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

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 distorted Born iterative method and the method proposed previously by the authors (Int. J. Imaging Syst. Technol., vol. 1, no. 1 pp. 100-108, 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 distorted Born iterative method shows faster convergence rate compared to the Born iterative method, while the Born iterative method is more robust to noise contamination compared to the distorted Born iterative method.