Complete families of linearly independent solutions to the scalar Helmholtz equation introduced and studied in detail by a number of authors provide a unified view over a class of direct and inverse scattering problems and have an impact over solution algorithms. In this paper, they are shown to improve the understanding of two known direct scattering algorithms and to suggest a new solution method for an imaging problem: the reconstruction of an impenetrable obstacle in the resonance region from the knowledge of the incident field and the scattering amplitude and from prior information.
Crosta, G. (1995). Forward and backward propagators applied to direct and inverse scattering of the scalar field in the resonance region. In W. Imbriale, M. Thorburn, R. Pogorzelski, T. Cwik (a cura di), IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) (pp. 1622-1625). Piscataway, NJ : IEEE [10.1109/APS.1995.530890].
Forward and backward propagators applied to direct and inverse scattering of the scalar field in the resonance region
CROSTA, GIOVANNI FRANCO FILIPPOPrimo
1995
Abstract
Complete families of linearly independent solutions to the scalar Helmholtz equation introduced and studied in detail by a number of authors provide a unified view over a class of direct and inverse scattering problems and have an impact over solution algorithms. In this paper, they are shown to improve the understanding of two known direct scattering algorithms and to suggest a new solution method for an imaging problem: the reconstruction of an impenetrable obstacle in the resonance region from the knowledge of the incident field and the scattering amplitude and from prior information.
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