APPLICATION OF SUCCESSIVE APPROXIMATION METHOD TO THE COMPUTATION OF THE GREENS-FUNCTION IN AXISYMMETRICAL INHOMOGENEOUS-MEDIA

Successive approximation method (SAM) is applied to the computation of the Green's function in axisymmetric inhomogeneous media. SAM is impl emented by using an iterative procedure that produces a series, and th e series is proven to be a Taylor series. The condition of the converg ence is derived from the theory of functions of several complex variab les. In each iteration, the Fourier-Hankel transform and its inverse a re applied to the approximation of some order of the Green's function and the result is the approximation one order higher than the original . Fast Fourier-Hankel transform (FFHT) is employed to speed up the com putation, and thereby, an algorithm SAM-FFHT is formulated.