A numerical method to solve the inverse medium problem: an application to the Ipswich data

Author

Maponi, P. ; Misici, L. ; Zirilli, F.

Author_Institution

Dipt. di Matematica e Fisica, Camerino Univ., Macerata, Italy

Volume

39

Issue

2

fYear

1997

fDate

4/1/1997 12:00:00 AM

Firstpage

14

Lastpage

19

Abstract

We consider the propagation of electromagnetic waves in an inhomogeneous medium. The inhomogeneity is contained in a vertical cylinder with a compact base. When an incident wave meets the inhomogeneity, a scattered wave is generated. We consider the problem of the reconstruction of the inhomogeneous refractive index from some knowledge of the scattered waves generated by the interaction of the inhomogeneity with several known incident waves. We give a mathematical formulation of the problem, a numerical method to solve it, and some numerical results obtained using the numerical method proposed on the Ipswich data. The Ipswich data are experimental data. The inverse-scattering problem considered above is of great theoretical and practical interest. It is an ill-posed problem

Keywords

electromagnetic wave propagation; electromagnetic wave scattering; image reconstruction; inverse problems; numerical analysis; radar cross-sections; radar imaging; Ipswich data; electromagnetic waves; ill-posed problem; incident waves; inhomogeneous medium; inverse medium problem; inverse-scattering; numerical method; propagation; reconstruction; refractive index; scattered wave; vertical cylinder; Electromagnetic fields; Electromagnetic propagation; Electromagnetic scattering; Erbium; Filling; Image reconstruction; Inverse problems; Maxwell equations; Permittivity; Refractive index;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/74.584493

Filename

584493