On the absence of trapped modes in locally perturbed open waveguidesReport as inadecuate

On the absence of trapped modes in locally perturbed open waveguides - Download this document for free, or read online. Document in PDF available to download.

* Corresponding author 1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation Inria Saclay - Ile de France, ENSTA ParisTech 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.

Keywords : generalized Fourier transform Open waveguide Helmholtz equation

Author: Christophe Hazard -

Source: https://hal.archives-ouvertes.fr/


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