A Novel Method Using Contraction Integral Equation For Inversion Of Two-Dimensional Dielectric Scatterers

Abstract

A new method based on Contraction Integral Equation (CIE) is proposed here to solve the highly nonlinear electromagnetic inverse scattering problems with strong noise disturbance. The high-frequency components can be quite sensitive to noise. Since noise is inevitable for a practical ISP, in view of this characteristic, those high-frequency components could easily lead the third round of optimization to converge to a noise-polluted result. Furthermore, when the noise interference is significant, the algorithm cannot even achieve convergence of the iteration. Since the low-frequency components used in these rounds are not sensitive to noise, there is no need to weaken the weight of the data equation mismatch term. Finally, the effectiveness and versatility of the new method is verified through numerical analysis.