Methods for electromagnetic field analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
1992
|
| Schriftenreihe: | The Oxford engineering science series
30 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 290 S. graph. Darst. |
| ISBN: | 019856239X |
Internformat
MARC
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| 100 | 1 | |a Lindell, Ismo V. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Methods for electromagnetic field analysis |c Ismo V. Lindell |
| 264 | 1 | |a Oxford |b Clarendon Press |c 1992 | |
| 300 | |a XII, 290 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a The Oxford engineering science series |v 30 | |
| 490 | 0 | |a Oxford science publications | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Dyadic analysis | |
| 650 | 4 | |a Electromagnetic fields |x Mathematics | |
| 650 | 0 | 7 | |a Elektromagnetisches Feld |0 (DE-588)4014305-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mathematische Methode |0 (DE-588)4155620-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Elektromagnetisches Feld |0 (DE-588)4014305-3 |D s |
| 689 | 0 | 1 | |a Mathematische Methode |0 (DE-588)4155620-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a The Oxford engineering science series |v 30 |w (DE-604)BV001897240 |9 30 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-005459529 | ||
Datensatz im Suchindex
| _version_ | 1804122659978477568 |
|---|---|
| adam_text | Contents
1 Complex vectors 1
1.1 Notation 1
1.2 Complex vector identities 4
1.3 Parallel and perpendicular vectors 5
1.4 Axial representation 8
1.5 Polarization vectors 10
1.6 Complex vector bases 14
References 15
2 Dyadics 17
2.1 Notation 17
2.1.1 Dyads and polyads 17
2.1.2 Symmetric and antisymmetric dyadics 19
2.2 Dyadics as linear mappings 20
2.3 Products of dyadics 22
2.3.1 Dot product algebra 22
2.3.2 Double dot product 24
2.3.3 Double cross product 25
2.4 Invariants and inverses 28
2.5 Solving dyadic equations 30
2.5.1 Linear equations 31
2.5.2 Quadratic equations 33
2.5.3 Shearers 35
2.6 The eigenvalue problem 36
2.7 Hermitian and positive definite dyadics 39
2.7.1 Hermitian dyadics 39
2.7.2 Positive definite dyadics 40
2.8 Special dyadics 41
2.8.1 Rotation dyadics 41
2.8.2 Reflection dyadics 43
2.8.3 Uniaxial dyadics 44
2.8.4 Gyrotropic dyadics 45
viii CONTENTS
2.9 Two dimensional dyadics 47
2.9.1 Eigendyadics 48
2.9.2 Base dyadics 49
2.9.3 The inverse dyadic 50
2.9.4 Dyadic square roots 50
References 51
3 Field equations 53
3.1 The Maxwell equations 53
3.1.1 Operator equations 55
3.1.2 Medium equations 56
3.1.3 Wave equations 57
References 58
3.2 Fourier transformations 59
3.2.1 Fourier transformation in time 59
3.2.2 Fourier transformation in space 62
References 63
3.3 Electromagnetic potentials 63
3.3.1 Vector and scalar potentials 64
3.3.2 The Hertz vector 66
3.3.3 Scalar Hertz potentials 67
References 68
3.4 Boundary, interface and sheet conditions 69
3.4.1 Discontinuities in fields, sources and media 69
3.4.2 Boundary conditions 71
3.4.3 Interface conditions 74
3.4.4 Sheet conditions 77
3.4.5 Boundary and sheet impedance operators 81
References 83
3.5 Uniqueness 84
3.5.1 Electrostatic problem 85
3.5.2 Scalar electromagnetic problem 86
3.5.3 Vector electromagnetic problem 88
References 88
3.6 Conditions for medium parameters 89
3.6.1 Energy conditions 89
3.6.2 Reciprocity conditions 93
References 94
CONTENTS ix
4 Field transformations 97
4.1 Reversal transformations 97
4.1.1 Polarity reversal 97
4.1.2 Time reversal 98
4.1.3 Space inversion 99
4.1.4 Transformations of power and impedance 99
References 99
4.2 Duality transformations 100
4.2.1 Simple duality 100
4.2.2 Duality transformations for isotropic media 100
4.2.3 Left hand and right hand transformations 101
4.2.4 Application of the duality transformations 103
4.2.5 Self dual problems 105
4.2.6 Self dual field decomposition 107
4.2.7 Duality transformations for bi isotropic media 110
References 112
4.3 Affine transformations 112
4.3.1 Transformation of fields and sources 113
4.3.2 Transformation of media 115
4.3.3 Invohitory affine transformations 116
4.4 Reflection transformations 117
4.4.1 Invariance of media 117
4.4.2 Electric and magnetic reflections 118
4.4.3 The mirror image principle 119
4.4.4 Images in parallel planes 121
4.4.5 Babinet s principle 122
References 124
5 Electromagnetic field solutions 125
5.1 The Green function 125
5.1.1 Green dyadics of polynomial operators 126
5.1.2 Examples of operators 128
References 129
5.2 Green functions for homogeneous media 129
5.2.1 Isotropic medium 129
5.2.2 Bi isotropic medium 132
5.2.3 Anisotropic medium 133
References 137
x CONTENTS
5.3 Special Green functions 138
5.3.1 Two dimensional Green function 138
5.3.2 One dimensional Green function 140
5.3.3 Half space Green function 141
References 141
5.4 Singularity of the Green dyadic 142
5.4.1 Constant volume current 142
5.4.2 Constant planar current sheet 144
5.4.3 Singularity for a volume source 146
