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Book Description

Tunable Materials with Applications in Antennas and Microwaves is a stimulating topic in these modern times.

With the explosion of the new generation of the wireless world, greater emphasis than ever before is being placed on the analysis and applications of modern materials. This book describes the characteristics of Ferrites and Ferroelectrics and introduces the reader to Multiferroics.

  1. Represents, in a simple manner, the solid state physics and explains the permittivity and permeability tensor characteristics for the tunable materials of infinite and finite dimensions.
  2. Gives the applications of tunable materials in resonators, filters, microstrips, striplines, antennas, phase shifters, capacitors, varactors, and frequency selective surfaces.
  3. Describes in detail the mathematical analysis for spin and magnetostatic waves for infinite medium, thin slab films, and finite circular discs. The analysis contains original work, which the reader may extend in the future.
  4. Provides multiferroics, which are ferrite and ferroelectric composites. Multiferroics are very promising tunable materials which are believed will offer many applications in the near future.
  5. Contains the planar transmission lines with analytic formulas for multilayer microstrips, transmission lines, and waveguides with isotropic as well as anisotropic dielectric and magnetic materials. Also, gives the formulas to analyze the layered category of transmission lines with multiferroics.

This book is intended for antenna and microwave engineers as well as for graduate students of Materials Science and Engineering, Electrical & Computer Engineering, and Physics Departments.

