Computational Methods for Electromagnetics.pdf-资料库

qq_41122287-10192981-4744302543405936456.pdf-第1页.png

第1页 / 共573页

qq_41122287-10192981-4744302543405936456.pdf-第2页.png

第2页 / 共573页

qq_41122287-10192981-4744302543405936456.pdf-第3页.png

第3页 / 共573页

qq_41122287-10192981-4744302543405936456.pdf-第4页.png

第4页 / 共573页

qq_41122287-10192981-4744302543405936456.pdf-第5页.png

第5页 / 共573页

qq_41122287-10192981-4744302543405936456.pdf-第6页.png

第6页 / 共573页

qq_41122287-10192981-4744302543405936456.pdf-第7页.png

第7页 / 共573页

qq_41122287-10192981-4744302543405936456.pdf-第8页.png

第8页 / 共573页

COMPUTATIONAL METHODS FOR ELECTROMAGNETICS

IEEElOUP SERIES ON ELECTROMAGNETIC WAVETHEORY The IEEE/OUPSeries on Electromagnetic Wave Theoryconsistsof new titles as well as reprintings and revisions of recognized classics that maintainlong-term archival signifi cance in electromagnetic waves and applications. Series Editor DonaldG. Dudley University of Arizona Advisory Board RobertE. Collin CaseWestern Reserve University AkiraIshimaru University of Washington D.S. Jones University of Dundee Associate Editors Electromagnetic Theory, Scattering, and Diffraction Ehud Heyman Tel-Aviv University Differential Equation Methods AndreasC. Cangellaris University of Illinois Integral Equation Methods Donald R. Wilton University of Houston Antennas, Propagation, and Microwaves DavidR. Jackson University of Houston BOOKS IN THE IEEFlOUP SERIES ON ELECTROMAGNETIC WAVETHEORY Chew, W. C., Waves and Fields in Inhomogeneous Media Christopoulos, C., The Transmission-Line Modeling Methods: TLM Clemmow, P. C., The PlaneWave Spectrum Representation ofElectromagnetic Fields Collin,R. E., FieldTheory ofGuidedWaves, Second Edition Dudley, D. G., Mathematical Foundations for Electromagnetic Theory Elliot, R. S., Electromagnetics: History, Theory, and Applications Felsen,L. B., and Marcuvitz, N., Radiation and Scattering o/Waves Harrington, R. F., FieldComputation by MomentMethods Jones, D. S., Methods in Electromagnetic Wave Propagation, SecondEdition Lindell, I. V., Methods for Electromagnetic FieldAnalysis Tai,C. T., Generalized Vector and DyadicAnalysis: AppliedMathematics in FieldTheory Tai,C. T., DyadicGreen Functions in Electromagnetic Theory, SecondEdition Van Bladel,J., SingularElectromagnetic Fields and Sources Wait, J., Elecromagnetic Waves in Stratified Media

COMPUTATIONAL METHODS FOR ELECTROMAGNETICS ---,~--- IEEE PRESS Series on Electromagnetic Waves Andrew F. Peterson School ofElectricaland Computer Engineering Georgia Institute ofTechnology Scott L. Ray Modeling and Information Sciences Laboratory Dow AgroSciences Raj Mittra Department ofElectrical and Computer Engineering Pennsylvania State University IEEE Antennas & Propagation Society, Sponsor + IEEE • PRESS The Institute of Electrical and Electronics Engineers, Inc., NewYork Oxford University Press Oxford,Tokyo, Melbourne

This book and other books may be purchased at a discount from the publisher when ordered in bulk quantities. Contact: IEEE Press Marketing Attn: Special Sales Piscataway, NJ 08855-1331 Fax: (732) 981-9334 For more information about IEEE PRESS products, visit the IEEE Home Page: http://www.ieee.org/ © 1998 by the Institute of Electrical and Electronics Engineers, Inc. 345 East 47th Street, NewYork, NY 10017-2394 No partof thispublication may be reproduced, stored in a retrieval system or transmitted in any fonn or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107or 108of the 1976United States Copyright Act, without eitherthe priorwritten permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222Rosewood Drive, Danvers, MA01923, (978)750-8400, fax (978) 750-4470. Requests to the Publisher for permission should be addressed to the Permissions Department, JohnWiley & Sons,Inc., III River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008. 10 9 8 7 6 5 4 3 ISBN 0-7803-1122-1 IEEE Order Number: PCSS81 Library of Congress Cataloging-in-Publication Data Peterson, Andrew F., 1960- Computational methods for electromagnetics / Andrew F. Peterson, Scott L. Ray, Raj Mittra. p. cm. "IEEE Antennas & Propagation Society, sponsor.ft "IEEE Press series on electromagnetic waves." Includes bibliographic references and index. ISBN 0-7803-1122-1 1. Electromagnetism. 2. Numerical analysis. I. Ray,Scott L., . II. Mittra, Raj. 1957- Society. IV. Title. QC760.P48 1997 621.3'01'5194--dc21 III. IEEE Antennas and Propagation 97-39612 CIP

