Quick Finite Elements for Electromagnetic Waves

311 Pages·2009·4.05 MB·English

by  Giuseppe Pelosi

Quick Finite Elements
for Electromagnetic Waves
Second Edition
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Artech House Electromagnetic Analysis Series,
turn to the back of this book.
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Quick Finite Elements
for Electromagnetic Waves
Second Edition
Giuseppe Pelosi
Roberto Coccioli
Stefano Selleri
artechhouse.com
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Library of Congress Cataloging-in-PublicationData
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British Library Cataloguingin Publication Data
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ISBN-13: 978-1-59693-345-3
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To Peter P. Silvester
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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
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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
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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
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