1. Forward and backward propagators applied to direct and inverse scattering of the scalar field in the resonance region
- Author
-
G.F. Crosta, Aanandan, CK, Abdalla, AGE, Abdelmageed, AK, Zimmermann, ML, Zirilli, F, Zwick, T, Imbriale, W, Thorburn, M, Pogorzelski, R, Cwik, T, and Crosta, G
- Subjects
Physics ,ING-INF/02 - CAMPI ELETTROMAGNETICI ,Helmholtz equation ,Scattering ,Scalar (mathematics) ,scattering ,Propagator ,Inverse problem ,MAT/07 - FISICA MATEMATICA ,Scattering amplitude ,MAT/08 - ANALISI NUMERICA ,Classical mechanics ,Inverse scattering problem ,inverse problem ,Electrical and Electronic Engineering: Helmholtz equation ,complete familie ,Scalar field ,approximation ,MAT/05 - ANALISI MATEMATICA - Abstract
Complete families of linearly independent solutions to the scalar Helmholtz equation introduced by Vekua (1953) and further studied by Kleinman et al. (1984), Ramm (1986), provide a unified view over a class of direct and inverse scattering problems and have an impact over solution algorithms. 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 knowledge of the incident field and the scattering amplitude and from prior information.
- Published
- 1995