Matrix interpretation of the spectral iteration technique for 3D dielectric scatterers in the resonance region

The matrix interpretation of the spectral iteration technique (MSIT) has recently been shown to provide rapid convergence for the electromagnetic problems associated with 2D homogeneous dielectric scatterers in the resonance region for both TM and TE incidence. The MSIT is presented in a form suitable for use on 3D homogeneous dielectric and lossy-dielectric scatterers. Rapid convergence on test problems in the resonance region is demonstrated with significantly fewer than ³ square root (N) iterations, where N is the number of unknowns, needed for electrically large scatterers. The bistatic RCS computed from the MSIT for spheres with a range of permittivities and diameters up to 2 lambda ₀ are shown to be in good agreement with analytic solutions. Current distributions from some initial tests on lossy-dielectric thin plates show well-behaved and symmetric results.