A recursive Green's function method for boundary integral analysis of inhomogeneous domains

The recursive Green's function method (RGFM) for computation of fields scattered by two-dimensional (2-D) inhomogeneous dielectric bodies is presented. The algorithm efficiently constructs the Green's function for the inhomogeneous region by recursively combining known Green's functions from smaller subdomains, The fields on the scatterer surface are then computed using a boundary integral formulation. Proper implementation of the RGFM results in computational and storage complexities which scale as N-1.5 and N, respectively, where N is the total number of discrete cells in a domain, Comparisons of results obtained using the RGFM with those computed from moment method and exact solutions show the efficiency and accuracy of the technique.