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

Author

Maponi, Pierluigi ; Zirilli, Francesco

Author_Institution

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

Volume

41

Issue

1

fYear

1999

fDate

2/1/1999 12:00:00 AM

Firstpage

44

Lastpage

47

Abstract

For pt.I see ibid., vol.39, no.14-19 (1997). The following electromagnetic inverse scattering problem is considered: reconstruction of the refractive index of a cylindrically symmetric inhomogeneity from knowledge of the scattered electromagnetic fields, when the inhomogeneity is hit by known incident electromagnetic fields. Taking advantage of the cylindrical symmetry, the problem for the Maxwell equations is reduced to a boundary-value problem for the two-dimensional scalar Helmholtz equation. The inverse problem is formulated using the Born approximation for the far-field patterns of the scattered fields. The numerical algorithm proposed in Maponi et al. (1997) is used

Keywords

Helmholtz equations; Maxwell equations; boundary-value problems; electromagnetic wave scattering; image reconstruction; inverse problems; numerical analysis; radar cross-sections; radar imaging; refractive index; 10 GHz; Born approximation; Ipswich data; Maxwell equations; boundary-value problem; cylindrically symmetric inhomogeneity; electromagnetic inverse scattering problem; far-field patterns; inverse medium problem; numerical method; reconstruction; refractive index; scattered electromagnetic fields; two-dimensional scalar Helmholtz equation; Approximation methods; Electromagnetic fields; Electromagnetic propagation; Electromagnetic scattering; Erbium; Image reconstruction; Insulation; Inverse problems; Maxwell equations; Refractive index;

fLanguage

English

Journal_Title

Antennas and Propagation Magazine, IEEE

Publisher

ieee

ISSN

1045-9243

Type

jour

DOI

10.1109/74.755025

Filename

755025