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Waves and Fields in Inhomogenous Media

Cover Image Copyright Year: 1995
Author(s): Chew, W.
Publisher: Wiley-IEEE Press
Content Type : Books & eBooks
Topics: Fields, Waves & Electromagnetics
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Abstract

Electrical Engineering/Electromagnetics Waves and Fields in Inhomogeneous Media A Volume in the IEEE Press Series on Electromagnetic Waves Donald G. Dudley, Series Editor ".it is one of the best wave propagation treatments to appear in many years." Gerardo G. Tango, CPG, Consulting Seismologist-Acoustician, Covington, LA This comprehensive text thoroughly covers fundamental wave propagation behaviors and computational techniques for waves in inhomogeneous media. The author describes powerful and sophisticated analytic and numerical methods to solve electromagnetic problems for complex media and geometry as well. Problems are presented as realistic models of actual situations which arise in the areas of optics, radio wave propagation, geophysical prospecting, nondestructive testing, biological sensing, and remote sensing. Key topics covered include: * Analytical methods for planarly, cylindrically and spherically layered media * Transient waves, including the Cagniard-de Hoop method * Variational methods for the scalar wave equation and the electromagnetic wave equation * Mode-matching techniques for inhomogeneous media * The Dyadic Green's function and its role in simplifying problem-solving in inhomogeneous media * Integral equation formulations and inverse problems * Time domain techniques for inhomogeneous media This book will be of interest to electromagnetics and remote sensing engineers, physicists, scientists, and geophysicists. This IEEE Press reprinting of the 1990 version published by Van Nostrand Reinhold incorporates corrections and minor updating. Also in the series. Mathematical Foundations for Electromagnetic Theory by Donald G. Dudley, University of Arizona at Tucson This volume in the series lays the mathematical foundations for the study of advance d topics in electromagnetic theory. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. 1994 Hardcover 264 pp ISBN 0-7803-1022-5 IEEE Order No. PC3715 About the Series The IEEE Press Series on Electromagnetic Waves consists of new titles as well as reprints and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level.

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      Mode Matching Method

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch6
      Page(s): 327 - 374
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Eigenmodes of a Planarly Layered Medium
      Eigenfunction Expansion of a Field
      Reflection and Transmission at a Junction Discontinuity
      A Numerical Method to Find the Eigenmodes
      The Cylindrically Layered Medium Case
      The Multiregion Problem

      This chapter contains sections titled: Exercises for Chapter 6
      References for Chapter 6
      Further Readings for Chapter 6

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      Frontmatter

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.fmatter
      Page(s): i - xxii
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

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

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      Preliminary Background

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch1
      Page(s): 1 - 44
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Maxwell's Equations
      Scalar Wave Equations
      Vector Wave Equations
      Huygens' Principle
      Uniqueness Theorem

      This chapter contains sections titled: Exercises for Chapter 1
      References for Chapter 1
      Further Readings for Chapter 1

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      Planarly Layered Media

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch2
      Page(s): 45 - 160
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: One-Dimensional Planar Inhomogeneity
      Spectral Representations of Sources
      A Source on Top of a Layered Medium
      A Source Embedded in a Layered Medium
      Asymptotic Expansions of Integrals
      Dipole Over Layered Media - Asymptotic Expansions
      Singularities of the Sommerfeld Integrals
      WKB Method
      Propagator Matrix
      Waves in Anisotropic, Layered Media

      This chapter contains sections titled: Exercises for Chapter 2
      References for Chapter 2
      Further Readings for Chapter 2

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      Cylindrically and Spherically Layered Media

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch3
      Page(s): 161 - 209
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Cylindrically Layered Media - Single Interface Case
      Cylindrically Layered Media - Multi-Interface Case
      Source in a Cylindrically Layered Medium
      Propagator Matrix - Cylindrical Layers
      Spherically Layered Media - Single Interface Case
      Spherically Layered Media - Multi-Interface Case
      Source in a Spherically Layered Medium
      Propagator Matrix - Spherical Layers

      This chapter contains sections titled: Exercises for Chapter 3
      References for Chapter 3
      Further Readings for Chapter 3

