The inversion algorithm relies on the properties of complete families attached to the Helmholtz equation. Expansion coefficients in the approximate representation of the scattered wave on the obstacle boundary and in the far zone are related by affine transformations. Error analysis is carried out by introducing the ``trusted method'', suggested by a T-matrix scheme. Numerical results are provided to support the estimates.

Crosta, G. (1997). Obstacle reconstruction in acoustics: Error analysis of an inversion algorithm set in the subspace of outgoing spherical wave functions. NONLINEAR ANALYSIS, 30(6), 3481-3492 [10.1016/S0362-546X(97)00276-9].

Obstacle reconstruction in acoustics: Error analysis of an inversion algorithm set in the subspace of outgoing spherical wave functions

CROSTA, GIOVANNI FRANCO FILIPPO
1997

Abstract

The inversion algorithm relies on the properties of complete families attached to the Helmholtz equation. Expansion coefficients in the approximate representation of the scattered wave on the obstacle boundary and in the far zone are related by affine transformations. Error analysis is carried out by introducing the ``trusted method'', suggested by a T-matrix scheme. Numerical results are provided to support the estimates.
Articolo in rivista - Articolo scientifico
Axially symmetric obstacle; Back propagation; Boundary coefficients; Boundary defect minimization; Complete families; Convergence results; Far field coefficients; Inverse acoustics; Minimization algorithm; Shape identification; T-matrixschemes; Mathematics (all); Analysis; Applied Mathematics
English
3481
3492
12
ZentralBlatt fuer Mathematik Referat (Zbl 0895.76085): This paper presented to the Second world congress on nonlinear analysis shows that even for well-defined objects the wave reconstruction process remains very much a hit and miss affair -- at least that is the gist of the paper which is of course expressed in much more erudite and symbolic terms.Reviewer: J.E.Ffowcs Williams (Cambridge)
Crosta, G. (1997). Obstacle reconstruction in acoustics: Error analysis of an inversion algorithm set in the subspace of outgoing spherical wave functions. NONLINEAR ANALYSIS, 30(6), 3481-3492 [10.1016/S0362-546X(97)00276-9].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/93503
Citazioni
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 3
Social impact