Titre : A method to build non-scattering perturbations of two-dimensional acoustic waveguides
Année : 2015
Type : article (revue avec comité de lecture)
Auteurs : A.-S. Bonnet-BenDhia, E. Lunéville, Y. Mbeutcha, S. Nazarov
Résumé : We are interested in finding deformations of the rigid wall of a two-dimensional acoustic waveguide which are not detectable in the far field, as they produce neither reflection nor conversion of propagative modes. A proof of existence of such invisible deformations has been presented in (1]. It combines elements of the asymptotic analysis for small deformations and a fixed-point argument. In the present paper, we give a systematic presentation of the method, and we prove that it works for all frequencies except a discrete set. A particular attention is devoted to the practical implementation of the method. The main difficulty concerns the building of a dual family to given oscillating functions. Advantages and limits of the method are illustrated by several numerical results.
Thèmes : Guides d'ondes
Ondes harmoniques
Problèmes inverses
Référence : Math. meth. appl. sci. - vol. 40 (pp 335–349 ) images/icons/doctype_pdf.gif