BOUND STATES IN WEAKLY DEFORMED WAVEGUIDES: NUMERICAL VERSUS ANALYTICAL RESULTS

AMORE, PAOLO; JACOBO, MARTIN; FERNÁNDEZ, FRANCISCO M.; BOYD, JOHN P.; ZHEVANDROV, PETR

ANZIAM JOURNAL

CAMBRIDGE UNIV PRESS

Año: 2017 p. 1 - 15

1446-1811

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.