Wave propagation in electromagnetic media:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York u.a.
Springer
1990
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 294 S. graph. Darst. |
ISBN: | 0387970665 3540970665 |
Internformat
MARC
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100 | 1 | |a Davis, Julian L. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Wave propagation in electromagnetic media |
264 | 1 | |a New York u.a. |b Springer |c 1990 | |
300 | |a XI, 294 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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650 | 4 | |a Differential equations, Hyperbolic | |
650 | 4 | |a Electromagnetic waves |x Transmission | |
650 | 4 | |a Hamilton-Jacobi equations | |
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Datensatz im Suchindex
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adam_text | Julian L Davis
Wave Propagation in
Electromagnetic Media
With 30 Illustrations
Springer-Verlag
New York Berlin Heidelberg
London Paris Tokyo
Contents
Preface vii
CHAPTER 1
Time-Varying Electromagnetic Fields 1
Introduction 1
1 1 Maxwell s Equations 1
1 2 Conservation Laws 4
1 3 Scalar and Vector Potentials 8
1 4 Plane Electromagnetic Waves in a Nonconducting Medium 10
1 5 Plane Waves in a Conducting Medium 28
CHAPTER 2
Hyperbolic Partial Differential Equations in
Two Independent Variables 32
Introduction 32
2 1 General Solution of the Wave Equation 33
2 2 D Alembert s Solution of the Cauchy Initial Value Problem 35
2 3 Method of Characteristics for a Single First-Order Equation 40
2 4 Method of Characteristics for a First-Order System 48
2 5 Second-Order Quasilinear Partial Differential Equation 50
2 6 Domain of Dependence and Range of Influence 55
2 7 Some Basic Mathematical and Physical Principles 56
2 8 Propagation of Discontinuities 60
2 9 Weak Solutions and the Conservation Laws 63
2 10 Normal Forms for Second-Order Partial Differential Equations 69
2 11 Riemann s Method 74
2 12 Nonlinear Hyperbolic Equations in Two Independent Variables 82
CHAPTER 3
Hyperbolic Partial Differential Equations in
More Than Two Independent Variables 91
Introduction 91
3 1 First-Order Quasilinear Equations in n Independent Variables 91
3 2 First-Order Fully Nonlinear Equations in n Independent Variables 94
x Contents
3 3 Directional Derivatives in n Dimensions 95
3 4 Characteristic Surfaces in n Dimensions 99
3 5 Maxwell s Equations 105
3 6 Second-Order Quasilinear Equation in n Independent Variables 107
3 7 Geometry of Characteristics for Second-Order Systems 112
3 8 Ray Cone, Normal Cone, Duality 118
3 9 Wave Equation in n Dimensions 120
Appendix: Similarity Transformations and Canonical Forms 127
Introduction 127
3A 1 Geometric Considerations 128
3A 2 Orthogonal Transformations and Eigenvectors in Relation
to Similarity Transformations 130
3A 3 Diagonalization of A 133
CHAPTER 4
Variational Methods 135
Introduction 135
4 1 Principle of Least Time 136
4 2 One-Dimensional Calculus of Variations, Euler s Equation 137
4 3 Generalization to Functionals with More Than
One Dependent Variable 144
4 4 Special Case 145
4 5 Hamilton s Variational Principle and Configuration Space 146
4 6 Lagrange s Equations of Motion 148
4 7 D Alembert s Principle, Constraints, and Lagrange s Equations 151
4 8 Nonconservative Force Field, Velocity-Dependent Potential 158
4 9 Constraints Revisited, Undetermined Multipliers 165
4 10 Hamilton s Equations of Motion 167
4 11 Cyclic Coordinates 169
4 12 Principle of Least Action 171
4 13 Lagrange s Equations of Motion for a Continuum 174
4 14 Hamilton s Equations of Motion for a Continuum 178
CHAPTER 5
Canonical Transformations and Hamilton-Jacobi Theory 181
Introduction 181
Part I Canonical Transformations 181
5 1 Equations of Canonical Transformations and Generating Functions 181
5 2 Some Examples of Canonical Transformations 186
