Foundations of applied electrodynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester
Wiley
2010
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 504 S. Ill., graph. Darst. |
| ISBN: | 9780470688625 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
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| 008 | 101104s2010 ad|| |||| 00||| eng d | ||
| 010 | |a 2009052108 | ||
| 020 | |a 9780470688625 |c hbk. |9 978-0-470-68862-5 | ||
| 035 | |a (OCoLC)699860714 | ||
| 035 | |a (DE-599)BSZ328128562 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
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| 100 | 1 | |a Wen, Geyi |d 1963- |e Verfasser |0 (DE-588)141431660 |4 aut | |
| 245 | 1 | 0 | |a Foundations of applied electrodynamics |c Geyi Wen |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Chichester |b Wiley |c 2010 | |
| 300 | |a XVIII, 504 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-020675732 | ||
Datensatz im Suchindex
| _version_ | 1804143425188003840 |
|---|---|
| adam_text | Contents
Preface xv
1 Maxwell
Equations
1
1.1
Experimental
Laws
2
/././
Coulomb s Law
2
1.1.2
Ampere s Law
5
1.1.3
Faraday s Law
g
1.1.4
Law of Conservation of Charge
9
1.2
Maxwell Equations, Constitutive Relation, and Dispersion
10
1.2.1
Maxwell Equations and Boundary Conditions
1.2.2
Constitutive Relations
15
1.2.3
Wave Equations
18
1.2.4
Dispersion
20
1.3
Theorems for Electromagnetic Fields
22
1.3.1
Superposition Theorem
22
1.3.2
Compensation Theorem
23
1.3.3
Conservation of Electromagnetic Energy
23
1.3.4
Conservation of Electromagnetic Momentum
25
/.5.5
Conservation of Electromagnetic Angular Momentum
27
1.3.6
Uniqueness Theorems
27
1.3.7
Equivalence Theorems
32
1.3.8
Reciprocity
36
1.4
Wavepackets
39
1.4.1
Spatial Wavepacket and Temporal Wavepacket
40
1.4.2
Signal Velocity and Group Velocity
42
1.4.3
Energy Density for Wavepackets
42
1.4.4
Energy Velocity and Group Velocity
45
1.4.5
Narrow-band Stationary Stochastic Vector Field
47
2
Solutions of Maxwell Equations
49
2.1
Linear Space and Linear Operator
50
2.1.1
Linear Space, Normed Space and Inner Product Space
50
2.1.2
Linear and Multilinear Maps
52
Contents
2.2
Classification
of Partial Differential Equations
54
2.2.1
Canonical Form of Elliptical Equations
56
2.2.2
Canonical Form of Hyperbolic Equations
57
2.2.3
Canonical Form of Parabolic Equations
57
2.3
Modern Theory of Partial Differential Equations
58
2.3.1
Limitation of Classical Solutions
58
2.3.2
Theory of Generalized Functions
60
2.3.3
S
obolev
Spaces
66
2.3.4
Generalized Solutions of Partial Differential Equations
67
2.4
Method of Separation of Variables
69
2.4.1
Rectangular Coordinate System
69
2.4.2
Cylindrical Coordinate System
70
2.4.3
Spherical Coordinate System
71
2.5
Method of Green s Function
73
2.5.1
Fundamental Solutions of Partial Differential Equations
73
2.5.2
Integral Representations of Arbitrary Fields
74
2.5.3
Integral Representations of Electromagnetic Fields
78
2.6
Potential Theory
83
2.6.1
Vector Potential, Scalar Potential, and Gauge Conditions
83
2.6.2
Hertz Vectors and Debye Potentials
87
2.6.3
Jump Relations in Potential Theory
89
2.7
Variational Principles
93
2.7. /
Generalized Calculus of Variation
93
2.7.2
Lagrangian Formulation
95
2.7.3
Hamiltonian Formulation
100
3
Eigenvalue Problems
105
3.1
Introduction to Linear Operator Theory
106
3.1.1
Compact Operators and Embeddings
106
3.1.2
Closed Operators
109
3.1.3
Spectrum and Resolvent of Linear Operators
110
3.1.4
Adjoint Operators and Symmetric Operators
112
3.1.5
Energy Space
114
3.1.6
Energy Extension,
Friedrichs
Extension and
Generalized Solution
