orcid.org/0000-0002-1321-9437
John P. Boyd University of Michigan http://orcid.org/0000-0003-3737-9715
Francisco M. Ferna'ndez Universidad de La Plata
Martin Jacobo Universidad de Colima
Petr Zhevandrov Universidad Michoacana de San Nicolas de Hidalgo

DOI:

https://doi.org/10.21914/anziamj.v59i0.11071

Keywords:

trapped modes, bound states, deformed waveguide.

Abstract

We study bound states in weakly deformed and heterogeneous waveguides, and compare analytical predictions using a recently developed perturbative method with precise numerical results for three different configurations: a homogeneous asymmetric waveguide, a heterogenous asymmetric waveguide and a homogeneous broken strip. We have found excellent agreement between the analytical and numerical results in all the examples; this provides a numerical verification of the analytical approach. doi:10.1017/S1446181117000293

Author Biographies

Paolo Amore, Universidad de Colima, Mexico

Professor, Physics Department

John P. Boyd, University of Michigan

Professor, Department of Atmospheric, Oceanic & Space Science, University of Michigan, 2455 Hayward Avenue, Ann Arbor MI 48109

Francisco M. Ferna'ndez, Universidad de La Plata

Professor INIFTA (UNLP, CCT La Plata-CONICET), Division Quimica Teorica, Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900 La Plata, Argentina

Martin Jacobo, Universidad de Colima

Undergraduate student, Facultad de Ciencias, Universidad de Colima, Bernal Di'az del Castillo 340, Colima, Colima, Mexico

Petr Zhevandrov, Universidad Michoacana de San Nicolas de Hidalgo

Professor Facultad de Ciencias Fi'sico-Matema'ticas, Universidad Michoacana de San Nicola's de Hidalgo, Ciudad Universitaria, 58030 Morelia, Michoaca'n, Mexico.