Title :
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
fDate :
2/1/1999 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation Magazine, IEEE
