Pulsed Em Field Computation in Planar Circuits: The Contour Integral Method

Description

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. Content: ContentsIntroduction Synopsis Basic conventions Acronyms Basic formulation 2D model of a planar circuit ConclusionsInstantaneously-reacting planar circuitsNumerical solution of the reciprocity formulation Analytical solutions based on the eigenfunction expansionValidation of numerical results Comparison with an alternative numerical technique Conclusions Relation to the classic CIM Basic CIM formulation Point-matching solution Pulse-matching solution Numerical results ConclusionsRectangular planar circuits with relaxation Modal and ray-like TD expansions Conduction-loss dielectric relaxation Debye's dielectric relaxation Numerical results Conclusions Arbitrarily-shaped planar circuits with radiation loss and relaxationFormulation of the admittance-wall condition Inclusion of relaxation behavior Numerical results ConclusionsInclusion of linear lumped elements General formulation Inclusion of a resistor Inclusion of an inductor Inclusion of a capacitor Numerical results Conclusions Far-field radiation characteristics Radiation model of a planar circuit Evaluation of the radiation integral Numerical results Conclusions Time-domain mutual coupling between planar circuits 81EM coupling model A single planar circuit Coupling between two planar circuitsAn illustrative numerical example Conclusions Time-domain self-reciprocity of a one-port planar circuit Model definition Transmitting state of a planar circuitReceiving state of a planar circuit Reciprocity relationsNumerical results Conclusions Th'evenin's circuit of an N-port planar circuit Model definition Transmitting state of an N-port planar circuit Receiving states of an N-port planar circuit Reciprocity analysis for the incident plane wave Reciprocity analysis for the incident wave field generated by known sources An illustrative example Numerical results Conclusions Time-domain radiated susceptibility of a planar circuit Reciprocity relations Numerical results Conclusions Scattering reciprocity properties of an N-port planar circuit Model definition Receiving situations of an N-port planar circuit Reciprocity relations Numerical results Conclusions Scattering of conductive and dielectric inclusions Problem definition Generic reciprocity relation TD compensation theorems Application of the TD compensation theorems Numerical results Conclusions The time-domain compensation contour integral methodProblem formulation Problem solution Numerical results Conclusions Modeling of shorting via structures Problem definition Problem solution Numerical results Conclusions A Integrals of the logarithmic function B Implementation of TD-CIM Geometry of the circuit pattern Numerical integration Computation of excitation array F Computation of system array Q Step-by-step updating procedure Evaluation of the response in C Implementation of FD-CIM Computation of U and H matrices D Implementation of the admittance-wall boundary condition E Implementation of lumped-element arrays Inclusion of a resistor Inclusion of an inductorInclusion of a capacitor Modification of the system array Q F The bell-shaped pulseG Expansion functions Linear expansion functions Quadratic expansion functions Cubic expansion functions H Green's function of the dissipative scalar 2D wave equation I Numerical inversion of the Laplace transformationJ Green's function of the scalar 2D wave equation with relaxationReferences Index