Principles of magnetostatics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, United Kingdom
Cambridge University Press
2016
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | xi, 300 Seiten Diagramme |
| ISBN: | 9781107161122 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface page ix
1 Basic concepts 1
1.1 Current 2
1.2 Magnetic forces 3
1.3 The Biot-Savart law 6
1.4 Divergence of the magnetic field 11
1.5 Circulation of the magnetic field 12
1.6 The Ampère law 14
1.7 Boundary conditions at a current sheet 17
1.8 Inductance 19
1.9 Energy stored in the magnetic field 20
2 Magnetic materials 23
2.1 Magnetization 23
2.2 Magnetic field intensity 26
2.3 Permeability and susceptibility 27
2.4 Types of magnetism 27
2.5 Magnetic circuits 31
2.6 Boundary conditions between regions with different p 33
2.7 Method of images 34
3 Potential theory 39
3.1 Vector potential 39
3.2 Vector potential in two dimensions 41
3.3 Boundary conditions on A 44
3.4 Vector potential for a localized current distribution 45
3.5 Force on a localized current distribution 49
3.6 Magnetic scalar potential 50
52
53
59
67
71
71
76
80
84
88
90
93
100
102
104
105
108
108
111
113
115
120
123
124
126
132
135
138
140
141
147
150
150
153
154
159
Contents
3.7 Scalar potential for a magnetic body
3.8 General solutions to the Laplace equation
3.9 Boundary value problems
3.10 Green’s theorem
Conductor-dominant transverse fields
4.1 General solution to the Laplace equation in
two dimensions
4.2 Harmonic expansion for a line current
4.3 Field for a current sheet
4.4 Ideal multipole current sheet
4.5 Multipole dependence on the current distribution
4.6 Approximate multipole configurations
4.7 Field for a block conductor
4.8 Ideal multipole current block
4.9 Field from a magnetized body
4.10 Superconductors
4.11 End fields
Complex analysis of transverse fields
5.1 Complex representation of potentials and fields
5.2 Maxwell’s equations in complex conjugate
coordinates
5.3 Field from a line current
5.4 Field from a current sheet
5.5 cos (j) current sheets
5.6 Green’s theorems in the complex plane
5.7 Field from a block conductor
5.8 Block conductor examples
5.9 Field from image currents
5.10 Multipole expansion
5.11 Field due to a magnetized body
5.12 Force
5.13 Conformal mapping
5.14 Integrated potentials
Iron-dominant transverse fields
6.1 Ideal multipole magnets
6.2 Approximate multipole configurations
6.3 Dipole configurations
6.4 Quadrupole configurations
Contents
vii
7 Axial field configurations 165
7.1 Circular current loop 165
7.2 Radial expansion of the on-axis magnetic field 170
7.3 Zonal harmonic expansions 172
7.4 Multiple coil configurations 178
7.5 Sheet model for the solenoid 182
7.6 Block model for the solenoid 189
7.7 Bent solenoid 190
7.8 Toroid 193
Periodic magnetic channels 197
8.1 Field from a helical conductor 197
8.2 Planar transverse field 204
8.3 Helical transverse field 206
8.4 Axial fields 209
Permanent magnets 211
9.1 Bar magnets 211
9.2 Magnetic circuit energized by a permanent magnet 214
9.3 Material properties 216
9.4 Model for rare earth materials 217
9.5 Rare earth model in two dimensions 219
9.6 Multipole expansion for continuously
distributed material 221
9.7 Segmented multipole magnet assemblies 224
Time-varying fields 229
10.1 Faraday’s law 229
10.2 Energy in the magnetic field 232
10.3 Energy loss in hysteresis cycles 234
10.4 Eddy currents 235
10.5 Skin effect 239
10.6 Displacement current 240
10.7 Rotating coil measurements 241
Numerical methods 245
11.1 Finite difference method 245
11.2 Example solution using finite differences 251
11.3 Finite element method 254
11.4 Integral equation method 258
11.5 The POISSON code 265
11.6 Inverse problems and optimization 267
Contents
viii
Appendices 274
A Symbols and SI units 274
B Vector analysis 275
C Bessel functions 279
D Legendre functions 283
E Complex variable analysis 287
F Complete elliptic integrals 293
Index 297
PRINCIPLES OF MAGNETOSTATICS
The subject of magnetostatics—the mathematical theory that describes the forces
and fields resulting from the steady flow of electrical currents—has a long history.
By capturing the basic concepts, and building toward the computation of mag-
netic fields, this book is a self-contained discussion of the major subjects in
magnetostatics.
Overviews of Maxwell’s equations, the Poisson equation, and boundary value
problems pave the way for dealing with fields from transverse, axial, and periodic
magnetic arrangements and assemblies of permanent magnets. Examples from
accelerator and beam physics give up-to-date context to the theory. Furthermore,
both complex contour integration and numerical techniques (including finite dif-
ference, finite element, and integral equation methods) for calculating magnetic
fields are discussed in detail with plentiful examples.
Both theoretical and practical information on carefully selected topics make this
a one-stop reference for magnet designers, as well as for physics and electrical
engineering students.
richard c. fernow received his PhD at Syracuse University for work on
particle physics and worked at Brookhaven National Laboratory. He contributed
to the optimization of the coil design for collider magnets and made calculations of
magnetic fields in solenoid channels. He is a member of the American Physical
Society.
|
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| author_sort | Fernow, Richard C. 1947- |
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| bvnumber | BV043680087 |
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| dewey-full | 538.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 538 - Magnetism |
| dewey-raw | 538.3 |
| dewey-search | 538.3 |
| dewey-sort | 3538.3 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| isbn | 9781107161122 |
| language | English |
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| spelling | Fernow, Richard C. 1947- Verfasser (DE-588)136239455 aut Principles of magnetostatics Richard C. Fernow, formerly Brookhaven National Laboratory Cambridge, United Kingdom Cambridge University Press 2016 xi, 300 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Magnetostatik (DE-588)4168601-9 gnd rswk-swf Magnetostatik (DE-588)4168601-9 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029092992&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029092992&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Fernow, Richard C. 1947- Principles of magnetostatics Magnetostatik (DE-588)4168601-9 gnd |
| subject_GND | (DE-588)4168601-9 |
| title | Principles of magnetostatics |
| title_auth | Principles of magnetostatics |
| title_exact_search | Principles of magnetostatics |
| title_full | Principles of magnetostatics Richard C. Fernow, formerly Brookhaven National Laboratory |
| title_fullStr | Principles of magnetostatics Richard C. Fernow, formerly Brookhaven National Laboratory |
| title_full_unstemmed | Principles of magnetostatics Richard C. Fernow, formerly Brookhaven National Laboratory |
| title_short | Principles of magnetostatics |
| title_sort | principles of magnetostatics |
| topic | Magnetostatik (DE-588)4168601-9 gnd |
| topic_facet | Magnetostatik |
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