116
3.2
Eigenvalue Problems for Symmetric Operators
120
3.2.1
Positive-Bounded-Below Symmetric Operators
120
3.2.2
Compact Symmetric Operators
126
3.3
Interior Electromagnetic Problems
130
3.3.1
Mode Theory for Waveguides
130
3.3.2
Mode Theory for Cavity Resonators
140
3.4
Exterior Electromagnetic Problems
145
3.4.1
Mode Theory for Spherical Waveguides
145
3.4.2
Singular Functions and Singular Values
149
3.5
Eigenfunctions of Curl Operator
150
Contents
4
Antenna
Theory j53
4.1
Antenna Parameters
j
54
4.1.1
Radiation Patterns and Radiation Intensity
155
4.1.2
Radiation Efficiency, Antenna Efficiency and Matching
Network Efficiency
55
4.1.3
Directivity and Gain
157
4.1.4
Input Impedance, Bandwidth and Antenna Quality Factor
157
4.1.5
Vector Effective Length, Equivalent Area and Antenna Factor
158
4.1.6
Polarization and Coupling
161
4.2
Properties of Far Fields
162
4.3
Spherical Vector Wavefunctions
165
4.3.1
Field Expansions in Terms of Spherical Vector Wavefunctions
165
4.3.2
Completeness of Spherical Vector Wavefunctions
171
4.4
Foster Theorems and Relationship Between Quality Factor and
Bandwidth
172
4.4.1
Poynting Theorem and the Evaluation of Antenna Quality Factor
173
4.4.2
Equivalent Circuit for Transmitting Antenna
176
4.4.3
Foster Theorems for Ideal Antenna and Antenna Quality Factor
178
4.4.4
Relationship Between Antenna Quality Factor and Bandwidth
182
4.5
Minimum Possible Antenna Quality Factor
183
4.5.1
Spherical Wavefunction Expansion for Antenna Quality Factor
183
4.5.2
Minimum Possible Antenna Quality Factor
185
4.6
Maximum Possible Product of Gain and Bandwidth
186
4.6.1
Directive Antenna
186
4.6.2
Omni-Directional Antenna
189
4.6.3
Best Possible Antenna Performance
192
4.7
Evaluation of Antenna Quality Factor
193
4.7.1
Quality Factor for Arbitrary Antenna
193
4.7.2
Quality Factor for Small Antenna
194
4.7.3
Some Remarks on Electromagnetic Stored Energy
200
5
Integral Equation Formulations
203
5.1
Integral Equations
204
5.2
ТЕМ
Transmission Lines
205
5.3
Waveguide Eigenvalue Problems
207
5.3.1
Spurious Solutions and their Discrimination
208
5.3.2
Integral Equations Without Spurious Solutions
210
5.4
Metal Cavity Resonators
211
5.5
Scattering Problems
213
5.5.1
Three-Dimensional Scatterers
213
5.5.2
Two-Dimensional Scatterers
224
5.5.3
Scattering Cross-Section
230
5.5.4
Low Frequency Solutions of Integral Equations
231
5.6
Multiple Metal Antenna System
233
5.7
Numerical Methods
238
5.7.1
Projection Method
238
x
Contents
5.7.2 Moment
Method
239
5.7.3
Construction of Approximating Subspaces
240
6
Network Formulations
245
6.1
Transmission Line Theory
245
6.1.1
Transmission Line Equations
246
6.1.2
Signal Propagations in Transmission Lines
249
6.2
Scattering Parameters for General Circuits
250
6.2.1
One-Port Network
250
6.2.2
Multi-Port Network
252
6.3
Waveguide Junctions
254
6.4
Multiple Antenna System
258
6.4.1
Impedance Matrix
258
6.4.2
Scattering Matrix
262
6.4.3
Antenna System with Large Separations
263
6.5
Power Transmission Between Antennas
267
6.5.1
Universal Power Transmission Formula
267
6.5.2
Power Transmission Between Two Planar Apertures
270
6.5.3
Power Transmission Between Two Antenna Arrays
273
6.6
Network Parameters in a Scattering Environment
275
6.6.1
Compensation Theorem for Time-Harmonic Fields
275
6.6.2
Scattering Parameters in a Scattering Environment
276
6.6.3
Antenna Input Impedance in a Scattering Environment
279
6.7
RLC Equivalent Circuits
280
6.7.1
RLC Equivalent Circuit for a One-Port Microwave Network
280
6.7.2
RLC Equivalent Circuits for Current Sources
282
7
Fields in Inhomogeneous Media
287
7.1
