Prabhakar Spin Waves

Theory and Applications
1. Auflage 2009
ISBN: 978-0-387-77865-5
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 364 Seiten

This book begins by introducing magnetism and discusses magnetic properties of materials, magnetic moments of atoms and ions, and the elements important to magnetism. It covers magnetic susceptibilities and electromagnetic waves in anisotropic dispersive media among other topics. There are problems at the end of each chapter, many of which serve to expand or explain the material in the text. The bibliographies for each chapter give an entry to the research literature.

Autoren/Hrsg.

Prabhakar, Anil

Inhaltsverzeichnis

1;Spin Waves;2
2;Preface;6
3;Acknowledgments;8
4;Contents;9
5;Introduction to Magnetism;14
5.1;Magnetic Properties of Materials;14
5.1.1;Diamagnetism;16
5.1.2;Paramagnetism;16
5.1.3;Ferromagnetism;16
5.1.4;Ferrimagnetism and Antiferromagnetism;17
5.2;Spinning Top;18
5.3;Magnetism;21
5.3.1;Equation of Motion;21
5.3.2;Gyromagnetic Ratio;23
5.4;Angular Momentum in Quantum Mechanics;25
5.4.1;Basic Postulates of Quantum Mechanics;26
5.4.2;Eigenvalue Equations;27
5.4.3;Angular Momentum;27
5.4.4;Addition of Angular Momenta;33
5.5;Magnetic Moments of Atoms and Ions;36
5.5.1;Construction of Ground States of Atoms and Ions;36
5.6;Elements Important to Magnetism;41
5.7;Problems;41
5.8;References;44
6;Quantum Theory of Spin Waves;45
6.1;Charged Particle in an Electromagnetic Field;45
6.2;Zeeman Energy;48
6.3;Larmor Precession;50
6.4;Origins of Exchange: The Heisenberg Hamiltonian;51
6.5;Spin Wave on a Linear Ferromagnetic Chain;58
6.6;Harmonic Oscillator;62
6.6.1;Harmonic Oscillator Eigenfunctions;62
6.6.2;Raising and Lowering Operators;64
6.7;Magnons in a 3D Ferromagnet: Method of Holstein and Primakoff;67
6.7.1;Magnon Dispersion Relation;67
6.7.2;Magnon Interactions;72
6.8;Problems;76
6.9;References;77
7;Magnetic Susceptibilities;79
7.1;Diamagnetism;79
7.2;Paramagnetism;82
7.3;Weiss Theory of Ferromagnetism;85
7.4;Néel Theory of Ferrimagnetism;88
7.5;Exchange Field;93
7.5.1;Uniform Magnetization;94
7.5.2;Non-uniform Magnetization;95
7.6;Magnetocrystalline Anisotropy;96
7.6.1;Uniaxial Anisotropy;96
7.6.2;Cubic Anisotropy;98
7.6.3;Coordinate Transformations;99
7.7;Polder Susceptibility Tensor;103
7.7.1;Equation of Motion for the Magnetization;103
7.7.2;Susceptibility Without Exchange or Anisotropy;103
7.7.3;Susceptibility with Exchange and Anisotropy;105
7.8;Magnetic Damping;106
7.9;Magnetic Switching;114
7.9.1;Stoner--Wohlfarth Particle;114
7.9.2;Damped Precession;116
7.10;Problems;118
7.11;References;120
8;Electromagnetic Waves in Anisotropic-Dispersive Media;123
8.1;Maxwell's Equations;123
8.2;Constitutive Relations;124
8.3;Instantaneous Poynting Theorem;126
8.4;Complex Poynting Theorem;128
8.5;Energy Densities in Lossless Dispersive Media;129
8.6;Wave Equations;131
8.7;Polarization of the Electromagnetic Fields;134
8.8;Group and Energy Velocities;136
8.9;Plane Waves in a Magnetized Ferrite;139
8.9.1;Propagation Parallel to the Applied Field;140
8.9.2;Propagation Perpendicular to the Applied Field;142
8.10;The Magnetostatic Approximation;144
8.11;Problems;146
8.12;References;149
9;Magnetostatic Modes;150
9.1;Walker's Equation;150
9.2;Spin Waves;152
9.3;Uniform Precession Modes;155
9.3.1;Normally Magnetized Ferrite Film;155
9.3.2;Tangentially Magnetized Ferrite Film;156
9.3.3;Ferrite Sphere;157
9.4;Normally Magnetized Film: Forward Volume Waves;162
9.5;Tangentially Magnetized Film: Backward Volume Waves;169
9.6;Tangentially Magnetized Film: Surface Waves;173
9.7;Problems;177
9.8;References;178
10;Propagation Characteristics and Excitation of Dipolar Spin Waves;180
