Magnetics, Dielectrics, and Wave Propagation with MATLAB® Codes  book cover
1st Edition

Magnetics, Dielectrics, and Wave Propagation with MATLAB® Codes

ISBN 9781439841990
Published September 3, 2010 by CRC Press
476 Pages 202 B/W Illustrations

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Book Description

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 MATLAB® 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.

Table of Contents

Review of Maxwell Equations and Units
Maxwell Equations in MKS System of Units
Major and Minor Magnetic Hysteresis Loops
Tensor and Dyadic Quantities
Maxwell Equations in Gaussian System of Units
External, Surface, and Internal Electromagnetic Fields

Classical Principles of Magnetism
Historical Background
First Observation of Magnetic Resonance
Definition of Magnetic Dipole Moment
Magnetostatics of Magnetized Bodies
Electrostatics of Electric Dipole Moment
Relationship between B and H Fields
General Definition of Magnetic Moment
Classical Motion of the Magnetic Moment

Introduction to Magnetism
Energy Levels and Wave Functions of Atoms
Intra-Exchange Interactions
Heisenberg Representation of Exchange Coupling
Multiplet States
Hund Rules
Spin–Orbit Interaction
Lande gJ-Factor
Effects of Magnetic Field on a Free Atom
Crystal Field Effects on Magnetic Ions
Super-exchange Coupling between Magnetic Ions
Double Super-exchange Coupling
Ferromagnetism in Magnetic Metals

Free Magnetic Energy
Thermodynamics of Non-interacting Spins: Paramagnets
Ferromagnetic Interaction in Solids
Ferrimagnetic Ordering
Spinwave Energy
Effects of Thermal Spinwave Excitations
Free Magnetic Energy
Single Ion Model for Magnetic Anisotropy
Pair Model
Demagnetizing Field Contribution to Free Energy
Numerical Examples
Cubic Magnetic Anisotropy Energy
Uniaxial Magnetic Anisotropy Energy

Phenomenological Theory
Smit and Beljers Formulation
Examples of Ferromagnetic Resonance
Simple Model for Hysteresis
General Formulation
Connection between Free Energy and Internal Fields
Static Field Equations
Dynamic Equations of Motion
Microwave Permeability
Normal Modes
Magnetic Relaxation
Free Energy of Multi-Domains

Electrical Properties of Magneto-Dielectric Films
Basic Difference between Electric and Magnetic Dipole Moments
Electric Dipole Orientation in a Field
Equation of Motion of Electrical Dipole Moment in a Solid
Free Energy of Electrical Materials
Magneto-Elastic Coupling
Microwave Properties of Perfect Conductors
Principles of Superconductivity: Type I
Magnetic Susceptibility of Superconductors: Type I
London’s Penetration Depth
Type-II Superconductors
Microwave Surface Impedance
Conduction through a Non-Superconducting Constriction
Isotopic Spin Representation of Feynman Equations

Kramers–Kronig Equations

Electromagnetic Wave Propagation in Anisotropic Magneto-Dielectric Media
Spinwave Dispersions for Semi-Infinite Medium
Spinwave Dispersion at High k-Values
The k¼0 Spinwave Limit
Surface or Localized Spinwave Excitations
Pure Electromagnetic Modes of Propagation: Semi-Infinite Medium
Coupling of the Equation of Motion and Maxwell’s Equations
Normal Modes of Spinwave Excitations
Magnetostatic Wave Excitations
Ferrite Bounded by Parallel Plates

Spin Surface Boundary Conditions
A Quantitative Estimate of Magnetic Surface Energy
Another Source of Surface Magnetic Energy
Static Field Boundary Conditions
Dynamic Field Boundary Conditions
Applications of Boundary Conditions
Electromagnetic Spin Boundary Conditions

Matrix Representation of Wave Propagation
Matrix Representation of Wave Propagation in Single Layers
Ferromagnetic Resonance in Composite Structures: No Exchange Coupling
Ferromagnetic Resonance in Composite Structures: Exchange Coupling


Each chapter concludes with Problems, References, and Solutions

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Carmine Vittorias 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.


... Even if you thought you understood magnetism, it is likely that you would learn a lot ... Many books on magnetism end where Vittoria’s is just beginning. ... An unusual feature of Vittoria’s book are the solutions that are included to the problems at the end of each chapter. These solutions form a lengthy set of examples for sorting out the many theories and models now used in trying to understand magnetism. ... If you make magnetism your profession, or are just casually involved with magnetic materials, it is worth reading a book such as Vittoria’s. ... about as approachable as this subject can get.
--Alfy Riddle, IEEE Microwave Magazine