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      Transients

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch4
      Page(s): 211 - 269
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Causality of Transient Response
      The Cagniard-de Hoop Method
      Multi-interface Problems
      Direct Inversion
      Numerical Integration of Fourier Integrals
      Finite-Difference Method
      Absorbing Boundary Conditions

      This chapter contains sections titled: Exercises for Chapter 4
      References for Chapter 4
      Further Readings for Chapter 4

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      Variational Methods

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch5
      Page(s): 271 - 326
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Review of Linear Vector Space
      Variational Expressions for Self-Adjoint Problems
      Variational Expressions for Non-Self-Adjoint Problems
      Variational Expressions for Eigenvalue Problems
      Essential and Natural Boundary Conditions

      This chapter contains sections titled: Exercises for Chapter 5
      References for Chapter 5
      Further Readings for Chapter 5

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      Dyadic Green's Functions

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch7
      Page(s): 375 - 428
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Dyadic Green's Function in a Homogeneous Medium
      Vector Wave Functions
      Dyadic Green's Function Using Vector Wave Functions
      Dyadic Green's Functions for Layered Media

      This chapter contains sections titled: Exercises for Chapter 7
      References for Chapter 7
      Further Readings for Chapter 7

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      Integral Equations

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch8
      Page(s): 429 - 509
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Surface Integral Equations
      Solutions by the Method of Moments
      Extended-Boundary-Condition Method
      The Transition and Scattering Matrices
      The Method of Rayleigh's Hypothesis
      Scattering by Many Scatterers
      Scattering by Multilayered Scatterers
      Surface Integral Equation with Finite-Element Method
      Volume Integral Equations
      Approximate Solutions of the Scattering Problem

      This chapter contains sections titled: Exercises for Chapter 8
      References for Chapter 8
      Further Readings for Chapter 8

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      Inverse Scattering Problems

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.ch9
      Page(s): 511 - 570
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This chapter contains sections titled: Linear Inverse Problems
      One-Dimensional Inverse Problems
      Higher-Dimensional Inverse Problems

      This chapter contains sections titled: Exercises for Chapter 9
      References for Chapter 9
      Further Readings for Chapter 9

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      Appendix A: Some Useful Mathematical Formulas

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.app1
      Page(s): 571 - 576
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This appendix contains sections titled:
      Useful Vector Identities
      Gradient, Divergence, Curl, and Laplacian in Rectangular, Cylindrical, Spherical, and General Orthogonal Curvilinear Coordinate Systems
      Useful Integral Identities
      Integral Transforms View full abstract»

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      Appendix B: Review of Tensors

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.app2
      Page(s): 577 - 582
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      Electrical Engineering/Electromagnetics Waves and Fields in Inhomogeneous Media A Volume in the IEEE Press Series on Electromagnetic Waves Donald G. Dudley, Series Editor ".it is one of the best wave propagation treatments to appear in many years." Gerardo G. Tango, CPG, Consulting Seismologist-Acoustician, Covington, LA This comprehensive text thoroughly covers fundamental wave propagation behaviors and computational techniques for waves in inhomogeneous media. The author describes powerful and sophisticated analytic and numerical methods to solve electromagnetic problems for complex media and geometry as well. Problems are presented as realistic models of actual situations which arise in the areas of optics, radio wave propagation, geophysical prospecting, nondestructive testing, biological sensing, and remote sensing. Key topics covered include: * Analytical methods for planarly, cylindrically and spherically layered media * Transient waves, including the Cagniard-de Hoop method * Variational methods for the scalar wave equation and the electromagnetic wave equation * Mode-matching techniques for inhomogeneous media * The Dyadic Green's function and its role in simplifying problem-solving in inhomogeneous media * Integral equation formulations and inverse problems * Time domain techniques for inhomogeneous media This book will be of interest to electromagnetics and remote sensing engineers, physicists, scientists, and geophysicists. This IEEE Press reprinting of the 1990 version published by Van Nostrand Reinhold incorporates corrections and minor updating. Also in the series. Mathematical Foundations for Electromagnetic Theory by Donald G. Dudley, University of Arizona at Tucson This volume in the series lays the mathematical foundations for the study of advance d topics in electromagnetic theory. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. 1994 Hardcover 264 pp ISBN 0-7803-1022-5 IEEE Order No. PC3715 About the Series The IEEE Press Series on Electromagnetic Waves consists of new titles as well as reprints and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level. View full abstract»

