Numerical analysis of electrically small structures embedded in a layered medium

Abstract

Accurate numerical analysis of electrically small structures embedded in a layered medium is presented in this letter. In our approach, the matrix-friendly layered medium Green's function is implemented for its elegant expression and singularity of lowest order. The current is decomposed into divergence-free part and nondivergence-free part according to quasi-Helmholtz decomposition when frequency tends to zero, to capture both capacitance and inductance physics. Frequency normalization is applied after analyzing frequency scaling properties of different blocks of the matrix system. Similar to the free space case, connection matrix is utilized to make the electro-quasi-static block amenable to iterative solvers. © 2009 Wiley Periodicals, Inc.