5.4.4 Singularity for a surface source 147
References 148
5.5 Complex source point Green function 148
5.5.1 Complex distance function 149
5.5.2 Point source in complex space 150
5.5.3 Green function 151
References 153
5.6 Plane waves 154
5.6.1 Dispersion equations 154
5.6.2 Isotropic medium 156
5.6.3 Bi isotropic medium 156
5.6.4 Anisotropic medium 157
References 163
6 Source equivalence 165
6.1 Non radiating sources 165
6.1.1 Electric sources in isotropic medium 165
6.1.2 Sources in bianisotropic media 168
References 169
6.2 Equivalent electric and magnetic sources 170
6.2.1 Bianisotropic medium 170
6.2.2 Isotropic medium 171
6.2.3 Chiral medium 173
References 174
6.3 Multipole sources 174
6.3.1 Delta expansions 175
6.3.2 Multipole expansion 176
6.3.3 Dipole approximation of a multipole source 178
6.3.4 Electric and magnetic dipole approximation 181
References 181
CONTENTS xi
6.4 Huygens sources 182
6.4.1 The truncated problem 182
6.4.2 Huygens principle 183
6.4.3 Consequences of Huygens principle 185
6.4.4 Surface integral equations 187
6.4.5 Integral equations for bodies with impedance surface 189
6.4.6 Integral equations for material bodies 191
References 191
6.5 TE/TM decomposition of sources 192
6.5.1 Decomposition identity 193
6.5.2 Line source decomposition 194
6.5.3 Plane source decomposition 196
6.5.4 Point source decomposition 197
References 197
7 Exact image theory 199
7.1 General formulation for layered media 199
7.1.1 Fourier transformations 199
7.1.2 Image functions for reflection fields 205
7.1.3 Image functions for transmission fields 214
7.1.4 Green functions 218
References 223
7.2 Surface problems 224
7.2.1 Impedance surface 224
7.2.2 Impedance sheet 228
7.2.3 Wire grid 231
References 235
7.3 The Sommerfeld half space problem 235
7.3.1 Reflection coefficients 236
7.3.2 Reflection image functions 238
7.3.3 Antenna above the ground 247
7.3.4 Transmission coefficients 249
7.3.5 Transmission image functions 250
7.3.6 Radiation from a loop antenna into the ground 255
7.3.7 Scattering from an object in front of an interface 257
References 259
7.4 Microstrip geometry 260
7.4.1 Reflection coefficients and image functions 260
7.4.2 Fields at the interface 267
xii CONTENTS
7.4.3 The guided modes 271
7.4.4 Properties of the Green functions 272
References 274
7.5 Anisotropic half space 275
References 279
Appendix A Dyadic identities 280
Author index 285
Subject index 287
|
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| id | DE-604.BV008265349 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:17:24Z |
| institution | BVB |
| isbn | 019856239X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005459529 |
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| owner_facet | DE-703 DE-384 DE-91 DE-BY-TUM DE-29T DE-634 DE-20 DE-83 DE-11 |
| physical | XII, 290 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Clarendon Press |
| record_format | marc |
| series | The Oxford engineering science series |
| series2 | The Oxford engineering science series Oxford science publications |
| spelling | Lindell, Ismo V. Verfasser aut Methods for electromagnetic field analysis Ismo V. Lindell Oxford Clarendon Press 1992 XII, 290 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Oxford engineering science series 30 Oxford science publications Mathematik Dyadic analysis Electromagnetic fields Mathematics Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Elektromagnetisches Feld (DE-588)4014305-3 s Mathematische Methode (DE-588)4155620-3 s DE-604 The Oxford engineering science series 30 (DE-604)BV001897240 30 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005459529&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lindell, Ismo V. Methods for electromagnetic field analysis The Oxford engineering science series Mathematik Dyadic analysis Electromagnetic fields Mathematics Elektromagnetisches Feld (DE-588)4014305-3 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4014305-3 (DE-588)4155620-3 |
| title | Methods for electromagnetic field analysis |
| title_auth | Methods for electromagnetic field analysis |
| title_exact_search | Methods for electromagnetic field analysis |
| title_full | Methods for electromagnetic field analysis Ismo V. Lindell |
| title_fullStr | Methods for electromagnetic field analysis Ismo V. Lindell |
| title_full_unstemmed | Methods for electromagnetic field analysis Ismo V. Lindell |
| title_short | Methods for electromagnetic field analysis |
| title_sort | methods for electromagnetic field analysis |
| topic | Mathematik Dyadic analysis Electromagnetic fields Mathematics Elektromagnetisches Feld (DE-588)4014305-3 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Mathematik Dyadic analysis Electromagnetic fields Mathematics Elektromagnetisches Feld Mathematische Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005459529&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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