1st Edition

Magnetization Oscillations and Waves

    Written by two well-known researchers in the field, this useful reference takes an applied approach to high frequency processes including oscillations and waves in ferromagnets, antiferromagnets, and ferrimagnets. Problems evaluated include ferromagnetic and antiferromagnetic resonances, spin waves, nonlinear processes, and high frequency manifestations of interactions between the magnetic system and other systems of magnetically ordered substances as elastic waves and charge carriers.

    Unlike previous monographs on this subject, which are highly theoretical and written for very advanced readers, this book requires only an average college background in mathematics and experimental physics. It will be a valuable addition to the library of engineers and scientists in research and development for communications applications, and scientists interested in nonlinear magnetic phenomena. It also serves as an excellent introduction to the topic for newcomers in the field.

    Magnetization Oscillations and Waves not only presents results but also shows readers how to obtain them; most formulas are derived with so many details that readers can reproduce them. The book includes many summaries and tables and detailed references to significant work in the area by European researchers.

    Isotropic Ferromagnet Magnetized to Saturation
    Elementary Magnetic Moments
    Weiss Theory
    Exchange Interaction
    Equation of Motion of Magnetization
    High-Frequency Magnetic Susceptibility
    Solution of the Linearized Equation of Motion
    Peculiarities of the Susceptibility Tensor
    High-Frequency Permeability
    Allowance for Magnetic Losses
    Dissipative Terms and Dissipation Parameters
    Susceptibility Tensor Components
    Uniform Oscillations in a Small Ellipsoid
    Internal and External Magnetic Fields
    Forced Oscillations
    Anisotropic Ferromagnet
    Landau-Lifshitz Equation
    Generalization of Equation of Motion
    Methods of Analysis of Ferromagnetic Resonance in Anisotropic Ferromagnet
    Magnetocrystalline Anisotropy
    Origins of Magnetocrystalline Anisotropy
    Phenomenological Description
    Equilibrium Orientations of Magnetization
    Ferromagnetic Resonance in a Single Crystal
    Sphere of Uniaxial Ferromagnet
    Sphere of a Cubic Ferromagnet
    Simultaneous Allowance for Different Kinds of Anisotropy
    Ferromagnetic Resonance in a Polycrystal
    Independent-Grain and Strongly-Coupled Grain Approximations
    Influence of Porosity
    Antiferromagnets and Ferrites
    Antiferromagnetism and Ferrimagnetism
    Crystal and Magnetic Structures
    Equations of Motion and Energy Terms
    Ground States and Small Oscillations
    Antiferromagnetic Resonance
    Antiferromagnet with an Easy Axis of Anisotropy: Steady States
    Oscillations in Antiparallel State
    Oscillations in Noncollinear State
    Oscillations in Transverse and Arbitrarily Oriented Fields
    Antiferromagnet with Easy Plane of Anisotropy
    Magnetic Oscillations in Ferrimagnets
    Ground States of Two-Sublattice Ferrimagnet
    Oscillations in Antiparallel Ground State
    Oscillations in Noncollinear Ground State
    Damped and Forced Oscillations
    Fundamentals of Electrodynamics of Gyrotropic Media
    General Equations and Boundary Conditions
    Equations for Bigyotropic Media
    Uniform Plane Waves
    General Relations
    Longitudinal Magnetization
    Transverse Magnetization
    Energy Relations
    Equation of Energy Balance
    Energy Losses
    Perturbation Method
    Gyrotropic Perturbation of a Waveguide
    Gyrotropic Perturbation of a Resonator
    Quasistatic Approximation
    Resonator with Walls of Real Metal
    Waveguides and Resonators with Gyrotropic Media. Microwave Ferrite Devices
    Waveguide with Longitudinally Magnetized Medium
    Circular Waveguide
    Circular Waveguide with Ferrite Rod
    Faraday Ferrite Devices
    Waveguide with Transversely Magnetized Ferrite
    Rectangular Waveguide Filled with Ferrite
    Rectangular Waveguide with Ferrite Plates
    Microwave Ferrite Devices
    Resonators with Gyrotropic Media
    Eigenoscillations and Forced Oscillations
    Waveguide Resonators
    Ferrite Resonators
    Use of Perturbation Method
    Waveguides and Waveguide Junctions with Ferrite Samples
    Ferrite Ellipsoid in a Waveguide
    Coupling of Orthogonal Waveguides. Ferrite Band-Pass Filters
    General Properties of Nonreciprocal Junctions
    Magnetostatic Waves and Oscillations
    Magnetostatic Approximation
    Nonexchange Magnetostatic Waves in Plates and Rods
    Volume Waves in Plates
    Surface Waves
