We consider the acoustic field scattered by a bounded impenetrable obstacle and we study its dependence upon a certain set of parameters. As usual, the problem is modeled by an exterior Dirichlet problem for the Helmholtz equation "u + k 2 u = 0. We show that the solution u and its far field pattern u ∞ depend real analytically on the shape of the obstacle, the wave number k, and the Dirichlet datum. We also prove a similar result for the corresponding Dirichlet-to-Neumann map.

Dalla Riva M., Luzzini P., Musolino P. (2022). Multi-parameter analysis of the obstacle scattering problem. INVERSE PROBLEMS, 38(5) [10.1088/1361-6420/ac5eea].

Multi-parameter analysis of the obstacle scattering problem

Dalla Riva M.;
2022-04-02

Abstract

We consider the acoustic field scattered by a bounded impenetrable obstacle and we study its dependence upon a certain set of parameters. As usual, the problem is modeled by an exterior Dirichlet problem for the Helmholtz equation "u + k 2 u = 0. We show that the solution u and its far field pattern u ∞ depend real analytically on the shape of the obstacle, the wave number k, and the Dirichlet datum. We also prove a similar result for the corresponding Dirichlet-to-Neumann map.
2-apr-2022
Dalla Riva M., Luzzini P., Musolino P. (2022). Multi-parameter analysis of the obstacle scattering problem. INVERSE PROBLEMS, 38(5) [10.1088/1361-6420/ac5eea].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/582614
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