Pulsed EM Field Computation in Planar Circuits

Martin Stumpf

Introduction. Basic formulation. Instantaneously-reacting planar circuits. Relation to the classic CIM. Rectangular planar circuits with relaxation. Arbitrarily-shaped planar circuits with radiation loss and relaxation. Inclusion of linear lumped elements. Far-field radiation characteristics. Time-domain mutual coupling between planar circuits 81. Time-domain self-reciprocity of a one-port planar circuit. Th´evenin’s circuit of an N-port planar circuit. Time-domain radiated susceptibility of a planar circuit. Scattering reciprocity properties of an N-port planar circuit. Scattering of conductive and dielectric inclusions. The time-domain compensation contour integral method. Modeling of shorting via structures. A Integrals of the logarithmic function. B Implementation of TD-CIM. C Implementation of FD-CIM. D Implementation of the admittance-wall boundary condition. E Implementation of lumped-element arrays. F The bell-shaped pulse. G Expansion functions. H Green’s function of the dissipative scalar 2D wave equation. I Numerical inversion of the Laplace transformation. J Green’s function of the scalar 2D wave equation with relaxation. References. Index.