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On the absence of trapped modes in locally perturbed open waveguides

Christophe Hazard 1, *
* Corresponding author
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This paper presents a new approach for proving that the presence of a bounded defect in a uniform open waveguide cannot produce trapped modes, contrary to the case of a closed waveguide. The originality of the proof lies in the fact that it relies on a modal decomposition. It shows in particular that the absence of trapped modes results from a strong connection between the various modal components of the field. The case of the three-dimensional scalar wave equation is considered.
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Submitted on : Monday, March 31, 2014 - 10:38:13 AM
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Christophe Hazard. On the absence of trapped modes in locally perturbed open waveguides. IMA Journal of Applied Mathematics, Oxford University Press (OUP), 2014, pp.14. ⟨10.1093/imamat/hxu046⟩. ⟨hal-00967920⟩

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