ABSTRACT
This chapter provides a numerical procedure for solving the contour-integral reciprocity relation in Time Domain (TD) for the case of a loss-free, instantaneously-reacting planar circuit. Since the loss-free section of the circuit's rim constitutes the perfect magnetic wall with the vanishing tangential component of the magnetic field strength, such a structure cannot in principle radiate and may be viewed as a closed resonator. Within the tested input parameters, it was observed that the resulting numerical scheme is stable, provided that the relevant matrix elements are evaluated accurately enough to prevent error-accumulation instabilities. Starting from the reciprocity-based contour-integral formulation, the Time-Domain Contour-Integral Method (TD-CIM) has been formulated. TD-CIM may find its applications in TD modeling of various parallel-plane circuit topologies including passive planar circuits, thin microstrip antennas and in solving related signal/power integrity issues in multilayered Printed-Circuit Boards (PCBs).