IEEE Press 445 Hoes Lane, P.O. Box 1331 Piscataway, NJ 08855-1331 Editorial Board Roger F. Hoyt, Editor in Chief John B. Anderson ~ M. Anderson M. Eden M. E. El-Hawary S. Furui A. H. Haddad R. Herrick G. F. Hoffnagle S. Kartalopoulos P. Laplante R. S. Muller W.D. Reeve D. J. Wells Kenneth Moore,DirectorofIEEE Press Karen Hawkins, SeniorAcquisition Editor Linda Matarazzo, AssistantEditor SurendraBhimani, Production Editor Cover Design: WilliamT. Donnelly, WT Design IEEEAntennas& Propagation Society,Sponsor APS Liaison to IEEE Press, Robert Mailloux Technical Reviewers Andreas C. Cangellaris, University of Illinois WilliamA. Davis,Virginia Tech Donald R. Wilton,University of Houston Oxford University Press Walton Street, Oxford OX2 6DP Oxford NewYork Athens Auckland Bangkok Bombay Calcutta Cape Town Dar es Salaam Delhi Florence HongKong Istanbul Karachi KualaLumpur Madras Madrid Melbourne MexicoCity Nairobi Paris Singapore Taipei Tokyo Toronto and associatedcompaniesin Berlin Ibadan Oxford is a trade mark of Oxford University Press

Contents PREFACE xvii ACKNOWLEDGMENTS xix CHAPTER 1 ELECTROMAGNETIC THEORY 1 I 10 4 6 1.1 Maxwell's Equations 1.2 1.3 1.4 1.5 1.6 1.7 Volumetric Equivalence Principle for Penetrable Scatterers General Description of a Scattering Problem 5 Source-Field Relationships in Homogeneous Space Duality Relationships Surface Equivalence Principle Surface Integral Equations for Perfectly Conducting Scatterers Volume Integral Equations for Penetrable Scatterers Surface Integral Equations for Homogeneous Scatterers 1.8 1.9 1.10 Surface Integral Equation for an Aperture 10 16 18 19 in a Conducting Plane 22 1.11 Scattering Cross Section Calculation 24 1.12 Scattering Cross Section Calculation for Two-Dimensional Problems for Three-Dimensional Problems 1.13 Application to Antenna Analysis 1.14 Summary References Problems 30 30 31 27 28 vii

viii Contents CHAPTER 2 INTEGRAL EQUATION METHODS FOR SCATTERING FROM INFINITE CYLINDERS 37 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 50 TM-Wave Scatteringfrom ConductingCylinders: EFIE Discretized with Pulse Basis and Delta Testing Functions 37 TE..Wave Scattering from ConductingCylinders: MAE Discretized with Pulse Basis and Delta TestingFunctions 45 Limitationsof Pulse BasislDelta TestingDiscretizations TE..Wave Scattering from Perfectly Conducting Stripsor Cylinders: EFIE Discretized withTriangle Basis and Pulse TestingFunctions 52 TM..Wave Scatteringfrom Inhomogeneous Dielectric Cylinders:Volume EFIE Discretizedwith Pulse Basis and Delta TestingFunctions 59 TE-Wave Scattering from DielectricCylinders: Volume EFIE Discretized with Pulse Basis and Delta TestingFunctions 65 TE-Wave Scatteringfrom Inhomogeneous Dielectric Cylinders:Volume MFIE Discretized with Linear Pyramid Basis and Delta TestingFunctions 70 Scattering fromHomogeneous Dielectric Cylinders: Surface Integral Equations Discretized with Pulse Basis and Delta Testing Functions 76 Integral Equations for Two-Dimensional Scatterers Having an ImpedanceSurface 80 2.10 Summary 85 85 References Problems 86 CHAPTER 3 DIFFERENTIAL EQUATIONMETHODS FOR SCATTERING FROM INFINITE CYLINDERS 95 3.1 WeakForms of the Scalar HelmholtzEquations 95 3.2 3.3 Incorporation of PerfectlyConducting Boundaries 98 Exact Near-ZoneRadiationCondition on a Circular Boundary 100 3.4 Outward-Looking Formulation Combining the Scalar HelmholtzEquation with the Exact Radiation BoundaryCondition 102 Example: TM-Wave Scattering from a DielectricCylinder 106 3.5

ConWn~ ~ 3.6 3.7 3.8 3.9 110 112 Scattering from Cylinders Containing Conductors Evaluation of Volumetric Integrals for the Matrix Entries Local Radiation Boundary Conditions on a Circular Surface: The Bayliss-Turkel Conditions Outward-Looking Formulation Combining the Scalar Helmholtz Equation and the Second-Order Bayliss-Turkel RBC 120 115 3.10 Exact Near-Zone Radiation Boundary Conditions for Surfaces of General Shape 125 3.11 Connection between the Surface Integral 3.12 3.13 128 and Eigenfunction RBCs Inward-Looking Differential Equation Formulation: The Unimoment Method Summary References Problems 135 136 130 137 CHAPTER 4 ALGORITHMS FOR THE SOLUTION OF LINEAR SYSTEMS OF EQUATIONS 143 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 143 146 149 146 Naive Gaussian Elimination Pivoting Condition Numbers and Error Propagation in the Solution of Linear Systems Cholesky Decomposition for Complex-Symmetric Systems Reordering Algorithms for Sparse Systems of Equations Banded Storage for Gaussian Elimination Variable-Bandwidth or Envelope Storage for Gaussian Elimination Sparse Matrix Methods Employing Dynamic Storage Allocation Frontal Algorithm for Gaussian Elimination Iterative Methods for Matrix Solution 160 156 158 150 4.9 4.10 4.11 The Conjugate Gradient Algorithm 161 for General Linear Systems 156 159 4.12 The Conjugate Gradient-Fast Fourier Transform 170 (CG-FFf) Procedure Fast Matrix-Vector Multiplication: An Introduction to the Fast Multipole Method Preconditioning Strategies for Iterative Algorithms Summary 175 179 4.13 4.14 4.15 178

资料库

Computational Methods for Electromagnetics.pdf

相关推荐

信息化

热门标签

最新资料