Publications
| Title : | A method to build non-scattering perturbations of two-dimensional acoustic waveguides |
| Year : | 2015 |
| Type : | paper in peer-reviewed journal |
| Authors : | A.-S. Bonnet-BenDhia, E. Lunéville, Y. Mbeutcha, S. Nazarov |
| Abstract : | 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. |
| Themes : |
Wave guides Harmonic waves Inverse problems |
| Reference : |
Math. meth. appl. sci. - vol. 40 (pp 335–349 )  |