Foundations of Spectral Analysis
288
7.1.1
The Spectrum
288
7.1.2
Spectral Theorem
289
7.1.3
Generalized Eigenfunctions of Self-Adjoint Operators
290
7.1.4
Bilinear Forms
292
7.1.5
Min-Max
Principle
294
7.1.6
A Bilinear Form for Maxwell Equations
295
7.2
Plane Waves in Inhomogeneous Media
296
7.2.1
Wave Equations in Inhomogeneous Media
296
7.2.2
Waves in Slowly Varying Layered Media and WKB Approximation
297
7.2.3
High Frequency Approximations and Geometric Optics
298
7.2.4
Reflection and Transmission in Layered Media
303
7.3
Inhomogeneous Metal Waveguides
305
7.3.1
General Field Relationships
305
7.3.2
Symmetric Formulation
306
7.3.3
Asymmetric Formulation
307
7.4
Optical Fibers
309
7.4.1
Circular Optical Fiber
309
Contents
7.4.2 Guidance
Condition
312
7.4.3
Eigenvalues and Essential Spectrum
3
1
3
7.5
Inhomogeneous Cavity Resonator 319
7.5.1
Mode Theory 32q
7.5.2
Field Expansions
325
8
Time-domain Theory
329
8.1
Time-domain Theory of Metal Waveguides
33О
8.1.1
Field Expansions
33
¡
8.1.2
Solution of the Modified Klein-Gordon Equation
334
8.1.3
Excitation of Waveguides
3З8
8.2
Time-domain Theory of Metal Cavity Resonators
342
8.2.1
Field in Arbitrary Cavities
342
8.2.2
Fields in Waveguide Cavities
349
8.3
Spherical Wave Expansions in Time-domain
З6О
8.3.1
Transverse Field Equations
З6О
8.3.2
Spherical Transmission Line Equations
361
8.4
Radiation and Scattering in Time-domain
363
8.4.1
Radiation from an Arbitrary Source
363
8.4.2
Radiation from Elementary Sources
365
8.4.3
Enhancement of Radiation
367
8.4.4
Time-domain Integral Equations
369
9
Relativity
379
9.1
Tensor Algebra on Linear Spaces
380
9.1.1
Tensor Algebra
380
9.1.2
Tangent Space, Cotangent Space and Tensor Space
384
9.1.3
Metric Tensor
387
9.2
Einstein s Postulates for Special Relativity
388
9.2.1
Galilean Relativity Principle
388
9.2.2
Fundamental Postulates
389
9.3
The
Lorentz
Transformation
389
9.3.1
Intervals
389
9.3.2
Derivation of the
Lorentz
Transformation
391
9.3.3
Properties of Space-Time
393
9.4
Relativistic Mechanics in
Inerţial
Reference Frame
395
9.4.1
Four-Velocity Vector
395
9.4.2
Four-Momentum Vector
395
9.4.3
Relativistic Equation of Motion
396
9.4.4
Angular Momentum Tensor and Energy-Momentum Tensor
398
9.5
Electrodynamics in
Inerţial
Reference Frame
400
9.5.1
Covariance of Continuity Equation
400
9.5.2
Covariance of Maxwell Equations
401
9.5.3
Transformation of Electromagnetic Fields and Sources
402
9.5.4
Covariant Forms of Electromagnetic Conservation Laws
403
9.5.5
Total Energy-Momentum Tensor
404
xii Contents
9.6 General
Theory of Relativity
404
9.6.1
Principle of Equivalence
405
9.6.2
Manifolds
406
9.6.3
Tangent Bundles, Cotangent Bundles and Tensor Bundles
407
9.6.4
Riemannian Manifold
409
9.6.5
Accelerated Reference Frames
410
9.6.6
Time and length in Accelerated Reference Frame
413
9.6.7
Covariant Derivative and Connection
415
9.6.8
Geodesies and Equation of Motion in Gravitational Field
418
9.6.9
Bianchi
Identities
421
9.6.10
Principle of General Covariance and Minimal Coupling
422
9.6.11
Einstein Field Equations
422
9.6.12
The
Schwarzschild
Solution
425
9.6.13
Electromagnetic Fields in an Accelerated System
426
10
Quantization of Electromagnetic Fields
429
10.1
Fundamentals of Quantum Mechanics
430
10.1.1
Basic Postulates of Quantum Mechanics
430
10.1.2
Quantum Mechanical Operators
431
10.1.3
The Uncertainty Principle
432
10.1.4
Quantization of Classical Mechanics
434
10.1.5
Harmonic Oscillator
435
10.1.6
Systems of Identical Particles
437
10.2
Quantization of Free Electromagnetic Fields
438
10.2.1
Quantization in Terms of Plane Wave Functions
439
10.2.2
