Field Computation by Moment Methods

【实例简介】
计算电磁场领域的经典教材，值得详细研读，学习有限元的可以下载
Field computation Moment methods Roger FⅢ arrington Syracuse Universit IEEE PRESS IEEE PRESS Series on Electromagnetic Waves Donald G. Dudley, Series Editor IEEE Antennas and Propagation Society, Sponsor The Institute of Electrical and Electronics Engineers. Inc. New York 45 Hoes Lane. P(BoX 33l Piscataway, NJ 08855-1331 1992 Editorial board william Perkins, Editor in Chief K.K. Agarwal G F. Hoffnagle A C. Schell R.S,围licq J, D. Irwin FFTw R CDor A Michel M Simaan D. M. Etter E. K. Miller Sunahara J J. Farrell li m. f moura d.i, wells K. Hess J G. Nagle Dudley R, Kay, Executive Editor Carrie briggs, administrative assistant Karen G. Miller, Production editor IEEE Antennas and Propagation Society, sponsor AP-S Liaison to IEEE PRESS Robert i mailloux Rome Laboratory, ERI Hanscom aFB This book may be purchased at a discount from the publisher E when ordered in bulk quantities, For more information contact IEEE PRESS Marketing Attn: Special sales PO Box 1331 445 Hoes Lane Piscataway, NJ 08855-1331 Fax:(908)1-8062 This is the IEEE edition of a book originally published by Macmillan Publishing Company, and subsequently kept in print by kreger Publishing Company under the title Field CompetAtion by Moment Merhoxls o 1993 by Roger F. Harrington nor may it be stored in a retrieval system or transmitted in any forp All rights reserved. No part of this book may be reproduced in any fo without written permission fromn the publisher printed in the united stares of america 1098765432I ISBN非7803-10144 IEEE Order Numher: Pc0364-2 Library of Congress-Cataloging-in-Publication Data Harington, Roger F. Field computation by moment methods/by Roger F. Harrington IEEE Antennas and Propagation Socicty,sponsor Originally published: Malabar, Fla.: R E. Krieger,1968 Includes bibliographical references and index IBN7803-1014-4 1. Physics- Data processing. 2. Electromagnetic theory--Dala processing, 3, Unified field theory-Dala pRocessing I. IEEE Antennas and Propagation Socicty. II. Title. C52.H37 530.14I0285—dc20 937u6 "I■ Contents C夏蠱PTER置 ferminˉ吧更『obl吧面ˉ 1-1. Introduction I 1-2. Formulation of problems 2 1-3. Method of Moments 5 14. Point Matching 1-5. Subsectional bases II 1-6. Approximate Operators I4 1-7. Extended Operators I5 1-8, Variational Interpretation 18 -9. Perturbation Solutions 19 Hlctrontatle置eld 22 2-1. Operator Formulation 22 2-2. Charged Conducting Plate 24 2-3. Conductors of Complex Shape 28 2-4. Arbitrary Excitation of Conductors 31 2-5. Electric Polarizability 35 2-6. Dielectric Bodies 38 ⅢAPTB器 rWD】msl。Iect0 mantIc Field 4 3-1. Transverse Magnetic Fields 41 3-2. Conducting Cylinders, TM Case 42 3-3. Various Approximations 47 3-4. Transverse Electric Fields 49 3-5. Conducting Cylinders, TE Case 50 3-6. Alternative Formulation 55 3-7. Dielectric Cylinders 58 YI CHAPER wIre An围垂mdS吧t 4-1. Formulation of the Problem 62 42. Matrix Solution 64 4-3. Evaluation of Z 67 4-4, Wire Antennas 68 4-5. Wire scatte 75 4-6. Discussion cⅢPT显B舌 Gencrnllred Metwork Paramete了料 5-1. Conducting Bodies 82 5-2. Point-fed Antennas 89 5-3. Conducting Scatterers 5-4. Aperture Antennas 95 5-5. Dielectric Bodies 97 5-6. Magnetic Bodies 99 5-7. Bodies both Magnetic and Dielectric 101 CHIAPTE匙曝 uniport&y瓶m 1矿 6-1. Network Representation /07 6-2. Loaded Antennas o 6-3. Loaded Scatterers 15 6-4. Multiple Feeds and Loads 120 6-5. Multiply Loaded Scatterers 123 CHAP1〓R 智晶u吧Proh吧醒 L悲6 7-1. Introduction 26 7-2. Method of moments 27 7-3. Nonuniform Transmission Lines /32 7-4. Second-order Differential Operator 134 7-5, First-order Differential Operator 136 7-6. Extended Operators 147 ⅢADTE建吕 Cy]mdre瞧Wve衔u面de 8-1. Second-order Differential Equation 151 8-2, Second-order Difference Operator 152 8-3, Moment Solutions 157 8-4. Extended Operators 161 8-5. First-order Differential Equations 162 8-6. Moment Solutions 164 8-7. Extended Operators 166 8-8. Use of Generalized Impedances 167 Cavity酶Dr醒 ⊥TP 9-1. Statement of the Problem /72 9-2 Moment Solution /74 9-3. Plasma-filled Rectangular Cavity 179 9-4. Numerical Results 182 9-5. Discussion 83 CHAPTER 10 OptImizaton 10-1. Hermitian Forms /8 10-2. Optimization Procedure 9 10-3 Antenna Gain 94 10-4. Absorption Area 202 10-5. Bandwidth and Q 204 10-6. Experimental Gain Optimization 207 AppendIs A. Linear Spaces and Mapping 213 Appendix B. Matrix Inversion 2/8 Appendix C, Matrix Eigenvalue and Eigenvectors 221 mdc工 225 Preface Before the advent of high speed computers, it was advantageous to expend con- siderable effort to manipulate solutions analytically into a form which mini- mized the subsequent computational effort. It is now often more convenient to use methods which are analytically simple, but require large amounts of com- putation. Furthermore, many problems of practical interest can be solved only by the use of such methods. Because of the fantastic speed and storage capabili- ties of modern computers, almost any problem of linear analysis can be solved to some degree of accuracy. In fact, computer programs can be written for entire classes of problems, as, for example, wires of arbitrary shape with arbi- trary excitation and