Imaging of Rough Surfaces Having Impedance Boundary Condition by the Use of Newton Iterative Algorithm

Abstract

In this letter, an inverse scattering problem for the reconstruction of rough surfaces having standard impedance boundary condition (IBC) is presented. The method presented in this letter is the extension of a method given by Yapar et al. to the case of IBC. The reconstruction is obtained from the scattered field measurements for a plane wave illumination of the inaccessible rough surface. Through a special representation of the scattered field in terms of a Fourier transformation and a Taylor series expansion, the problem is first reduced to a nonlinear operator equation. Then, this nonlinear equation is iteratively solved via the Newton method. Numerical results show that the method produces quite satisfactory results regardless of the values of the impedance.