ABSTRACT

The two-dimensional circuit model with the ideal open-circuit boundary represents a loss-free resonator whose Time Domain response never subsides. In order to set up a more realistic computational model, one can account for relaxation and dissipation effects of the dielectric layer and radiation loss. Several types of dielectric relaxation functions describing material losses in the dielectric layer are discussed and implemented into Time-Domain Contour-Integral Method (TD-CIM). In order to incorporate the radiation loss and relaxation behavior of a planar circuit into TD-CIM, two of its extensions have been proposed. The first extension introduces the admittance-wall concept via a Dirichletto-Neumann boundary condition, relating the electric field component to its normal derivative on the circuit periphery. The numerical results concerning the simplest possible instantaneously-reacting edge admittance have indicated the improvement with respect to the standard model incorporating the magnetic-wall boundary condition.