QUASI-LINEAR SERIES IN 3-DIMENSIONAL ELECTROMAGNETIC MODELING

We have recently introduced a quasi-linear (QL) approximation for the solution of the three-dimensional (3-D) electromagnetic modeling probl em. In this paper we discuss an approach to improving its accuracy by considering the QL approximations of the higher-order. This approach c an be considered the natural generalization of the Born series. We use the modified Green's operator with the norm less than 1 to ensure the convergence of the higher orders QL approximations to the true soluti on. This new approach produces the converged QL series, which makes it possible to estimate the accuracy of the original QL approximation wi thout direct comparison with the rigorous full integral equation solut ion. It also opens principally new possibilities for fast and accurate 3-D EM modeling and inversion.