loading( Chapter 4). This monograph attempts to present a unified approach to the solution of field problems using computers. The methods are general, applying to fields of any type, but the examples are taken from electromagnetic theory, The material is introduced primarily by application of the theory, and the reader should not expect to find rigorous proofs and theorems. References to other literature are provided for that purpose. It is hoped that this approach will enable the reader to learn the various techniques in minimum time. Furthermore, since the details of solution vary greatly from problem to problem, only by many examples can one gain the insight needed to treat new problems. There is an art to choosing a good solution, and this art is learned through experience The unifying concept for this text is the method of moments. This is a ver general concept, and almost any solution, analytical or numerical, can be inter- preted by it. For example, the classical eigenfunction approach corresponds to the particular choice of eigenfunctions for expansion and testing. The Rayleigh Ritz variational method and Galerkins method are closely related to it, and so on. It is the author' s conviction that the moment method, approached from the standpoint of function spaces and linear operators, is the best way to present the general theory. Particular cases are then interpreted within this general framework The text is divided into two main parts, one on deterministic problems and the other on eigenvalue problems. Chapter 1 gives a discussion of the method of moments and of the various approximations that are applicable. Chapter 2 uses some of these for electrostatic problems, Chapter 3 for some two-dimensional field problems, and Chapter 4 for three-dimensional problems of wire antennas and scatterers, Chapter 5 discusses the general formulation of electromagnetic problems in terms of generalized network parameters. This approach should appeal to electrical engineers because of their familiarity with network theory. Chapter 6 considers the multiport problem, that is, structures having several ports for excitation, measurement, and loading, Chapter 7 discusses the eigen- value problem according to the method of moments, using the nonuniform transmission line as an example. Chapter 8 applies these techniques to wave guides of arbitrary cross section, and Chapter g to resonant cavities containing arbitrary media. The final chapter considers the problem of optimization, and shows that it reduces to an eigenvalue problem The theory is best expressed in the language of linear function spaces, but an attempt has been made to minimize its use. The concepts that are needed are defined and illustrated when they are introduced. A summary of the general structure of linear spaces is given in Appendix A. A computational algorithm for the inversion of matrices is given in Appendix B, and one for the evaluation of matrix eigenvalues and eigenvectors is given in Appendix C. For a better understanding of this appended material the reader is advised to consult addi tional references Much of the material of this monograph has resulted from work performed at Syracuse University by the author and his students, The following were major contributors: Joseph Mautz, Radha Gupta, Thomas Bristol, and Robert Wallenberg Discussions with various faculty colleagues were also most helpful The manuscript was typed by two very efficient secretaries, Mary Jo Fairbanks and Louise Capra. Research support was provided by several contracts and grants from the Rome Air Development Center and the National Science Foundation. The author expresses his sincere thanks to everyone who has aided in the development of this book Roger F. Harrington CⅢAPTE Deterministic Problems -l. ntrormetion The use of high-speed digital computers not only allows more computations to be made than ever before, it makes practicable methods of solution too repet- tious for hand calculation. In the past much efort was expended to analytically manipulate solutions into forms which minimized the computational effort. It is now often more convenient to use computer time to reduce the analytical effort Approximation techniques, once considered a last resort, can be carried to such high orders on computers that they are for most purposes as good as exact answers. They also permit treatment of problems not solvable by exact methods. This text has been written to provide a unified treatment of matrix methods for computing the solutions to field problems. The basic idea is to reduce a functional equation to a matrix equation, and then solve the matrix equation by known techniques. These concepts are best expressed in the language of linear spaces and operators. However, it is not necessary that the reader have prior knowledge of this theory, because we shall define and illustrate the concepts as they are introduced. A brief summary of linear spaces and operators is given in Appendix A. Detailed expositions may be found in many textbooks [1-3 In this chapter we consider equations of the inhomogeneous type L()=g (1-1) I Bracketed numbers refer to the References at the end of each chapter. 【实例截图】
【核心代码】