Pulsed EM Field Computation in Planar Circuits The Contour Integral Method

The pulsed EM characterization of planar circuits is of high practical importance in many areas of science and engineering such as electromagnetic compatibility and antenna design. This book is hence devoted to the mathematical formulation and numerical analysis of arbitrarily-shaped parallel-plane structures concerning their pulsed EM propagation, radiation and scattering behavior. The key emphasis is on the time-domain reciprocity-based integral-equation formulations and their efficient numerical solution.

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.

Martin Stumpf