 | Pelosi G. Quick finite elements for electromagnetic waves / G.Pelosi, R.Coccioli, S.Selleri. - 2nd ed. - Norwood; London: Artech House, 2009. - xvii, 289 p.: ill. + 1 CD-ROM (4 3/4 in.). - Incl. bibl. ref. - Ind.: p.279-289. - ISBN-10 1-59693-345-3; ISBN-13 978-1-59693-345-3
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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
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
6.1 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
9.5 Disc Content ............................................. 236
References .................................................... 236
PART III
To Probe Further .............................................. 239
CHAPTER 10
Selected Bibliography ......................................... 241
10.1 Books .................................................... 241
10.2 Scientific Literature .................................... 243
10.2.1 Fundamental Issues ................................ 243
10.2.2 Microwave Circuits and Devices .................... 245
10.2.3 Radial Propagation ................................ 247
10.3 Advanced Topics and Methodologies in Finite Elements ..... 250
References .................................................... 253
About the Authors ............................................. 275
Index ......................................................... 279
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