Spin waves: theory and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 355 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9780387778648 0387778640 |
Internformat
MARC
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| 016 | 7 | |a 986969931 |2 DE-101 | |
| 020 | |a 9780387778648 |c Gb. : ca. EUR 106.95 (freier Pr.), ca. sfr 174.00 (freier Pr.) |9 978-0-387-77864-8 | ||
| 020 | |a 0387778640 |c Gb. : ca. EUR 106.95 (freier Pr.), ca. sfr 174.00 (freier Pr.) |9 0-387-77864-0 | ||
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| 100 | 1 | |a Stancil, Daniel D. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Spin waves |b theory and applications |c Daniel D. Stancil ; Anil Prabhakar |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2009 | |
| 300 | |a XV, 355 S. |b graph. Darst. |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Nuclear magnetic resonance | |
| 650 | 4 | |a Spin waves | |
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| 689 | 0 | 0 | |a Spinwelle |0 (DE-588)4182340-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Prabhākar, Anil |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017556258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017556258 | ||
Datensatz im Suchindex
| _version_ | 1804139118550056960 |
|---|---|
| adam_text | Contents
Introduction
to Magnetism
................................ 1
1.1
Magnetic Properties of Materials
.......................... 1
1.1.1
Diamagnetism
.................................... 3
1.1.2
Paramagnetism
................................... 3
1.1.3
Ferromagnetism
................................... 3
1.1.4
Ferrimagnetism and Antiferromagnetism
............. 4
1.2
Spinning Top
........................................... 5
1.3
Magnetism
............................................. 8
1.3.1
Equation of Motion
................................ 8
1.3.2
Gyromagnetic Ratio
............................... 10
1.4
Angular Momentum in Quantum Mechanics
................ 12
1.4.1
Basic Postulates of Quantum Mechanics
.............. 13
1.4.2
Eigenvalue Equations
.............................. 14
1.4.3
Angular Momentum
............................... 14
1.4.4
Addition of Angular Momenta
...................... 20
1.5
Magnetic Moments of Atoms and Ions
..................... 23
1.5.1
Construction of Ground States of Atoms and Ions
..... 23
1.6
Elements Important to Magnetism
......................... 28
Problems
................................................... 28
References
.................................................. 31
Quantum Theory of Spin Waves
........................... 33
2.1
Charged Particle in an Electromagnetic Field
............... 33
2.2
Zeeman Ener© .........................................
36
2.3
Larmor Precession
....................................... 38
2.4
Origins of Exchange: The
Heisenberg Hamiltonian........... 39
2.5
Spin Wave on a Linear Ferromagnetic Chain
................ 46
2.6
Harmonic Oscillator
..................................... 50
2.6.1
Harmonic Oscillator Eigenfunctions
.................. 50
2.6.2
Raising and Lowering Operators
..................... 52
XI
XII Contents
2.7
Magnons
in
a
3D
Ferromagnet:
Method of
Holstein
and Primakoff
........................................... 55
2.7.1
Magnon
Dispersion Relation........................ 55
2.7.2
Magnon
Interactions
............................... 60
Problems ................................................... 64
References
.................................................. 65
3
Magnetic Susceptibilities
.................................. 67
3.1
Diamagnetism
.......................................... 67
3.2
Paramagnetism
......................................... 70
3.3
Weiss Theory of Ferromagnetism
.......................... 73
3.4
Néel
Theory of Ferrimagnetism
............................ 76
3.5
Exchange Field
.......................................... 81
3.5.1
Uniform Magnetization
............................. 82
3.5.2
Non-uniform Magnetization
......................... 83
3.6
Magnetocrystalline Anisotropy
............................ 84
3.6.1
Uniaxial
Anisotropy
............................... 84
3.6.2
Cubic Anisotropy
................................. 86
3.6.3
Coordinate Transformations
........................ 87
3.7
Polder Susceptibility Tensor
.............................. 91
3.7.1
Equation of Motion for the Magnetization
............ 91
3.7.2
Susceptibility Without Exchange or Anisotropy
....... 91
3.7.3
Susceptibility with Exchange and Anisotropy
......... 93
3.8
Magnetic Damping
...................................... 94
3.9
Magnetic Switching
......................................102
3.9.1
Stoner-
Wohlfarth Particle
..........................102
3.9.2
Damped Precession
................................104
Problems
...................................................106
References
..................................................108
4
Electromagnetic Waves in Anisotropic-Dispersive Media
...