Part II Hamilton-Jacobi Theory 187
Introduction 187
5 3 Derivation of the Hamilton-Jacobi Equation for
Hamilton s Principle Function 188
54S Related to a Variational Principle 189
5 5 Application to Harmonic Oscillator 190
5 6 Hamilton s Characteristic Function 191
Contents xi
5 7 Application to n Harmonic Oscillators 193
5 8 Hamilton-Jacobi Theory Related to Characteristic Theory 193
5 9 Hamilton-Jacobi Theory and Wave Propagation 197
5 10 Hamilton-Jacobi Theory and Quantum Mechanics 203
CHAPTER 6
Quantum Mechanics—A Survey 206
Introduction 206
CHAPTER 7
Plasma Physics and Magnetohydrodynamics 231
Introduction 231
7 1 Fluid Dynamics Equations—General Treatment 232
7 2 Application of Fluid Dynamics Equations to Magnetohydrodynamics 235
7 3 Application of Characteristic Theory to Magnetohydrodynamics 239
7 4 Linearization of the Field Equations 243
CHAPTER 8
The Special Theory of Relativity 254
Introduction 254
8 1 Collapse of the Ether Theory 256
8 2 The Lorentz Transformation 258
8 3 Maxwell s Equations with Respect to a Lorentz Transformation 262
8 4 Contraction of Rods and Time Dilation 263
8 5 Addition of Velocities 265
8 6 World Lines and Light Cones 267
8 7 Covariant Formulation of the Laws of Physics in
Minkowski Space 270
8 8 Covariance of the Electromagnetic Equations 274
8 9 Force and Energy Equations in Relativistic Mechanics 278
8 10 Lagrangian Formulation of Equations of Motion in
Relativistic Mechanics 283
8 11 Covariant Lagrangian 285
Bibliography 289
Index 291
|
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id | DE-604.BV002617753 |
illustrated | Illustrated |
indexdate | 2024-07-09T15:47:29Z |
institution | BVB |
isbn | 0387970665 3540970665 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001682738 |
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owner_facet | DE-384 DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-83 DE-188 DE-91G DE-BY-TUM |
physical | XI, 294 S. graph. Darst. |
publishDate | 1990 |
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spelling | Davis, Julian L. Verfasser aut Wave propagation in electromagnetic media New York u.a. Springer 1990 XI, 294 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Differential equations, Hyperbolic Electromagnetic waves Transmission Hamilton-Jacobi equations Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Elektromagnetische Welle (DE-588)4014301-6 gnd rswk-swf Elektromagnetische Welle (DE-588)4014301-6 s Wellenausbreitung (DE-588)4121912-0 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001682738&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Davis, Julian L. Wave propagation in electromagnetic media Differential equations, Hyperbolic Electromagnetic waves Transmission Hamilton-Jacobi equations Wellenausbreitung (DE-588)4121912-0 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
subject_GND | (DE-588)4121912-0 (DE-588)4014301-6 |
title | Wave propagation in electromagnetic media |
title_auth | Wave propagation in electromagnetic media |
title_exact_search | Wave propagation in electromagnetic media |
title_full | Wave propagation in electromagnetic media |
title_fullStr | Wave propagation in electromagnetic media |
title_full_unstemmed | Wave propagation in electromagnetic media |
title_short | Wave propagation in electromagnetic media |
title_sort | wave propagation in electromagnetic media |
topic | Differential equations, Hyperbolic Electromagnetic waves Transmission Hamilton-Jacobi equations Wellenausbreitung (DE-588)4121912-0 gnd Elektromagnetische Welle (DE-588)4014301-6 gnd |
topic_facet | Differential equations, Hyperbolic Electromagnetic waves Transmission Hamilton-Jacobi equations Wellenausbreitung Elektromagnetische Welle |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001682738&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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