Bound states in weakly deformed waveguides: numerical versus analytical results

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

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

Keywords


trapped modes, bound states, deformed waveguide.



DOI: http://dx.doi.org/10.21914/anziamj.v59i0.11071



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