Field Theory of Guided Waves

Cover Image Copyright Year: 1991
Author(s): Robert E. Collin
Book Type: Wiley-IEEE Press
Content Type : Books & eBooks
Topics: Fields, Waves & Electromagnetics
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Abstract

"Co-published with Oxford University Press Long considered the most comprehensive account of electromagnetic theory and analytical methods for solving waveguide and cavity problems, this new Second Edition has been completely revised and thoroughly updated -- approximately 40% new material!Packed with examples and applications FIELD THEORY OF GUIDED WAVES provides solutions to a large number of practical structures of current interest. The book includes an exceptionally complete discussion of scalar and Dyadic Green functions. Both a valuable review and source of basic information on applied mathematical topics and a hands-on source for solution methods and techniques, this book belongs on the desk of all engineers working in microwave and antenna systems!"

Sponsored by:
IEEE Antennas and Propagation Society

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      Frontmatter

      Page(s): i - xii
      Copyright Year: 1991

      Wiley-IEEE Press eBook Chapters

      The prelims comprise:
      Title
      IEEE Press Board Page
      Copyright
      Contents
      Preface View full abstract»

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      Basic Electromagnetic Theory

      Copyright Year: 1991

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled:

    • Maxwell's Equations

    • Relation between Field Intensity Vectors and Flux Density Vectors

    • Electromagnetic Energy and Power Flow

    • Boundary Conditions and Field Behavior in Source Regions

    • Field Singularities at Edges

    • The Wave Equation

    • Auxiliary Potential Functions

    • Some Field Equivalence Principles

    • Integration of the Inhomogeneous Helmholtz Equation

    • Lorentz Reciprocity Theorem

    • This chapter contains sections titled:

    • References and Bibliography

    • Problems

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    Green's Functions

    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Green's Functions for Poisson's Equation

  • Modified Green's Functions

  • Sturm-Liouville Equation

  • Green's FunctionG(x,x?>)

  • Solution of Boundary-Value Problems

  • Multidimensional Green's Functions and Alternative Representations

  • Green's Function for a Line Source in a Rectangular Waveguide

  • Three-Dimensional Green's Functions

  • Green's Function as a Multiple-Reflected Wave Series

  • Free-Space Green's Dyadic Function

  • Modified Dyadic Green's Functions

  • Solution for Electric Field Dyadic Green's Function

  • Reciprocity Relation for Dyadic Green's Functions

  • Eigenfunction Expansions of Dyadic Green's Functions

  • Expansion of the Electric Field in Spherical Modes

  • Dyadic Green's Function Expansion in Cylindrical Coordinates

  • Alternative Representations for Dyadic Green's Functions

  • Dyadic Green's Functions and Field Equivalence Principles

  • Integral Equations for Scattering

  • Non-self-Adjoint Systems

  • Distribution Theory

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Transverse Electromagnetic Waves

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Plane TEM Waves

  • TEM Waves in Orthogonal Curvilinear Coordinate Systems

  • Reflection and Transmission at a Discontinuity Interface

  • Wave Matrices

  • Transmission through Dielectric Sheets

  • Reflection from a Finite Conducting Plane

  • Plane Waves in Anisotropic Dielectric Media

  • TEM Waves in a Ferrite Medium

  • Dyadic Green's Function for Layered Media

  • Wave Velocities

  • Point Source Radiation in Anisotropic Media

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Transmission Lines

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • General Transmission-Line Theory

  • The Characteristic Impedance of Transmission Lines

  • The Schwarz-Christoffel Transformation

  • Characteristic Impedance by Variational Methods

  • Characteristic Impedance of a Strip Line Determined by Variational Methods

  • Integral Equations for Planar Transmission Lines

  • Inhomogeneous Transmission Lines

  • Spectral-Domain Galerkin Method

  • Potential Theory for Microstrip Lines

  • Potential Theory for Coupled Microstrip Lines

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Waveguides and Cavities

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • General Properties of Cylindrical Waveguides

  • Orthogonal Properties of the Modes

  • Power, Energy, and Attenuation

  • The Rectangular Waveguide

  • Circular Cylindrical Waveguides

  • Green's Functions

  • Analogy with Transmission Lines

  • The Tangent Method for the Experimental Determination of the Equivalent-Circuit Parameters

  • Electromagnetic Cavities

  • Cavity with Lossy Walls

  • Variational Formulation for Cavity Eigenvalues

  • Cavity Perturbation Theory

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Inhomogeneously Filled Waveguides and Dielectric Resonators

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Dielectric-Slab-Loaded Rectangular Guides

  • The Rayleigh-Ritz Method

  • A dielectric Step Discontinuity

  • Ferrite Slabs in Rectangular Guides

  • Dielectric Waveguides

  • Dielectric Resonators

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Excitation of Waveguides and Cavities

