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BOUND STATES IN WEAKLY DEFORMED WAVEGUIDES: NUMERICAL VERSUS ANALYTICAL RESULTS

Published online by Cambridge University Press:  03 October 2017

PAOLO AMORE*
Affiliation:
Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico email paolo.amore@gmail.com
JOHN P. BOYD
Affiliation:
Department of Atmospheric, Oceanic & Space Science, University of Michigan, 2455 Hayward Avenue, Ann Arbor, MI 48109, USA email jpboyd@umich.edu
FRANCISCO M. FERNÁNDEZ
Affiliation:
INIFTA (UNLP, CCT La Plata-CONICET), Division Quimica Teorica, Blvd. 113 S/N, Sucursal 4, Casilla de Correo 16, 1900 La Plata, Argentina email fernande@quimica.unlp.edu.ar
MARTIN JACOBO
Affiliation:
Facultad de Ciencias, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico
PETR ZHEVANDROV
Affiliation:
Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Ciudad Universitaria, 58030 Morelia, Michoacán, Mexico email pzhevand@gmail.com
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Abstract

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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.

Type
Research Article
Copyright
© 2017 Australian Mathematical Society 

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