10.1;Energy Velocities for Dipolar Spin Waves;180
10.2;Propagation Loss;182
10.2.1;Relaxation Time for Propagating Modes;182
10.2.2;Surface Waves;184
10.2.3;Volume Waves;185
10.2.4;Summary of the Phenomenological Loss Theory;187
10.3;Mode Orthogonality and Normalization;189
10.3.1;Forward Volume Waves;189
10.3.2;Backward Volume Waves;191
10.3.3;Surface Waves;193
10.4;Excitation of Dipolar Spin Waves;194
10.4.1;Common Excitation Structures;194
10.4.2;Forward Volume Waves;199
10.4.3;Backward Volume Waves;205
10.4.4;Surface Waves;206
10.4.5;Discussion of Excitation Calculations;208
10.5;Problems;210
10.6;References;212
11;Variational Formulation for Magnetostatic Modes;214
11.1;General Problem Statement;214
11.2;Calculus of Variations;215
11.2.1;Formulation for One Independent Variable;215
11.2.2;Extensions to Three Independent Variables;217
11.3;Small-Signal Functional for Ferrites;219
11.4;Interpretation of the Functional;221
11.5;Stationary Formulas;223
11.6;Stationary Formula Examples with Forward Volume Waves;225
11.6.1;Large k-limit;226
11.6.2;Improved Approximation;227
11.6.3;Effect of Medium Inhomogeneity;229
11.7;Finite Element Analysis ;229
11.8;Problems;230
11.9;References;232
12;Optical-Spin Wave Interactions;234
12.1;Symmetric Dielectric Waveguides;235
12.1.1;TE Modes;235
12.1.2;TM Modes;238
12.1.3;Optical Mode Orthogonality and Normalization;239
12.2;Magneto-Optical Interactions;242
12.2.1;Can You Tell the Difference Between and ?;242
12.2.2;Definition of Magnetization at High Frequencies;245
12.2.3;Symmetry Requirements on the Permittivity;246
12.3;Coupled-Mode Theory;247
12.3.1;Coupled-Mode Equations;248
12.3.2;Energy Conservation;249
12.3.3;Solutions to the Coupled-Mode Equations;250
12.4;Scattering of Optical-Guided Modes by Forward VolumeSpin Waves;252
12.4.1;Coupled-Mode Equations;252
12.4.2;Coupling Coefficients;256
12.4.3;Tightly Bound Optical Mode Approximation;261
12.4.4;Cotton--Mouton Effect;263
12.5;Anisotropic Bragg Diffraction;264
12.6;Problems;267
12.7;References;271
13;Nonlinear Interactions;273
13.1;Large-Amplitude Spin Waves;273
13.1.1;Foldover and Bistability;277
13.2;Hamiltonian Equations of Motion;281
13.3;Spin Wave Interactions;283
13.3.1;Decay Instability;290
13.3.2;H(2) Coefficients;292
13.4;Nonlinear Schrödinger Equation;294
13.4.1;Modulational Instability and Solitons;295
13.4.2;Split-Step Fourier Method;297
13.4.3;Anomalous Dispersion;299
13.4.4;Other Aspects;301
13.5;Routes to Chaos;303
13.5.1;Center Manifold Theory;303
13.5.2;Quantizing Low-Dimensional Chaos;306
13.6;Problems;312
13.7;References;315
14;Novel Applications;319
14.1;Nano-Contact Spin-Wave Excitations;319
14.1.1;Current-Induced Spin Torque;320
14.1.2;Magnetic Precession;325
14.2;Magnetic Precession in Patterned Structures;332
14.3;Inverse Doppler Effect in Backward Volume Waves;335
14.4;Problems;339
14.5;References;340
15;Appendix A Properties of Yttrium–Iron–Garnet (YIG);343
15.1;References;344
16;Appendix B Currents in Quantum Mechanics;345
16.1;Density of States;345
16.2;Electric and Spin Current Densities;347
16.3;Reflection and Transmission at a Boundary;348
16.4;Tunneling Through a Barrier;349
16.5;References;351
17;Appendix C Characteristics of Spin Wave Modes;352
17.1;Constitutive Tensors;352
17.1.1;Polder Susceptibility Tensor;352
17.1.2;Permeability Tensor;353
17.2;Uniform Precession Mode Frequencies;353
17.3;Spin Wave Resonance Frequencies;353
17.4;General Magnetostatic Field Relations;353
17.5;Forward Volume Spin Waves;354
17.6;Backward Volume Spin Waves;355
17.7;Surface Spin Waves;356
18;Appendix D Mathematical Relations;358
18.1;Trigonometric Identities;358
18.2;Vector Identities and Definitions;358
18.3;Fourier Transform Definitions;359
19;Index;360