We present a computationally efficient algorithmwhich combines the finite element method with Padé approximation. Thecombination is used to solve the problem of transverse magnetic and transverseelectric scattering from homogeneous lossy dielectric cylinders over a continuousrange of the complex permittivity variable by requiring the finite elementsolution only at a single complex permittivity value. The proposed methodis based on (1) assuming a power series expansion for the unknown solutionvector, the excitation vector, and the system matrix, (2) substituting thisinto the system matrix equation, and (3) finding the recursion relation for the solution vectors.

Published 20 February 2002.

Citation: Abu-Zaid, N. A., and H. Tosun (2002), Finite element analysis of two-dimensional EM scattering via Padéapproximation for complex permittivity, Radio Sci., 37(1), 1012, doi:10.1029/2000RS002614.