Second term of the asymptotic expansion of the diffracted wave in the shadow

Article type: Research Article

Authors: Lafitte, Olivier^{; ;}

Affiliations: Massachusetts Institute of Technology, Departement of Mathematics, Cambridge, MA 02139, USA | Commissariat à l'Energie Atomique, DMA/MCN, Centre d'Etudes de Limeil-Valenton 94 195 Villeneuve Saint Georges Cedex, France

Note: [] This work has been supported in part by the contract 93-1187/A000 of the Délégation Générale pour l'Armement (D.R.E.T.)

Abstract: In this paper we calculate the second order term of the Neumann operator for the high frequency scattering of a wave by a strictly convex obstacle Ω using the techniques introduced by G. Lebeau and used in previous works. This second term is used to calculate the scattering by Ω⊂R2, and the result is compared to previous results of V. Babich and I. Molotkov. We generalize the calculation when Ω⊂R3.

DOI: 10.3233/ASY-1996-13401

Journal: Asymptotic Analysis, vol. 13, no. 4, pp. 319-359, 1996