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

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.