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.
A Novel Vectorial Unified Transform for the Full-Wave Broadband Characterization of On-chip Passives
We present a novel framework for deriving the three-dimensional (3-D) differential surface admittance (DSA) operator. The approach is based on a new unified transform method