The Use of Conduction Mode Basis Functions in Surface Integral Formulation for Wideband Impedance Extraction

This thesis presents an improved method of modeling contact current distribution in the quasi-static and full-wave surface integral equation solver FastImp [1]. A significant shortcoming of FastImp is its lack of a single uniform approach to model contact current across different frequencies. Its method of computing contact current at high frequencies does not efficiently and optimally capture skin and proximity effects. Its method of computing contact current at low frequencies lacks accuracy due to the use of a centroid collocation scheme when evaluating fields on the contact surfaces. The method discussed in this thesis offers a unified, more accurate and more efficient method of computing contact current over a wide range of frequencies. It is shown in this thesis that the electric field on the conductor contact surfaces can be modeled effectively by only a few conduction modes as basis functions. These conduction modes were first introduced in [2] for a "volume " integral equation solver. In this thesis, we improved these basis functions and adapted them into a "surface" integral equation solver. On the non-contact surfaces, the electric field is modeled b