Title :
Imaging of Rough Surfaces Having Impedance Boundary Condition by the Use of Newton Iterative Algorithm
Author_Institution :
Fac. of Eng., Marmara Univ., Istanbul, Turkey
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 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.
Keywords :
Fourier transforms; Newton method; geophysical image processing; geophysical techniques; image reconstruction; inverse problems; rough surfaces; Fourier transformation; Newton iterative algorithm; Taylor series expansion; impedance boundary condition; inverse scattering problem; plane wave illumination; rough surface imaging; rough surfaces reconstruction; Impedance boundary condition (IBC); Newton´s method; inverse scattering; rough surface;
Journal_Title :
Geoscience and Remote Sensing Letters, IEEE
DOI :
10.1109/LGRS.2009.2030904