Pulsed EM Field Computation in Planar Circuits: The Contour Integral Method, 1st Edition (Hardback) book cover

Pulsed EM Field Computation in Planar Circuits

The Contour Integral Method, 1st Edition

By Martin Stumpf

CRC Press

244 pages | 4 Color Illus. | 92 B/W Illus.

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Hardback: 9781138735248
pub: 2018-06-01
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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.

Table of Contents

Contents

Introduction

Synopsis

Basic conventions

Acronyms

Basic formulation

2D model of a planar circuit

Conclusions

Instantaneously-reacting planar circuits

Numerical solution of the reciprocity formulation

Analytical solutions based on the eigenfunction expansion

Validation 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

Conclusions

Rectangular 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 relaxation

Formulation of the admittance-wall condition

Inclusion of relaxation behavior

Numerical results

Conclusions

Inclusion 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 81

EM coupling model

A single planar circuit

Coupling between two planar circuits

An illustrative numerical example

Conclusions

Time-domain self-reciprocity of a one-port planar circuit

Model definition

Transmitting state of a planar circuit

Receiving state of a planar circuit

Reciprocity relations

Numerical 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 method

Problem 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 inductor

Inclusion of a capacitor

Modification of the system array Q

F The bell-shaped pulse

G 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 transformation

J Green’s function of the scalar 2D wave equation with relaxation

References

Index

Subject Categories

BISAC Subject Codes/Headings:
TEC041000
TECHNOLOGY & ENGINEERING / Telecommunications