Analytical techniques in electromagnetics:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Boca Raton
CRC Press, Taylor & Francis Group
[2016]
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Includes bibliographical references (page 241) and index |
Beschreibung: | xx, 246 pages illustrations (some color) 25 cm |
ISBN: | 9781498709019 |
Internformat
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500 | |a Includes bibliographical references (page 241) and index | ||
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650 | 4 | |a Electromagnetic fields |x Mathematical models | |
650 | 4 | |a Magnetic materials |x Mathematical models | |
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Datensatz im Suchindex
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adam_text | Titel: Analytical techniques in electromagnetics
Autor: Sadiku, Matthew N. O
Jahr: 2016
Contents
List of Figures ix
List of Tables xiii
Preface xv
Authors xix
1 Review of Electromagnetics 1
1.1 Maxwell s Equations....................... 2
1.2 Constitutive Relations...................... 3
1.3 Boundary Conditions ...................... 5
1.4 Power and Energy........................ 6
1.5 Vector and Scalar Potentials .................. 7
1.6 Time Harmonic Fields...................... 11
1.7 Wave Equations ......................... 12
1.8 Diffusion Equation........................ 13
1.9 Classification of EM Problems ................. 14
1.9.1 Classification of Solution Regions............ 14
1.9.2 Classification of Differential Equations......... 14
1.9.3 Classification of Boundary Conditions......... 18
References ............................... 20
Problems ................................ 20
2 Separation of Variables 23
2.1 Conditions for Complete Separability ............. 24
2.2 Rectangular Coordinates .................... 26
2.2.1 Laplace s Equation.................... 26
2.2.2 Heat Equation...................... 33
2.2.3 Wave Equation...................... 34
2.3 Cylindrical Coordinates..................... 36
2.3.1 Laplace s Equation.................... 36
2.3.2 Diffusion Equation.................... 44
2.3.3 Wave Equation...................... 45
2.4 Spherical Coordinates...................... 48
2.4.1 Laplace s Equation.................... 48
2.4.2 Heat Equation...................... 54
2.4.3 Wave Equation...................... 55
vi Contents
2.5 Conclusion ............................ 60
References ............................... 60
Problems ................................ 61
3 Series Expansion Method 63
3.1 Generalized Fourier Series ................... 64
3.2 Poisson s Equation in a Cube.................. 65
3.3 Poisson s Equation in a Cylinder................ 67
3.4 Strip Transmission Line..................... 70
3.5 Scattering by a Conducting Cylinder ............. 73
3.6 Scattering by a Dielectric Sphere................ 77
3.7 Conclusion ............................ 82
References ............................... 82
Problems ................................ 83
4 Conformal Transformation 85
4.1 Complex Variables........................ 86
4.2 Functions of a Complex Variable................ 88
4.3 Derivative of a Complex Function ............... 90
4.4 Conformal Mapping....................... 93
4.5 Complex Electric Potential ................... 98
4.6 Coplanar Strips at Fixed Potentials .............. 105
4.7 Evaluation of Capacitance per Unit Length.......... Ill
4.8 The Schwarz-Christoffel Transformation ........... 119
4.9 Strip Lines and Microstrip Lines................ 127
4.9.1 Strip Line......................... 128
4.10 Strip with Finite Ground Plane ................ 132
4.11 Strip Line with Elliptical Center Conductor.......... 138
4.12 Conclusion ............................ 143
References ............................... 144
Problems ................................ 144
5 Transform Methods 149
5.1 The Fourier Transform ..................... 150
5.1.1 Properties of the Fourier Transform.......... 152
5.2 The Fourier Sine and Cosine Transforms ........... 164
5.3 The Hankel Transform ..................... 176
5.3.1 Properties of the Hankel Transform .......... 177
5.4 The Mellin Transform...................... 192
5.4.1 Properties of the Mellin Transform........... 193
5.5 Laplace Transform........................ 198
5.5.1 Properties of the Laplace Transform.......... 200
5.6 Conclusion ............................ 204
References ............................... 205
Problems ................................ 205
Contents vii
6 Perturbation Methods 209
6.1 Introduction ........................... 209
6.2 The Underlying Technique ................... 210
6.3 Electromagnetic Cavities .................... 220
6.3.1 Formulas Based on Vector Identities.......... 220
6.3.2 Formulas Based on Variational Technique....... 222
6.3.3 Slater s Perturbational Formula............. 223
6.3.4 A Heuristic Perturbational Formula.......... 229
6.3.5 A Square Cavity with Perturbed Corners....... 229
6.4 Material Perturbations ..................... 232
6.5 Conclusion ............................ 236
References ............................... 237
Problems ................................ 237
Bibliography 241
Index 243
|
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illustrated | Illustrated |
indexdate | 2024-07-10T07:34:32Z |
institution | BVB |
isbn | 9781498709019 |
language | English |
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physical | xx, 246 pages illustrations (some color) 25 cm |
publishDate | 2016 |
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spelling | Sadiku, Matthew N. O. aut Analytical techniques in electromagnetics Matthew N.O. Sadiku, Sudarshan R. Nelatury Boca Raton CRC Press, Taylor & Francis Group [2016] xx, 246 pages illustrations (some color) 25 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (page 241) and index Electromagnetic fields / Mathematical models fast Electromagnetism / Mathematics fast Magnetic materials / Mathematical models fast Mathematik Mathematisches Modell Electromagnetism Mathematics Electromagnetic fields Mathematical models Magnetic materials Mathematical models Electromagnetic fields Electromagnetism Magnetic materials Nelatury, Sudarshan aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029177754&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sadiku, Matthew N. O. Nelatury, Sudarshan Analytical techniques in electromagnetics Electromagnetic fields / Mathematical models fast Electromagnetism / Mathematics fast Magnetic materials / Mathematical models fast Mathematik Mathematisches Modell Electromagnetism Mathematics Electromagnetic fields Mathematical models Magnetic materials Mathematical models Electromagnetic fields Electromagnetism Magnetic materials |
title | Analytical techniques in electromagnetics |
title_auth | Analytical techniques in electromagnetics |
title_exact_search | Analytical techniques in electromagnetics |
title_full | Analytical techniques in electromagnetics Matthew N.O. Sadiku, Sudarshan R. Nelatury |
title_fullStr | Analytical techniques in electromagnetics Matthew N.O. Sadiku, Sudarshan R. Nelatury |
title_full_unstemmed | Analytical techniques in electromagnetics Matthew N.O. Sadiku, Sudarshan R. Nelatury |
title_short | Analytical techniques in electromagnetics |
title_sort | analytical techniques in electromagnetics |
topic | Electromagnetic fields / Mathematical models fast Electromagnetism / Mathematics fast Magnetic materials / Mathematical models fast Mathematik Mathematisches Modell Electromagnetism Mathematics Electromagnetic fields Mathematical models Magnetic materials Mathematical models Electromagnetic fields Electromagnetism Magnetic materials |
topic_facet | Electromagnetic fields / Mathematical models Electromagnetism / Mathematics Magnetic materials / Mathematical models Mathematik Mathematisches Modell Electromagnetism Mathematics Electromagnetic fields Mathematical models Magnetic materials Mathematical models Electromagnetic fields Electromagnetism Magnetic materials |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029177754&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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