Ill
4.1
Maxwell s Equations
.....................................
Ill
4.2
Constitutive Relations
...................................112
4.3
Instantaneous Poynting Theorem
..........................114
4.4
Complex Poynting Theorem
..............................116
4.5
Energy Densities in Lossless Dispersive Media
...............117
4.6
Wave Equations
.........................................119
4.7
Polarization of the Electromagnetic Fields
..................122
4.8
Group and Energy Velocities
..............................124
4.9
Plane Waves in a Magnetized
Ferrite
.......................127
4.9.1
Propagation Parallel to the Applied Field
............128
4.9.2
Propagation Perpendicular to the Applied Field
.......130
4.10
The Magnetostatic Approximation
.........................132
Problems
...................................................134
References
..................................................137
Contents XIII
Magnetostatic Modes
......................................139
5.1
Walker s Equation
.......................................139
5.2
Spin Waves
.............................................141
5.3
Uniform Precession Modes
................................144
5.3.1
Normally Magnetized
Ferrite
Film
...................144
5.3.2
Tangentially Magnetized
Ferrite
Film
................145
5.3.3
Ferrite
Sphere
.....................................146
5.4
Normally Magnetized Film: Forward Volume Waves
..........151
5.5
Tangentially Magnetized Film: Backward Volume Waves
.....158
5.6
Tangentially Magnetized Film: Surface Waves
...............162
Problems
...................................................166
References
..................................................167
Propagation Characteristics and Excitation of Dipolar
Spin Waves
................................................169
6.1
Energy Velocities for Dipolar Spin Waves
...................169
6.2
Propagation Loss
........................................171
6.2.1
Relaxation Time for Propagating Modes
.............171
6.2.2
Surface Waves
....................................173
6.2.3
Volume Waves
....................................174
6.2.4
Summary of the Phenomenological Loss Theory
.......176
6.3
Mode Orthogonality and Normalization
....................178
6.3.1
Forward Volume Waves
............................178
6.3.2
Backward Volume Waves
...........................180
6.3.3
Surface Waves
....................................182
6.4
Excitation of Dipolar Spin Waves
..........................183
6.4.1
Common Excitation Structures
......................183
6.4.2
Forward Volume Waves
............................188
6.4.3
Backward Volume Waves
...........................194
6.4.4
Surface Waves
....................................195
6.4.5
Discussion of Excitation Calculations
................197
Problems
...................................................199
References
..................................................201
Variational Formulation for Magnetostatic Modes
.........203
7.1
General Problem Statement
...............................203
7.2
Calculus of Variations
....................................204
7.2.1
Formulation for One Independent Variable
............204
7.2.2
Extensions to Three Independent Variables
...........206
7.3
Small-Signal Functional for
Ferrites
........................208
7.4
Interpretation of the Functional
...........................210
7.5
Stationary Formulas
.....................................212
7.6
Stationary Formula Examples with Forward Volume Waves
... 214
7.6.1
Large fc-limit
.....................................215
XIV Contents
7.6.2
Improved Approximation
...........................216
7.6.3
Effect of Medium Inhomogeneity
....................218
7.7
Finite Element Analysis
.................................218
Problems
...................................................219
References
..................................................221
8
Optical-Spin Wave Interactions
............................223
8.1
Symmetric Dielectric Waveguides
..........................224
8.1.1
TE
Modes
........................................224
8.1.2
TM Modes
.......................................227
8.1.3
Optical Mode Orthogonality and Normalization
.......228
8.2
Magneto-Optical Interactions
.............................231
8.2.1
Can You Tell the Difference Between
μ
and
ε?
