Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [21 references]  Display  Hide  Download
Contributor : Christophe Hazard Connect in order to contact the contributor
Submitted on : Monday, March 31, 2014 - 10:38:13 AM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM
Long-term archiving on: : Monday, April 10, 2017 - 6:40:20 AM


Files produced by the author(s)




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⟩



Record views


Files downloads