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Quick Finite Elements for Electromagnetic Waves PDF

311 Pages·2009·4.05 MB·English
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Quick Finite Elements for Electromagnetic Waves Second Edition ART Pelosi FM Page i − 04/22/2009, 12:36 MTC DISCLAIMER OF WARRANTY The technical descriptions, procedures, and computer programs in this book have been developed with the greatest of care and they have been useful to the author in a broad range of applications; however, they are provided as is, without warranty of any kind. Artech House, Inc. and the author and editors of the book titled Quick Finite Elements for Electromagnetic Waves, Second Edition make no warranties, expressed or implied, that the equations, pro- grams, and procedures in this book or its associated software are free of error, or are consistent with any particular standard of merchantability, or will meet your requirements for any particular application. They should not be relied upon for solving a problem whose incorrect solution could result in injury to a person or loss of property. Any use of the programs or procedures in such a manner is at the users own risk. The editors, author, and publisher disclaim all liability for direct, incidental, or consequent damages resulting from use of the programs or procedures in this book or the associated software. For a list of recent titles in the Artech House Electromagnetic Analysis Series, turn to the back of this book. ART Pelosi FM Page ii − 04/22/2009, 12:36 MTC Quick Finite Elements for Electromagnetic Waves Second Edition Giuseppe Pelosi Roberto Coccioli Stefano Selleri artechhouse.com ART Pelosi FM Page iii − 04/22/2009, 12:36 MTC Library of Congress Cataloging-in-PublicationData Acatalog record for this book is availablefrom the U.S. Library of Congress. British Library Cataloguingin Publication Data Acataloguerecord for this book is availablefrom the British Library. ISBN-13: 978-1-59693-345-3 Coverdesign by Igor Valdman. (cid:2)c 2009 ARTECHHOUSE, INC. 685 CantonStreet Norwood, MA02062 All rights reserved. Printed and bound in the United States of America. No part of this book maybereproducedor utilizedin anyform or byanymeans, electronicor mechanical, including photocopying, recording, or by any information storage and retrievalsystem, without permission in writing from the publisher. All terms mentioned in this book that are known to be trademarks or service marks have been appropriately capitalized. Artech House cannot attest to the accuracyof this information. Use of a term in this book should not be regarded as affectingthe validity of any trademark or service mark. 10 9 8 7 6 5 4 3 2 1 Disclaimer: This eBook does not include the ancillary media that was packaged with the original printed version of the book. ART Pelosi FM Pageiv − 04/22/2009, 12:36 MTC To Peter P. Silvester ART Pelosi FM Pagev − 04/22/2009, 12:36 MTC ART Pelosi FM Pagevi − 04/22/2009, 12:36 MTC Contents Preface xi Preface to the First Edition xiii How to Use Quick FEM xv PART I Two Dimensions 1 CHAPTER 1 Getting Started: Shielded Microstrip Lines 3 1.1 First Step: Preprocessing 7 1.2 Second Step: Building Element Matrices 12 1.3 Third Step: Assembling the Global Matrix 15 1.4 Fourth Step: Minimizing the Functional 17 1.5 Fifth Step: Postprocessing 19 1.6 Variational or Projective? 22 References 23 CHAPTER 2 Tools 25 2.1 Preprocessing 25 2.1.1 Input Geometry Description File 26 2.1.2 Output Mesh Description File 30 2.1.3 Mesh Regularization 32 2.1.4 Numbering Optimization 33 2.2 Element Matrices 35 2.2.1 Nodal Elements 36 2.2.2 Vector Elements 44 2.3 Global Matrices 46 2.3.1 The Band Storage Mode 47 2.3.2 The Sparse Storage Mode 48 2.4 Solving the Entire Problem 49 2.5 Postprocessing 49 2.6 The Matlab Framework 51 2.6.1 Using the Interface 53 2.6.2 The Data Framework 54 2.6.3 How to Code Yourself 55 2.7 Disc Description and Installation 56 vii ART Pelosi FM Pagevii − 04/22/2009, 12:36 MTC viii Contents 2.7.1 FORTRAN Framework 56 2.7.2 Matlab Framework 57 References 57 CHAPTER 3 Microwave Guiding Structures: Characterization 59 3.1 Homogeneous Waveguides 59 3.2 Inhomogeneous Waveguides 64 3.3 Inhomogeneous Waveguides: Formulation 65 3.4 Numerical Implementation 69 3.5 The Code WG: Waveguides 71 3.6 Some Examples 74 3.7 Disc Content 80 3.7.1 FORTRAN 80 3.7.2 Matlab 80 References 81 CHAPTER 4 Microwave Guiding Structures: Devices and Circuits 83 4.1 The Finite Element----Modal Expansion Formulation: H-Plane Case 84 4.2 The Finite Element----Modal Expansion Formulation: E-Plane Case 87 4.3 Implementation 89 4.4 The Code EHDEV 92 4.5 Some Examples 96 4.6 Disc Content 101 4.6.1 FORTRAN 101 4.6.2 MATLAB 102 References 103 CHAPTER 5 Scattering and Antennas: Hybrid Methods 105 5.1 Scattering by a Periodic Structure: Formulation 107 5.2 Numerical Implementation 114 5.3 The Code GRATING 116 5.4 Some Examples 118 5.5 Disc Content 125 5.5.1 FORTRAN 125 5.5.2 Matlab 125 References 126 CHAPTER 6 Scattering and Antennas: Absorbing Boundary Conditions 129 6.1 Analytic ABC 130 6.2 Scattering Problems: Formulation with Analytic ABC 132 ARTPelosi FM Pageviii − 04/22/2009, 12:36 MTC Contents ix 6.3 Analytic ABC: Implementation 134 6.4 The Concept of Perfectly Matched Anisotropic Absorber 136 6.5 Antenna Problems: Formulation Using PMA 140 6.6 PMA Implementation 143 6.7 The Code CYL 144 6.8 Code CYL: Some Examples 146 6.9 The Code OWG 149 6.10 Code OWG: Some Examples 152 6.11 Disc Content 158 6.11.1 FORTRAN 159 6.11.2 Matlab 160 References 160 PART II Three Dimensions 163 CHAPTER 7 Finite Elements in Three Dimensions 165 7.1 Preprocessing 165 7.1.1 Input Geometry Description File 166 7.1.2 Output Mesh Description File 170 7.2 Element Matrices 172 7.2.1 Nodal Elements 174 7.2.2 Vector Elements 181 7.3 Global Matrices 186 7.4 Solving the Linear System of Equations 186 7.5 Disc Content 188 7.5.1 3D-PART II 188 References 189 CHAPTER 8 Resonant Cavities 191 8.1 Formulation of the Three-Dimensional Eigenvalue Problem 191 8.2 Numerical Implementation 197 8.3 The Code Cavity 198 8.4 Code Cavity: Some Examples 200 8.5 Disc Content 208 References 208 CHAPTER 9 Waveguide Devices 211 9.1 Opening the Cavity: Formulation 211 9.2 Numerical Implementation 219 9.3 The Code WDEV 223 9.4 Some Examples 230 ART Pelosi FM Pageix − 04/22/2009, 12:36 MTC

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The classic 1998 Artech House book, ''Quick Finite Elements for Electromagnetic Waves'', has now been revised and expanded to bring microwave and antenna engineers up-to-date with the latest developments in the field. Practitioners find brand new discussions on important, cutting-edge topics, includ
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