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • The Probe Antenna

  • The Loop Antenna

  • Coupling by Small Apertures

  • Cavity Coupling by Small Apertures

  • General Remarks on Aperture Coupling

  • Transients in Waveguides

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Variational Methods for Waveguide Discontinuities

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Outline of Variational Methods

  • Capacitive Diaphragm

  • Thin Inductive Diaphragm in a Rectangular Guide

  • Thick Inductive Window

  • A Narrow Inductive Strip

  • Thin Inductive Post

  • General Formulas for Waveguide Scattering

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Periodic Structures

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Floquet's Theorem

  • Some Properties of Lossless Microwave Quadrupoles

  • Propagation in an Infinite Periodic Structure

  • Terminated Periodic Structure

  • Capacitively Loaded Rectangular Waveguide

  • Energy and Power Flow

  • Higher Order Mode Interaction

  • The Sheath Helix

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Integral Transform and functionTheoretic Techniques

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • An Electrostatic Problem

  • An Infinite Array of Parallel Metallic Plates

  • Application to Capacitive-Loaded Parallel-Plate Transmission Line

  • Inductive Semidiaphragm in a Rectangular Guide

  • Application to H-Plane Bifurcation

  • Parallel-Plate Waveguide Bifurcation

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Surface Waveguides

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Surface Waves along a Plane Interface

  • Surface Waves along an Impedance Plane

  • Conducting Plane with a Thin Dielectric Coating

  • Surface Waves along a Corrugated Plane

  • Surface Waves along Dielectric Slabs

  • Surface Waves on Cylindrical Structures

  • Field Orthogonality Properties

  • Excitation of Surface Waves

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Artificial Dielectrics

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Lorentz Theory

  • Electrostatic Solution

  • Evaluation of Interaction Constants

  • Sphere- and Disk-type Artificial Dielectrics

  • Transmission-Line Approach for a Disk Medium

  • Two-Dimensional Strip Medium

  • This chapter contains sections titled:

  • References and Bibliography

  • Problems

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    Mathematical Appendix

    Field Theory of Guided Waves
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    This chapter contains sections titled:

  • Vector Analysis

  • Dyadic Analysis

  • Matrices

  • Calculus of Variations

  • Infinite Products and the Gamma Function

  • Summation of Fourier Series

  • Fourier Transform in the Complex Domain

  • Wiener-Hopf Factorization

  • Asymptotic Evaluation of Integrals by the Saddle-Point Method

  • Special Functions

  • Vector Analysis Formulas

  • This chapter contains sections titled:

  • References and Bibliography

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    Name Index

    Field Theory of Guided Waves
    Page(s): 840 - 843
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    "Co-published with Oxford University Press Long considered the most comprehensive account of electromagnetic theory and analytical methods for solving waveguide and cavity problems, this new Second Edition has been completely revised and thoroughly updated -- approximately 40% new material!Packed with examples and applications FIELD THEORY OF GUIDED WAVES provides solutions to a large number of practical structures of current interest. The book includes an exceptionally complete discussion of scalar and Dyadic Green functions. Both a valuable review and source of basic information on applied mathematical topics and a hands-on source for solution methods and techniques, this book belongs on the desk of all engineers working in microwave and antenna systems!"

    Sponsored by:
    IEEE Antennas and Propagation Society View full abstract»

  • Full text access may be available. Click article title to sign in or learn about subscription options.

    Subject Index

    Field Theory of Guided Waves
    Page(s): 844 - 851
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    "Co-published with Oxford University Press Long considered the most comprehensive account of electromagnetic theory and analytical methods for solving waveguide and cavity problems, this new Second Edition has been completely revised and thoroughly updated -- approximately 40% new material!Packed with examples and applications FIELD THEORY OF GUIDED WAVES provides solutions to a large number of practical structures of current interest. The book includes an exceptionally complete discussion of scalar and Dyadic Green functions. Both a valuable review and source of basic information on applied mathematical topics and a hands-on source for solution methods and techniques, this book belongs on the desk of all engineers working in microwave and antenna systems!"

    Sponsored by:
    IEEE Antennas and Propagation Society View full abstract»

  • Full text access may be available. Click article title to sign in or learn about subscription options.

    About the Author

    Field Theory of Guided Waves
    Page(s): 852
    Copyright Year: 1991

    Wiley-IEEE Press eBook Chapters

    "Co-published with Oxford University Press Long considered the most comprehensive account of electromagnetic theory and analytical methods for solving waveguide and cavity problems, this new Second Edition has been completely revised and thoroughly updated -- approximately 40% new material!Packed with examples and applications FIELD THEORY OF GUIDED WAVES provides solutions to a large number of practical structures of current interest. The book includes an exceptionally complete discussion of scalar and Dyadic Green functions. Both a valuable review and source of basic information on applied mathematical topics and a hands-on source for solution methods and techniques, this book belongs on the desk of all engineers working in microwave and antenna systems!"

    Sponsored by:
    IEEE Antennas and Propagation Society View full abstract»



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