    Magnetostatic Waves in Waveguides with Finite Cross Section
    Energy Flow and Losses
    Magnetostatic Waves in Ferrite Films: Excitation, Applications
    Magnetostatic Oscillations (Walker's Modes)
    Metallized Cylinder
    Sphere and Ellipsoid of Revolution
    Damping, Excitation, and Coupling
    Spin Waves
    Spin Waves in Unbounded Ferromagnet
    Energy and Effective Field of Exchange Interaction
    Dispersion Law
    Magnetization, Field Components, and Damping
    Spin Waves in Bounded Bodies
    Exchange Boundary Conditions
    Standing Spin Waves in Films
    Propagating Spin Waves in Films
    Spin Waves in Nonuniform Magnetic Fields
    Quantization of Magnetic Oscillations and Waves
    Thermal Magnons
    Elements of Microscopic Spin-Wave Theory
    Diagonalization of the Hamiltonian
    Discussion of the Dispersion Law
    Allowance for Dipole-Dipole Interaction and Anisotropy
    Interaction of Magnons
    Magnetic Oscillations and Waves in Unsaturated Ferromagnet
    Oscillations of Domain Walls
    Domain Walls and Domain Structures
    Equation of Motion of a Domain Wall
    Dynamic Susceptibility
    Ferromagnetic Resonance in Samples with Domain Structure
    Ellipsoid of Uniaxial Ferromagnet
    Sphere of Cubic Ferromagnet
    Nonuniform Modes in Unsaturated Samples
    Nonlinear Oscillations of Magnetization
    Ferromagnetic Resonance in Strong Alternating Fields
    Rigorous Solution of Equation of Motion
    Approximate Methods
    Harmonic Generation and Frequency Conversion
    Frequency Doubling
    Frequency Mixing
    Parametric Excitation of Magnetic Oscillations and Waves
    Nonlinear Coupling of Magnetic Modes
    Thresholds of Parametric Excitation under Transverse Pumping
    First-Order and Second-Order Instabilities
    Threshold Fields
    Effect of Pumping-Field Polarization
    Longitudinal and Oblique Pumping
    Longitudinal Pumping
    Effect of Nonuniformities
    Oblique Pumping
    Instability of Nonuniform Modes and Nonuniform Pumping
    Parametric Excitation of Magnetostatic Oscillations and Waves
    Ferrite Parametric Amplifier
    Nonuniform Pumping
    Above-Threshold State
    Reaction of Parametric Spin Waves on Pumping
    Phase Mechanism
    Nonlinear Damping
    Stability of the Above-Threshold State
    Nonlinear Microwave Ferrite Devices
    Spin-Spin Relaxation
    Relaxation Processes in Magnetically Ordered Substances
    Kinds of Relaxation Processes
    Methods of Theoretical Study
    Inherent Spin-Spin Processes
    Three-Magnon Splitting
    Three-Magnon Confluence
    Four-Magnon Scattering
    Inherent Processes for Uniform Precession
    Experimental Data
    Two-Magnon Processes
    Theory of Two-Magnon Processes
    Disorder in Distribution of Ions over Lattice Sites
    Anisotropy-Field Variation and Pores in Polycrystals
    Surface Roughness
    Magnetoelastic Coupling
    Elastic Properties and Magnetoelastic Interaction
    Elastic Waves and Oscillations
    Magnetoelastic Energy and Equations of Motion
    Effect of Elastic Stresses on Ferromagnetic Resonance
    Magnetoelastic Waves
    Normal Waves
    Damping and Excitation
    Magnetoelastic Waves in Nonuniform Steady Magnetic Field
    Parametric Excitation of Magnetoelastic Waves
    Longitudinal Pumping of Magnetoelastic Waves
    Parametric Excitation Caused by Magnetoelastic Coupling
    Elastic Pumping
    Spin-Lattice Relaxation
    Ionic Anisotropy and Relaxation
    Anisotropy Caused by Impurity Ions
    Energy Levels of Ions
    One-Ion Theory of Ferromagnetic-Resonance Anisotropy
    Near-Crossing Energy Levels
    Experimental Data
    Ion Relaxation Processes
    Transverse Relaxation
    Longitudinal (Slow) Relaxation
    Relaxation of Ionic-Level Populations
    Experimental Data
    Interaction of Magnetic Oscillations and Waves with Charge Carriers
    Effect of Charge Carriers in Semiconductors
    Damping of Magnetic Oscillations Caused by Conductivity
    Influence of Interionic Electron Transitions
    Interaction of Spin Waves with Charge Carriers
    Ferromagnetic Resonance and Spin Waves in Metals
    Thin-Film Model
    Theory without Allowance for Exchange Interaction
    Influence of Exchange Interaction
    Processes of Magnetic Relaxation
    Units and Constants
    Demagnetization Factors
    Dirac Delta Function and Kronecker Delta Symbol
    Subject Index to the Bibliography


    A.G. Gurevich, Ph.D., D.Sci. Chief Researcher and Professor, Magnetic Laboratory, Ioffe Physico-Technical Institute, St. Petersburg, Russia. G.A. Melkov, Ph.D., D.Sci. Professor, Dean of Department, Radiophysical Shevchenko Kiev National University Kiev, Ukraina