Bound states in weakly deformed waveguides: numerical versus analytical results
Keywords:trapped modes, bound states, deformed waveguide.
AbstractWe 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
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