On the absence of trapped modes in locally perturbed open waveguides - Archive ouverte HAL
Journal Articles IMA Journal of Applied Mathematics Year : 2014

On the absence of trapped modes in locally perturbed open waveguides

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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Dates and versions

hal-00967920 , version 1 (31-03-2014)

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Christophe Hazard. On the absence of trapped modes in locally perturbed open waveguides. IMA Journal of Applied Mathematics, 2014, pp.14. ⟨10.1093/imamat/hxu046⟩. ⟨hal-00967920⟩
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