Bound states in weakly deformed waveguides: numerical versus analytical results

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


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.



trapped modes, bound states, deformed waveguide.


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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.