Sound soft screen detection in the near field
Alves, Carlos J. S.; Pires, Gabriel
Inverse Problems in Engineering Mechanics II (Editors: M. Tanaka and G. Dulikravich), Elsevier Publ. (2000), pp.563-571
https://web.tecnico.ulisboa.pt/~ist12831/proc/2000-Alves-Pires_InvProbEngMechII.pdf
We consider the inverse obstacle problem of identifying sound-soft plane screens. For spherical incident waves and for quite general scatterers we use the integral representation of the scattered field and a theoretical result is established in order to distinguish plane sound-soft screens from other obstacles.
The scattered field is the solution of the Helmholtz equation satisfying Dirichlet boundary conditions and the Sommerfeld radiation condition. A consequence of this result is the presentation of a criterium for the location and identification of such screens. Numerical simulations are presented to illustrate these results.
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