Quantization in Terms of Spherical Wavefunctions
445
10.3
Quantum Statistics
448
10.3.1
Statistical States
448
10.3.2
Most Probable Distributions
449
10.3.3
Blackbody
Radiation
450
10.4
Interaction of Electromagnetic Fields with the Small
Particle System
451
10.4.1
The Hamiltonian Function of the Coupled System
451
10.4.2
Quantization of the Coupled System
453
10.4.3
Perturbation Theory
455
10.4.4
Induced Transition and Spontaneous Transition
458
10.4.5
Absorption and Amplification
461
10.4.6
Quantum Mechanical Derivation of Dielectric Constant
462
10.5
Relativistic Quantum Mechanics
465
10.5.1
The Klein-Gordon Equation
465
10.5.2
The Dirac Equation
466
Appendix A: Set Theory
469
A.
1
Basic Concepts
469
A.2 Set Operations
469
A.3 Set Algebra
470
Contents xiii
Appendix
В:
Vector
Analysis
471
В
. 1
Formulas from Vector Analysis
471
B.2 Vector Analysis in Curvilinear Coordinate Systems
472
B.2.1 Curvilinear Coordinate Systems
473
B.2.2 Differential Operators
476
B.2.
3
Orthogonal Systems
478
Appendix
С
:
Special Functions
481
C.I Bessel Functions
481
C.2 Spherical Bessel Functions
482
C.3 Legendre Functions and Associated Legendre Functions
483
Appendix
D
:
SI Unit System
485
Bibliography
487
Index
497
|
| any_adam_object | 1 |
| author | Wen, Geyi 1963- |
| author_GND | (DE-588)141431660 |
| author_facet | Wen, Geyi 1963- |
| author_role | aut |
| author_sort | Wen, Geyi 1963- |
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| building | Verbundindex |
| bvnumber | BV036758636 |
| classification_rvk | UH 1000 |
| ctrlnum | (OCoLC)699860714 (DE-599)BSZ328128562 |
| dewey-full | 537.60151 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537.60151 |
| dewey-search | 537.60151 |
| dewey-sort | 3537.60151 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV036758636 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:47:27Z |
| institution | BVB |
| isbn | 9780470688625 |
| language | English |
| lccn | 2009052108 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020675732 |
| oclc_num | 699860714 |
| open_access_boolean | |
| owner | DE-20 DE-703 |
| owner_facet | DE-20 DE-703 |
| physical | XVIII, 504 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Wiley |
| record_format | marc |
| spelling | Wen, Geyi 1963- Verfasser (DE-588)141431660 aut Foundations of applied electrodynamics Geyi Wen 1. publ. Chichester Wiley 2010 XVIII, 504 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Anwendung (DE-588)4196864-5 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 s Anwendung (DE-588)4196864-5 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020675732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wen, Geyi 1963- Foundations of applied electrodynamics Anwendung (DE-588)4196864-5 gnd Elektromagnetismus (DE-588)4014306-5 gnd |
| subject_GND | (DE-588)4196864-5 (DE-588)4014306-5 |
| title | Foundations of applied electrodynamics |
| title_auth | Foundations of applied electrodynamics |
| title_exact_search | Foundations of applied electrodynamics |
| title_full | Foundations of applied electrodynamics Geyi Wen |
| title_fullStr | Foundations of applied electrodynamics Geyi Wen |
| title_full_unstemmed | Foundations of applied electrodynamics Geyi Wen |
| title_short | Foundations of applied electrodynamics |
| title_sort | foundations of applied electrodynamics |
| topic | Anwendung (DE-588)4196864-5 gnd Elektromagnetismus (DE-588)4014306-5 gnd |
| topic_facet | Anwendung Elektromagnetismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020675732&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT wengeyi foundationsofappliedelectrodynamics |