Magnetization Oscillations and Waves: 1st Edition (Hardback) book cover

Magnetization Oscillations and Waves

1st Edition

By Alexander G. Gurevich, Gennadii A. Melkov

CRC Press

464 pages

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Hardback: 9780849394607
pub: 1996-09-17
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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.

Table of Contents

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


Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Physics