A second degree Newton method for an inverse scattering problem for a dielectric cylinder

Authors : Ahmet ALTUNDAG

Pages : 115-125

Doi:10.17350/HJSE19030000013

View : 20 | Download : 13

Publication Date : 2015-07-01

Article Type : Research Paper

Abstract :The inverse obstacle scattering problem we are interested is to reconstruct the image of an infinitely long homogeneous dielectric cylinder from the far field pattern for scattering of a time-harmonic E-polarized electromagnetic plane wave. We extend the approach suggested by Kress and Lee [18] that combines the ideas of Hettlich and Rundell [10] and Johansson and Sleeman [14] for the case of the inverse problem for a perfectly conducting scatterer to the case of penetrable scatterer. The inverse problem is depended on a system of non-linear boundary integral equations associated with a single layer approach to solve the direct scattering problem. We show the mathematical foundations of the method and illustrate its feasibility by numerical examples
Keywords : Helmholtz Equation, Inverse Scattering, Transmission Boundary Condition, Non Linear Integral Equations, Gauss Newton Iteration Methods, Single Layer Approach