Spin Waves	2
	Preface	6
	Acknowledgments	8
	Contents	9
	Introduction to Magnetism	14
	Magnetic Properties of Materials	14
	Diamagnetism	16
	Paramagnetism	16
	Ferromagnetism	16
	Ferrimagnetism and Antiferromagnetism	17
	Spinning Top	18
	Magnetism	21
	Equation of Motion	21
	Gyromagnetic Ratio	23
	Angular Momentum in Quantum Mechanics	25
	Basic Postulates of Quantum Mechanics	26
	Eigenvalue Equations	27
	Angular Momentum	27
	Addition of Angular Momenta	33
	Magnetic Moments of Atoms and Ions	36
	Construction of Ground States of Atoms and Ions	36
	Elements Important to Magnetism	41
	Problems	41
	References	44
	Quantum Theory of Spin Waves	45
	Charged Particle in an Electromagnetic Field	45
	Zeeman Energy	48
	Larmor Precession	50
	Origins of Exchange: The Heisenberg Hamiltonian	51
	Spin Wave on a Linear Ferromagnetic Chain	58
	Harmonic Oscillator	62
	Harmonic Oscillator Eigenfunctions	62
	Raising and Lowering Operators	64
	Magnons in a 3D Ferromagnet: Method of Holstein and Primakoff	67
	Magnon Dispersion Relation	67
	Magnon Interactions	72
	Problems	76
	References	77
	Magnetic Susceptibilities	79
	Diamagnetism	79
	Paramagnetism	82
	Weiss Theory of Ferromagnetism	85
	Néel Theory of Ferrimagnetism	88
	Exchange Field	93
	Uniform Magnetization	94
	Non-uniform Magnetization	95
	Magnetocrystalline Anisotropy	96
	Uniaxial Anisotropy	96
	Cubic Anisotropy	98
	Coordinate Transformations	99
	Polder Susceptibility Tensor	103
	Equation of Motion for the Magnetization	103
	Susceptibility Without Exchange or Anisotropy	103
	Susceptibility with Exchange and Anisotropy	105
	Magnetic Damping	106
	Magnetic Switching	114
	Stoner--Wohlfarth Particle	114
	Damped Precession	116
	Problems	118
	References	120
	Electromagnetic Waves in Anisotropic-Dispersive Media	123
	Maxwell's Equations	123
	Constitutive Relations	124
	Instantaneous Poynting Theorem	126
	Complex Poynting Theorem	128
	Energy Densities in Lossless Dispersive Media	129
	Wave Equations	131
	Polarization of the Electromagnetic Fields	134
	Group and Energy Velocities	136
	Plane Waves in a Magnetized Ferrite	139
	Propagation Parallel to the Applied Field	140
	Propagation Perpendicular to the Applied Field	142
	The Magnetostatic Approximation	144
	Problems	146
	References	149
	Magnetostatic Modes	150
	Walker's Equation	150
	Spin Waves	152
	Uniform Precession Modes	155
	Normally Magnetized Ferrite Film	155
	Tangentially Magnetized Ferrite Film	156
	Ferrite Sphere	157
	Normally Magnetized Film: Forward Volume Waves	162
	Tangentially Magnetized Film: Backward Volume Waves	169
	Tangentially Magnetized Film: Surface Waves	173
	Problems	177
	References	178
	Propagation Characteristics and Excitation of Dipolar Spin Waves	180
	Energy Velocities for Dipolar Spin Waves	180
	Propagation Loss	182
	Relaxation Time for Propagating Modes	182
	Surface Waves	184
	Volume Waves	185
	Summary of the Phenomenological Loss Theory	187
	Mode Orthogonality and Normalization	189
	Forward Volume Waves	189
	Backward Volume Waves	191
	Surface Waves	193
	Excitation of Dipolar Spin Waves	194
	Common Excitation Structures	194
	Forward Volume Waves	199
	Backward Volume Waves	205
	Surface Waves	206
	Discussion of Excitation Calculations	208
	Problems	210
	References	212
	Variational Formulation for Magnetostatic Modes	214
	General Problem Statement	214
	Calculus of Variations	215
	Formulation for One Independent Variable	215
	Extensions to Three Independent Variables	217
	Small-Signal Functional for Ferrites	219
	Interpretation of the Functional	221
	Stationary Formulas	223
	Stationary Formula Examples with Forward Volume Waves	225
	Large k-limit	226
	Improved Approximation	227
	Effect of Medium Inhomogeneity	229
	Finite Element Analysis	229
	Problems	230
	References	232
	Optical-Spin Wave Interactions	234
	Symmetric Dielectric Waveguides	235
	TE Modes	235
	TM Modes	238
	Optical Mode Orthogonality and Normalization	239
	Magneto-Optical Interactions	242
	Can You Tell the Difference Between and ?	242
	Definition of Magnetization at High Frequencies	245
	Symmetry Requirements on the Permittivity	246
	Coupled-Mode Theory	247
	Coupled-Mode Equations	248
	Energy Conservation	249
	Solutions to the Coupled-Mode Equations	250
	Scattering of Optical-Guided Modes by Forward VolumeSpin Waves	252
	Coupled-Mode Equations	252
	Coupling Coefficients	256
	Tightly Bound Optical Mode Approximation	261
	Cotton--Mouton Effect	263
	Anisotropic Bragg Diffraction	264
	Problems	267
	References	271
	Nonlinear Interactions	273
	Large-Amplitude Spin Waves	273
	Foldover and Bistability	277
	Hamiltonian Equations of Motion	281
	Spin Wave Interactions	283
	Decay Instability	290
	H(2) Coefficients	292
	Nonlinear Schrödinger Equation	294
	Modulational Instability and Solitons	295
	Split-Step Fourier Method	297
	Anomalous Dispersion	299
	Other Aspects	301
	Routes to Chaos	303
	Center Manifold Theory	303
	Quantizing Low-Dimensional Chaos	306
	Problems	312
	References	315
	Novel Applications	319
	Nano-Contact Spin-Wave Excitations	319
	Current-Induced Spin Torque	320
	Magnetic Precession	325
	Magnetic Precession in Patterned Structures	332
	Inverse Doppler Effect in Backward Volume Waves	335
	Problems	339
	References	340
	Appendix A Properties of Yttrium–Iron–Garnet (YIG)	343
	References	344
	Appendix B Currents in Quantum Mechanics	345
	Density of States	345
	Electric and Spin Current Densities	347
	Reflection and Transmission at a Boundary	348
	Tunneling Through a Barrier	349
	References	351
	Appendix C Characteristics of Spin Wave Modes	352
	Constitutive Tensors	352
	Polder Susceptibility Tensor	352
	Permeability Tensor	353
	Uniform Precession Mode Frequencies	353
	Spin Wave Resonance Frequencies	353
	General Magnetostatic Field Relations	353
	Forward Volume Spin Waves	354
	Backward Volume Spin Waves	355
	Surface Spin Waves	356
	Appendix D Mathematical Relations	358
	Trigonometric Identities	358
	Vector Identities and Definitions	358
	Fourier Transform Definitions	359
	Index	360