Skip to:Content
|
Bottom
Cover image for Magnetics, dielectrics, and wave propagation with MATLAB codes
Title:
Magnetics, dielectrics, and wave propagation with MATLAB codes
Personal Author:
Publication Information:
Boca Raton, FL. : CRC Press, c2011.
Physical Description:
xvii, 450 p., [4] p. of plates : ill. (some col.) ; 25 cm.
ISBN:
9781439841990

Available:*

Library
Item Barcode
Call Number
Material Type
Item Category 1
Status
Searching...
30000010261897 QC760.4.M37 V58 2011 Open Access Book Book
Searching...

On Order

Summary

Summary

Because future microwave, magnetic resonance, and wave propagation systems will involve miniature devices, nanosize structures, multifunctional applications, and composites of various types of materials, their development requires distinctly multidisciplinary collaborations. That means specialized approaches will not be sufficient to satisfy requirements.

Anticipating that many students lack specialized training in magnetism and magnetics, Magnetics, Dielectrics, and Wave Propagation with MATLABĀ® Codes avoids application-specific descriptions.Instead, it connects phenomenological approaches with comprehensive microscopic formulations to provide a new and sufficiently broad physical perspective on modern trends in microwave technology. Reducing complex calculation approaches to their simplest form, this book's strength is in its step-by-step explanation of the procedure for unifying Maxwell's equations with the free energy via the equation of motion. With clear and simple coverage of everything from first principles to calculation tools, it revisits the fundamentals that govern the phenomenon of magnetic resonance and wave propagation in magneto-dielectric materials.

Introduces constitutive equations via the free energy, paving the way to consider wave propagation in any media

This text helps students develop an essential understanding of the origin of magnetic parameters from first principles, as well as how these parameters are to be included in the large-scale free energy. More importantly, it facilitates successful calculation of said parameters, which is required as the dimensionality of materials is reduced toward the microscopic scale. The author presents a systematic way of deriving the permeability tensor of the most practical magnetic materials, cubic and hexagonal crystal structures. Using this simple and very general approach, he effectively bridges the gap between microscopic and macroscopic principles as applied to wave propagation.


Author Notes

Carmine Vittoria's career spans 40-45 years in academia and research establishments. His approach to scientific endeavors has been to search for the common denominator or thread that links the various sciences to make some logical sense. The fields of study include physics, electrical engineering, ceramics, metallurgy, surface or interfaces, nano-composite films. His interest in science ranges from the physics of particle-particle interaction at the atomic scale to nondestructive evaluation of bridge structures, from EPR of a blood cell to electronic damage in the presence of gamma rays, from design of computer chips to radar systems, from microscopic interfacial structures to thin film composites. The diversity and seriousness of his work and his commitment to science are evident in the ~ 400 publications in peer-reviewed journals, patents, and two other scientific books. Dr. Vittoria is also the author of a nonscientific book on soccer for children. He is a life fellow of the IEEE (1990) and an APS fellow (1985). He has received research awards and special patent awards from government research laboratories.

Dr. Vittoria was appointed to a professorship position in 1985 in the Electrical Engineering Department at Northeastern University, and was awarded the distinguished professorship position in 2001 and a research award in 2007 by the College of Engineering. In addition, he was cited for an outstanding teacher award by the special need students at Northeastern University. His teaching assignments included electromagnetics, antenna theory, microwave networks, wave propagation in magneto-dielectrics, magnetism and superconductivity, electronic materials, microelectronic circuit designs, circuit theory, electrical motors, and semiconductor devices.


Table of Contents

Prefacep. xi
Acknowledgmentsp. xv
Authorp. xvii
1 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
Appendix 1.A Conversion of Unitsp. 16
Referencesp. 18
Solutionsp. 19
2 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
Appendix 2.A

p. 52

Referencesp. 53
Solutionsp. 53
3 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 g j -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
Appendix 3.A Matrix Representation of Quantum Mechanicsp. 109
Referencesp. 112
Solutionsp. 113
4 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
5 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
6 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
Appendix 6.A

p. 262

Referencesp. 263
Solutionsp. 264
7 Kramers-Kronig Equationsp. 271
Problemsp. 276
Referencesp. 277
Solutionsp. 277
8 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
Appendix 8.A

p. 328

Perpendicular Casep. 332
In Plane Casep. 333
Referencesp. 334
Solutionsp. 335
9 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
Appendix 9.A

p. 358

Perpendicular Casep. 358
In Plane Casep. 365
Referencesp. 378
Solutionsp. 378
10 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
Appendix 10.A

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
Go to:Top of Page