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9781439841990

Magnetics, Dielectrics, and Wave Propagation with MATLAB« Codes

by ;
  • ISBN13:

    9781439841990

  • ISBN10:

    1439841993

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2010-09-03
  • Publisher: CRC Press

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Summary

This book describes wave propagation in magneto-dielectric materials. The text considers the magnetic state of a magnetic ion, for example, at the atomic scale, and provides a mathematical link to wave propagation at the macroscopic scale. It presents qualitative and quantitative arguments to calculate magnetic parameters from first principles. This book's theoretical approach combines macroscopic free magnetic energy with Maxwell's equations to yield wave propagation characteristics of magneto-dielectric materials. The author provides a clear understanding of the origin of magnetic parameters and how to calculate these parameters as the dimensionality of materials is reduced toward the microscopic scale.

Table of Contents

Prefacep. xi
Acknowledgmentsp. xv
Authorp. xvii
Review of Maxwell Equations and Unitsp. 1
Maxwell Equations in MKS System of Unitsp. 1
Major and Minor Magnetic Hysteresis Loopsp. 2
Tensor and Dyadic Quantitiesp. 6
Maxwell Equations in Gaussian System of Unitsp. 10
External, Surface, and Internal Electromagnetic Fieldsp. 12
Problemsp. 15
Conversion of Unitsp. 16
Referencesp. 18
Solutionsp. 19
Classical Principles of Magnetismp. 29
Historical Backgroundp. 29
First Observations of Magnetic Resonancep. 29
Definition of Magnetic Dipole Momentp. 30
Magnetostatics of Magnetized Bodiesp. 35
Electrostatics of Electric Dipole Momentp. 41
Relationship between B and H Fieldsp. 43
General Definition of Magnetic Momentp. 46
Classical Motion of the Magnetic Momentp. 48
Problemsp. 51
p. 52
Referencesp. 53
Solutionsp. 53
Introduction to Magnetismp. 61
Energy Levels and Wave Functions of Atomsp. 63
Spin Motionp. 67
Intra-Exchange Interactionsp. 70
Heisenberg Representation of Exchange Couplingp. 74
Multiplet Statesp. 75
Hund Rulesp. 78
Spin-Orbit Interactionp. 79
Lande gj-Factorp. 81
Effects of Magnetic Field on a Free Atomp. 83
Crystal Field Effects on Magnetic Ionsp. 88
Superexchange Coupling between Magnetic Ionsp. 92
Double Superexchange Couplingp. 101
Ferromagnetism in Magnetic Metalsp. 103
Problemsp. 107
Matrix Representation of Quantum Mechanicsp. 109
Referencesp. 112
Solutionsp. 113
Free Magnetic Energyp. 121
Thermodynamics of Noninteracting Spins: Paramagnetsp. 121
Ferromagnetic Interaction in Solidsp. 124
Ferrimagnetic Orderingp. 129
Spinwave Energyp. 131
Effects of Thermal Spinwave Excitationsp. 135
Free Magnetic Energyp. 136
Single Ion Model for Magnetic Anisotropyp. 137
Pair Modelp. 140
Demagnetizing Field Contribution to Free Energyp. 141
Numerical Examplesp. 143
Cubic Magnetic Anisotropy Energyp. 148
Uniaxial Magnetic Anisotropy Energyp. 150
Problemsp. 151
Referencesp. 152
Solutionsp. 153
Phenomenological Theoryp. 167
Smit and Beljers Formulationp. 167
Examples of Ferromagnetic Resonancep. 170
Simple Model for Hysteresisp. 181
General Formulationp. 187
Connection between Free Energy and Internal Fieldsp. 188
Static Field Equationsp. 189
Dynamic Equations of Motionp. 190
Microwave Permeabilityp. 196
Normal Modesp. 199
Magnetic Relaxationp. 203
Free Energy of Multi-Domainsp. 209
Problemsp. 212
Referencesp. 213
Solutionsp. 213
Electrical Properties of Magneto-Dielectric Filmsp. 229
Basic Difference between Electric and Magnetic Dipole Momentsp. 229
Electric Dipole Orientation in a Fieldp. 230
Equation of Motion of Electrical Dipole Moment in a Solidp. 231
Free Energy of Electrical Materialsp. 233
Magneto-Elastic Couplingp. 235
Microwave Properties of Perfect Conductorsp. 238
Principles of Superconductivity: Type Ip. 239
Magnetic Susceptibility of Superconductors: Type Ip. 245
London's Penetration Depthp. 246
Type-II Superconductorsp. 248
Microwave Surface Impedancep. 251
Conduction through a Non-Superconducting Constrictionp. 252
Isotopic Spin Representation of Feynman Equationsp. 255
Problemsp. 260
p. 262
Referencesp. 263
Solutionsp. 264
Kramers-Kronig Equationsp. 271
Problemsp. 276
Referencesp. 277
Solutionsp. 277
Electromagnetic Wave Propagation in Anisotropic Magneto-Dielectric Mediap. 281
Spinwave Dispersions for Semi-Infinite Mediump. 286
Spinwave Dispersion at High k-Valuesp. 287
The k = 0 Spinwave Limitp. 288
Spherep. 288
Thin Filmsp. 289
Needlep. 291
Surface or Localized Spinwave Excitationsp. 292
Pure Electromagnetic Modes of Propagation: Semi-Infinite Mediump. 295
Coupling of the Equation of Motion and Maxwell's Equationsp. 296
Normal Modes of Spinwave Excitationsp. 308
Magnetostatic Wave Excitationsp. 313
$$$ Perpendicular to Film Planep. 314
$$$ in the Film Planep. 321
Ferrite Bounded by Parallel Platesp. 325
Problemsp. 327
p. 328
Perpendicular Casep. 332
In Plane Casep. 333
Referencesp. 334
Solutionsp. 335
Spin Surface Boundary Conditionsp. 339
A Quantitative Estimate of Magnetic Surface Energyp. 341
Another Source of Surface Magnetic Energyp. 343
Static Field Boundary Conditionsp. 344
Dynamic Field Boundary Conditionsp. 346
Applications of Boundary Conditionsp. 348
$$$ to the Film Planep. 348
$$$ to the Film Planep. 352
Electromagnetic Spin Boundary Conditionsp. 353
Problemsp. 357
p. 358
Perpendicular Casep. 358
In Plane Casep. 365
Referencesp. 378
Solutionsp. 378
Matrix Representation of Wave Propagationp. 387
Matrix Representation of Wave Propagation in Single Layersp. 387
$$$ Casep. 388
$$$ Casep. 392
The Incident Fieldp. 393
Ferromagnetic Resonance in Composite Structures: No Exchange Couplingp. 397
Ferromagnetic Resonance in Composite Structures: Exchange Couplingp. 401
$$$ Casep. 402
Boundary Conditionsp. 405
$$$ Casep. 409
Boundary Conditions (// FMR)p. 410
Problemsp. 413
p. 414
Calculation of Transmission Line Parameters from [A] Matrixp. 414
Microwave Response to Microwave Cavity Loaded with Magnetic Thin Filmp. 427
Referencesp. 432
Solutionsp. 433
Indexp. 441
Table of Contents provided by Ingram. All Rights Reserved.

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