........231
8.2.2
Definition of Magnetization at High Frequencies
.......234
8.2.3
Symmetry Requirements on the Permittivity
..........235
8.3
Coupled-Mode Theory
...................................236
8.3.1
Coupled-Mode Equations
...........................237
8.3.2
Energy Conservation
...............................238
8.3.3
Solutions to the Coupled-Mode Equations
............239
8.4
Scattering of Optical-Guided Modes by Forward Volume
Spin Waves
.............................................241
8.4.1
Coupled-Mode Equations
...........................241
8.4.2
Coupling Coefficients
..............................245
8.4.3
Tightly Bound Optical Mode Approximation
..........250
8.4.4
Cotton-Mouton Effect
.............................252
8.5 Anisotropie
Bragg Diffraction
.............................253
Problems
...................................................256
References
..................................................260
9
Nonlinear Interactions
.....................................263
9.1
Large-Amplitude Spin Waves
.............................263
9.1.1
Foldover and Bistability
............................267
9.2
Hamiltonian Equations of Motion
..........................271
9.3
Spin Wave Interactions
...................................273
9.3.1
Decay Instability
..................................280
9.3.2
H{2) Coefficients
..................................282
9.4
Nonlinear
Schrödinger
Equation
...........................284
9.4.1
Modulational Instability and
Solitons................285
9.4.2
Split-Step Fourier Method
..........................287
9.4.3
Anomalous Dispersion
.............................289
9.4.4
Other Aspects
....................................291
9.5
Routes to Chaos
.........................................293
9.5.1
Center Manifold Theory
............................293
9.5.2
Quantizing Low-Dimensional Chaos
..................296
Problems
.......................................... 302
References
........................................ 305
Contents
XV
10
Novel
Applications ........................................309
10.1 Nano-Contact
Spin-Wave Excitations
......................309
10.1.1
Current-Induced Spin Torque
.......................310
10.1.2
Magnetic Precession
...............................315
10.2
Magnetic Precession in Patterned Structures
................322
10.3
Inverse
Doppler
Effect in Backward Volume Waves
..........325
Problems
...................................................329
References
..................................................330
Appendix A: Properties of YIG
................................333
References
..................................................334
Appendix
В
:
Currents in Quantum Mechanics
.................335
B.I Density of States
........................................335
B.2 Electric and Spin Current Densities
........................337
B.3 Reflection and Transmission at a Boundary
.................338
B.4 Tunneling Through a Barrier
..............................339
References
..................................................341
Appendix
С
:
Characteristics of Spin Wave Modes
.............343
C.I Constitutive Tensors
.....................................343
C.I.I Polder Susceptibility Tensor
........................343
C.I.
2
Permeability Tensor
...............................344
C.2 Uniform Precession Mode Frequencies
......................344
C.3 Spin Wave Resonance Frequencies
.........................344
C.4 General Magnetostatic Field Relations
.....................344
C.5 Forward Volume Spin Waves
..............................345
C.6 Backward Volume Spin Waves
............................346
C.7 Surface Spin Waves
......................................347
Appendix D: Mathematical Relations
..........................349
D.I Trigonometric Identities
..................................349
D.2 Vector Identities and Definitions
...........................349
D.3 Fourier Transform Definitions
.............................350
Index
..........................................................351
|
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| classification_tum | PHY 723f |
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| dewey-ones | 538 - Magnetism |
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| id | DE-604.BV035500018 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:39:00Z |
| institution | BVB |
| isbn | 9780387778648 0387778640 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017556258 |
| oclc_num | 209335955 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91G DE-BY-TUM |
| owner_facet | DE-355 DE-BY-UBR DE-91G DE-BY-TUM |
| physical | XV, 355 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Stancil, Daniel D. Verfasser aut Spin waves theory and applications Daniel D. Stancil ; Anil Prabhakar New York [u.a.] Springer 2009 XV, 355 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Nuclear magnetic resonance Spin waves Spinwelle (DE-588)4182340-0 gnd rswk-swf Spinwelle (DE-588)4182340-0 s DE-604 Prabhākar, Anil Verfasser aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017556258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stancil, Daniel D. Prabhākar, Anil Spin waves theory and applications Nuclear magnetic resonance Spin waves Spinwelle (DE-588)4182340-0 gnd |
| subject_GND | (DE-588)4182340-0 |
| title | Spin waves theory and applications |
| title_auth | Spin waves theory and applications |
| title_exact_search | Spin waves theory and applications |
| title_full | Spin waves theory and applications Daniel D. Stancil ; Anil Prabhakar |
| title_fullStr | Spin waves theory and applications Daniel D. Stancil ; Anil Prabhakar |
| title_full_unstemmed | Spin waves theory and applications Daniel D. Stancil ; Anil Prabhakar |
| title_short | Spin waves |
| title_sort | spin waves theory and applications |
| title_sub | theory and applications |
| topic | Nuclear magnetic resonance Spin waves Spinwelle (DE-588)4182340-0 gnd |
| topic_facet | Nuclear magnetic resonance Spin waves Spinwelle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017556258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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