In this paper, the exact differential surface admittance (DSA) operator for scattering analysis of a homogeneous dielectric sphere is constructed. By utilizing two sets of orthogonal vector spherical harmonics as the basis functions for a Galerkin Method of Moments, the operator in question is obtained analytically. In comparison with the Mie series solution for a tangential electric dipole as source, a combination of the electric field integral equation and the DSA is shown to produce the same result within 12 digits of accuracy, laying the foundations for a subsequent analysis into the operator’s fundamental properties.
Broadband Electromagnetic Modeling of On-Chip Passives Using a Differential Surface Admittance Operator for 3-D Piecewise Homogeneous Structures
Accurate modeling of on-chip passive components is vital for reliable integrated circuit (IC) design. However, this is non-trivial due to the inherent heterogeneity of the