Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method

TLDR

The distorted Born iterative method (DBIM) is applied to two‑dimensional inverse scattering, providing a general solution when the Born and Rytov approximations fail, and is benchmarked against the authors’ earlier Born iterative method (BIM) through numerical simulations. DBIM converges faster than BIM, while BIM is more robust to noise contamination. Reference: J.

Abstract

The distorted Born iterative method (DBIM) is used to solve two-dimensional inverse scattering problems, thereby providing another general method to solve the two-dimensional imaging problem when the Born and the Rytov approximations break down. Numerical simulations are performed using the DBIM and the method proposed previously by the authors (Int. J. Imaging Syst. Technol., vol.1, no.1, p.100-8, 1989) called the Born iterative method (BIM) for several cases in which the conditions for the first-order Born approximation are not satisfied. The results show that each method has its advantages; the DBIM shows faster convergence rate compared to the BIM, while the BIM is more robust to noise contamination compared to the DBIM.