Table of Contents

  1. List of Figures (1/2)
  2. List of Figures (2/2)
  3. List of Tables
  4. Preface
  5. Acknowledgments
  6. Ferrites and Ferroelectrics
    1. Tunable Electromagnetic Materials
    2. Overview of the Evolution of Ferrites
    3. Ferroelectrics
      1. Bulk Ferroelectrics
      2. Thin Film Ferroelectrics
    4. Ferrite–Ferroelectric Films
    5. Tunable Frequency Selective Surfaces (FSSs)
    6. References (1/2)
    7. References (2/2)
  7. Tunable Materials–Characteristics and Constitutive Parameters
    1. Introduction
    2. Microwave Ferrites
      1. Historical Evolution
      2. Unique Ferrite Features
      3. Integration of Microwave Magnetic
      4. Basic Properties of Magnetic Materials
      5. Electron Magnetic Moment—Bohr Magneton
      6. Properties and Types of Magnetic Materials
    3. Ferrimagnetics: Ferrite Materials and Magnetic Garnets
      1. Spinnel Ferrites
      2. Hexagonal Ferrites or Hexaferrites–Permanent Magnetic Ferrites
      3. Magnetic Garnets
    4. Ferrite Films
      1. Garnet Monocrystallized Films
      2. Polycrystalline Ferrite Films
    5. Ferrite Films and MMIC Combatibility
    6. Ferrite Constitutive Relations
      1. Magnetization Equations
      2. Permeability Tensor
      3. Axial Magnetization in Cylindrical Coordinates
      4. Circumferential Magnetization in Cylindrical Coordinates
      5. Magnetization at an Arbitrary Direction in Cartesian Coordinates
      6. Permeability Tensor: Taking Losses into Account
    7. Dielectric Properties of Ferrites
      1. Electronic Polarizability (_e)
      2. Ionic or Atomic Polarizability (_i)
      3. Permanent Dipole Polarizility (_d)
      4. Space Charge Polarizability (_s)
      5. Dielectric Losses
      6. Conduction Mechanism in Ferrites and Garnets
      7. Magnetic Losses
    8. Ferroelctric Properties
      1. Electric Polarization–Permittivity
    9. Ferroelectricity
    10. Hysteresis Loop
    11. Ferroelectric Materials—Perovskites
    12. The Perovskite Crystal Structure
    13. Ferroelectricity as a Result of Crystallic Asymmetry
    14. Paraelectric Phase
    15. Quantum or Incipient Ferroelectric
    16. Perovskite Superlattices
    17. Conventional Ferroelectrics—Temperature and DC Bias Dependence
    18. Superconductor Perovskites
    19. Ferroelectric Layers and Electrode Interfaces
    20. Hysteresis Loop of Ferroelectrics
    21. Theory of the Ferroelectric Dielectric Response
    22. Ferroelectric Tunability
    23. Ferroelectric Microwave Losses
      1. Intrinsic Losses
      2. Extrinsic Losses
      3. Losses Due to Charged Defects
      4. Losses of Local Polar Regions
    24. References
  8. Finite Ferrite Samples
    1. Demagnitization Factors and Ferrite Samples
    2. Spin Waves and Magnetostatic Waves
    3. Low– vs. High–Order Spin Waves
    4. Magnetostatic Modes
    5. Spin–Wave Spectrum Manifold
    6. Exchange–Field Interaction
    7. Anisotropy Energy
    8. Magnetization Equation for Spin Waves
    9. Spin Waves as Magnons
    10. Spin Waves in an Infinite Medium
    11. Spin Waves Including Dipolar Interactions
    12. Spin–Waves Accounting for Dipole–Dipole Interaction
    13. Spin–Wave Manifold
    14. Preliminaries to Spin–Wave Excitation
    15. Spin Waves in a Finite Sample
    16. Magnetostatic Waves
    17. Susceptibility and Characteristic Equation–Uniform Mode
    18. The Magnetostatic Equation of a Uniformly Biased Specimen
    19. Magnetostatic Modes in an Infinite Medium
    20. Magnetostatic Manifold
    21. Magnetostatic Modes of an Infinitely Extending Thin Slab Film
      1. Phase and Group Velocities of MSFVW
    22. Longitudinally Magnetized Infinitely Extending Thin Slabs (1/2)
    23. Longitudinally Magnetized Infinitely Extending Thin Slabs (2/2)
      1. Magnetostatic Volume Modes (1+X)<0
    24. Magnetostatic Surface Waves (1+X)> 0
      1. MSSW Propagating in the y–Direction (k_z=0)
      2. Non–Reciprocal Surface–Wave Modes
      3. Polarization of Magnetostatic Waves
      4. Polarization of MSSW Modes
      5. Graphic Representation of Magnetostatic Waves
      6. Magnetostatic Modes in an Infinite Circular Disk-Perpendicular Magnetization
      7. Finite Ferrite Disks
      8. Finite Cylindrically Symmetric Samples–Rods
      9. Faraday Rotation–Circular Polarization (CP)
    25. Magnetostatic Waves on Multilayer and Grounded Structures
      1. Grounded Ferrite Slab
      2. Magnetostatic Volume Modes: (1+X) < 0
      3. Surface Wave Modes: (1+X) > 0
      4. Surface Waves Propagating Only in the –Direction (k_z=0)
      5. Grounded Dielectric–Ferrite Layers
      6. Magnetostatic Volume Modes (1+X) < 0
      7. Volume Modes Propagating Only in the z–Direction (k_y=0)
      8. Magnetostatic Surface Modes (1+X)>0
      9. Surface Waves Propagating Only in the –Direction (k_z=0)
      10. Magnetostatic Modes of a Finite Width Slab
      11. Surface Modes of Finite Width Slab (-w/2 z w/2)
      12. Volume Modes of a Slab Finite in the z–Dimension
      13. Volume Modes of a Slab Finite in y–Dimension
    26. Transversely Biased Grounded Dielectric–Ferrite Layers
    27. Shielded Dielectric–Ferrite Layers
      1. Transversely Magnetized Shielded Dielectric–Ferrite Layers (MSFVW)
    28. Longitudinally Magnetized Shielded Dielectric Ferrite Layers
      1. Magnetostatic Volume Modes
      2. Magnetostatic Surface Modes (1+X) > 0
    29. Magnetized and Spin Waves in Ferrite Slab with Losses
    30. Magnetostatic Wave Spectrum in the Presence of Losses
    31. References
  9. Multiferroics: Ferrite–Ferroelectric Composites
    1. Introduction
    2. Multiferroic Properties
    3. Topologies—Connectivity at Two–Phase Composites
    4. Multiferroics Constitutive Relations
    5. References
  10. Planar Transmission Lines
    1. Introduction
    2. Multilayer Microstrip Lines
    3. Three–Layers Microstrip Line
    4. Multiple Dielectric Layer Microstrip Line
    5. Frequency Dispersion of Multilayer Microstrip Lines
    6. Equivalent Single–Layer Microstrip (SLR)
    7. Characteristic Impedance vs. Frequency, Z_0(f)
    8. Dielectric Losses
    9. Coplanar Transmission Lines
    10. Multilayer Coplanar Waveguide (CPW)
      1. Quasi–Static Approximation
    11. Symmetric Multilayer Coplanar Waveguides (w_1 = w_2 = w)
      1. Single–Layer CPW
    12. Multilayer CPW with Finite Ground Planes
      1. Characteristic Impedance
    13. Multilayer Coplanar Strips
    14. Microstrip Line on a Single Magnetic Substrate
    15. Microstrip on a Single Anisotropic Dielectric Substrate
    16. Microstrip Printed on a Weakly Magnetized Ferrite–Dielectric Substrate
    17. Microstrip Lines on Gyrotropic Substrate
    18. TEM Duality Principle in Gyrotropic Media
    19. References
  11. Authors' Biographies
  12. Blank Page (1/3)
  13. Blank Page (2/3)
  14. Blank Page (3/3)
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