Non-Iterative Methods Based on Singular Value Decomposition for Inverse Scattering Problems

Three non-iterative methods, including major current coefficient (MCC) method, modified Born approximation (MBA) method, and connection method, are proposed to solve inverse scattering problems in this article. The three methods are motivated by the observation that the right singular vectors corresponding to large singular values have a large effect on the scattered field within the domains of interest (DOI), which has been verified both analytically and numerically for different measurement setups. The performance of the proposed methods is verified using both synthetic and experimental data. One important conclusion is that the proposed methods greatly outperform the widely used Born approximation (BA) and Rytov approximation (RA) inversion methods, with low overhead computational cost.