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Tunable Materials–Characteristics and Constitutive Parameters
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Tunable Materials–Characteristics and Constitutive Parameters
by John N. Sahalos, George A. Kyriacou, Constantine A.
Tunable Materials with Applications in Antennas and Microwaves
List of Figures (1/2)
List of Figures (2/2)
List of Tables
Preface
Acknowledgments
Ferrites and Ferroelectrics
Tunable Electromagnetic Materials
Overview of the Evolution of Ferrites
Ferroelectrics
Bulk Ferroelectrics
Thin Film Ferroelectrics
Ferrite–Ferroelectric Films
Tunable Frequency Selective Surfaces (FSSs)
References (1/2)
References (2/2)
Tunable Materials–Characteristics and Constitutive Parameters
Introduction
Microwave Ferrites
Historical Evolution
Unique Ferrite Features
Integration of Microwave Magnetic
Basic Properties of Magnetic Materials
Electron Magnetic Moment—Bohr Magneton
Properties and Types of Magnetic Materials
Ferrimagnetics: Ferrite Materials and Magnetic Garnets
Spinnel Ferrites
Hexagonal Ferrites or Hexaferrites–Permanent Magnetic Ferrites
Magnetic Garnets
Ferrite Films
Garnet Monocrystallized Films
Polycrystalline Ferrite Films
Ferrite Films and MMIC Combatibility
Ferrite Constitutive Relations
Magnetization Equations
Permeability Tensor
Axial Magnetization in Cylindrical Coordinates
Circumferential Magnetization in Cylindrical Coordinates
Magnetization at an Arbitrary Direction in Cartesian Coordinates
Permeability Tensor: Taking Losses into Account
Dielectric Properties of Ferrites
Electronic Polarizability (_e)
Ionic or Atomic Polarizability (_i)
Permanent Dipole Polarizility (_d)
Space Charge Polarizability (_s)
Dielectric Losses
Conduction Mechanism in Ferrites and Garnets
Magnetic Losses
Ferroelctric Properties
Electric Polarization–Permittivity
Ferroelectricity
Hysteresis Loop
Ferroelectric Materials—Perovskites
The Perovskite Crystal Structure
Ferroelectricity as a Result of Crystallic Asymmetry
Paraelectric Phase
Quantum or Incipient Ferroelectric
Perovskite Superlattices
Conventional Ferroelectrics—Temperature and DC Bias Dependence
Superconductor Perovskites
Ferroelectric Layers and Electrode Interfaces
Hysteresis Loop of Ferroelectrics
Theory of the Ferroelectric Dielectric Response
Ferroelectric Tunability
Ferroelectric Microwave Losses
Intrinsic Losses
Extrinsic Losses
Losses Due to Charged Defects
Losses of Local Polar Regions
References
Finite Ferrite Samples
Demagnitization Factors and Ferrite Samples
Spin Waves and Magnetostatic Waves
Low– vs. High–Order Spin Waves
Magnetostatic Modes
Spin–Wave Spectrum Manifold
Exchange–Field Interaction
Anisotropy Energy
Magnetization Equation for Spin Waves
Spin Waves as Magnons
Spin Waves in an Infinite Medium
Spin Waves Including Dipolar Interactions
Spin–Waves Accounting for Dipole–Dipole Interaction
Spin–Wave Manifold
Preliminaries to Spin–Wave Excitation
Spin Waves in a Finite Sample
Magnetostatic Waves
Susceptibility and Characteristic Equation–Uniform Mode
The Magnetostatic Equation of a Uniformly Biased Specimen
Magnetostatic Modes in an Infinite Medium
Magnetostatic Manifold
Magnetostatic Modes of an Infinitely Extending Thin Slab Film
Phase and Group Velocities of MSFVW
Longitudinally Magnetized Infinitely Extending Thin Slabs (1/2)
Longitudinally Magnetized Infinitely Extending Thin Slabs (2/2)
Magnetostatic Volume Modes (1+X)<0
Magnetostatic Surface Waves (1+X)> 0
MSSW Propagating in the y–Direction (k_z=0)
Non–Reciprocal Surface–Wave Modes
Polarization of Magnetostatic Waves
Polarization of MSSW Modes
Graphic Representation of Magnetostatic Waves
Magnetostatic Modes in an Infinite Circular Disk-Perpendicular Magnetization
Finite Ferrite Disks
Finite Cylindrically Symmetric Samples–Rods
Faraday Rotation–Circular Polarization (CP)
Magnetostatic Waves on Multilayer and Grounded Structures
Grounded Ferrite Slab
Magnetostatic Volume Modes: (1+X) < 0
Surface Wave Modes: (1+X) > 0
Surface Waves Propagating Only in the –Direction (k_z=0)
Grounded Dielectric–Ferrite Layers
Magnetostatic Volume Modes (1+X) < 0
Volume Modes Propagating Only in the z–Direction (k_y=0)
Magnetostatic Surface Modes (1+X)>0
Surface Waves Propagating Only in the –Direction (k_z=0)
Magnetostatic Modes of a Finite Width Slab
Surface Modes of Finite Width Slab (-w/2 z w/2)
Volume Modes of a Slab Finite in the z–Dimension
Volume Modes of a Slab Finite in y–Dimension
Transversely Biased Grounded Dielectric–Ferrite Layers
Shielded Dielectric–Ferrite Layers
Transversely Magnetized Shielded Dielectric–Ferrite Layers (MSFVW)
Longitudinally Magnetized Shielded Dielectric Ferrite Layers
Magnetostatic Volume Modes
Magnetostatic Surface Modes (1+X) > 0
Magnetized and Spin Waves in Ferrite Slab with Losses
Magnetostatic Wave Spectrum in the Presence of Losses
References
Multiferroics: Ferrite–Ferroelectric Composites
Introduction
Multiferroic Properties
Topologies—Connectivity at Two–Phase Composites
Multiferroics Constitutive Relations
References
Planar Transmission Lines
Introduction
Multilayer Microstrip Lines
Three–Layers Microstrip Line
Multiple Dielectric Layer Microstrip Line
Frequency Dispersion of Multilayer Microstrip Lines
Equivalent Single–Layer Microstrip (SLR)
Characteristic Impedance vs. Frequency, Z_0(f)
Dielectric Losses
Coplanar Transmission Lines
Multilayer Coplanar Waveguide (CPW)
Quasi–Static Approximation
Symmetric Multilayer Coplanar Waveguides (w_1 = w_2 = w)
Single–Layer CPW
Multilayer CPW with Finite Ground Planes
Characteristic Impedance
Multilayer Coplanar Strips
Microstrip Line on a Single Magnetic Substrate
Microstrip on a Single Anisotropic Dielectric Substrate
Microstrip Printed on a Weakly Magnetized Ferrite–Dielectric Substrate
Microstrip Lines on Gyrotropic Substrate
TEM Duality Principle in Gyrotropic Media
References
Authors' Biographies
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Microwave Ferrites
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