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

      Appendix C: Generalized Functions

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.app3
      Page(s): 583 - 590
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      Electrical Engineering/Electromagnetics Waves and Fields in Inhomogeneous Media A Volume in the IEEE Press Series on Electromagnetic Waves Donald G. Dudley, Series Editor ".it is one of the best wave propagation treatments to appear in many years." Gerardo G. Tango, CPG, Consulting Seismologist-Acoustician, Covington, LA This comprehensive text thoroughly covers fundamental wave propagation behaviors and computational techniques for waves in inhomogeneous media. The author describes powerful and sophisticated analytic and numerical methods to solve electromagnetic problems for complex media and geometry as well. Problems are presented as realistic models of actual situations which arise in the areas of optics, radio wave propagation, geophysical prospecting, nondestructive testing, biological sensing, and remote sensing. Key topics covered include: * Analytical methods for planarly, cylindrically and spherically layered media * Transient waves, including the Cagniard-de Hoop method * Variational methods for the scalar wave equation and the electromagnetic wave equation * Mode-matching techniques for inhomogeneous media * The Dyadic Green's function and its role in simplifying problem-solving in inhomogeneous media * Integral equation formulations and inverse problems * Time domain techniques for inhomogeneous media This book will be of interest to electromagnetics and remote sensing engineers, physicists, scientists, and geophysicists. This IEEE Press reprinting of the 1990 version published by Van Nostrand Reinhold incorporates corrections and minor updating. Also in the series. Mathematical Foundations for Electromagnetic Theory by Donald G. Dudley, University of Arizona at Tucson This volume in the series lays the mathematical foundations for the study of advance d topics in electromagnetic theory. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. 1994 Hardcover 264 pp ISBN 0-7803-1022-5 IEEE Order No. PC3715 About the Series The IEEE Press Series on Electromagnetic Waves consists of new titles as well as reprints and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level. View full abstract»

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

      Appendix D: Addition Theorems

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.app4
      Page(s): 591 - 596
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      This appendix contains sections titled: References for Appendices

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      Index

      Chew, W.
      Waves and Fields in Inhomogenous Media

      DOI: 10.1109/9780470547052.index
      Page(s): 599 - 608
      Copyright Year: 1995

      Wiley-IEEE Press eBook Chapters

      Electrical Engineering/Electromagnetics Waves and Fields in Inhomogeneous Media A Volume in the IEEE Press Series on Electromagnetic Waves Donald G. Dudley, Series Editor ".it is one of the best wave propagation treatments to appear in many years." Gerardo G. Tango, CPG, Consulting Seismologist-Acoustician, Covington, LA This comprehensive text thoroughly covers fundamental wave propagation behaviors and computational techniques for waves in inhomogeneous media. The author describes powerful and sophisticated analytic and numerical methods to solve electromagnetic problems for complex media and geometry as well. Problems are presented as realistic models of actual situations which arise in the areas of optics, radio wave propagation, geophysical prospecting, nondestructive testing, biological sensing, and remote sensing. Key topics covered include: * Analytical methods for planarly, cylindrically and spherically layered media * Transient waves, including the Cagniard-de Hoop method * Variational methods for the scalar wave equation and the electromagnetic wave equation * Mode-matching techniques for inhomogeneous media * The Dyadic Green's function and its role in simplifying problem-solving in inhomogeneous media * Integral equation formulations and inverse problems * Time domain techniques for inhomogeneous media This book will be of interest to electromagnetics and remote sensing engineers, physicists, scientists, and geophysicists. This IEEE Press reprinting of the 1990 version published by Van Nostrand Reinhold incorporates corrections and minor updating. Also in the series. Mathematical Foundations for Electromagnetic Theory by Donald G. Dudley, University of Arizona at Tucson This volume in the series lays the mathematical foundations for the study of advance d topics in electromagnetic theory. Important subjects covered include linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. 1994 Hardcover 264 pp ISBN 0-7803-1022-5 IEEE Order No. PC3715 About the Series The IEEE Press Series on Electromagnetic Waves consists of new titles as well as reprints and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level. View full abstract»