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Electromagnetic boundary problems

Author: Edward F Kuester; David C Chang
Publisher: Boca Raton : CRC Press, Taylor & Francis Group, [2016] ©2016
Series: Electromagnetics, wireless, radar, and microwaves
Edition/Format:   Print book : EnglishView all editions and formats

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Document Type: Book
All Authors / Contributors: Edward F Kuester; David C Chang
ISBN: 9781498730266 1498730264
OCLC Number: 907132703
Description: xxii, 341 pages : illustrations ; 24 cm.
Contents: List of Figures List of Tables Preface Author Bios Maxwell's Equations and Sources Maxwell Equations in Free Space Energy Transfer and Poynting's Theorem Macroscopic Maxwell Equations in Material Media Multipole Expansions for Charges and Currents Averaging of Charge and Current Densities Conduction, Polarization, and Magnetization Time-Harmonic Problems Duality; Equivalence; Surface Sources Duality and Magnetic Sources Stream Potentials Equivalence Principles Jump Conditions General Jump Conditions at a Stationary Surface Example: Thin-Sheet Boundary Conditions Jump Conditions at a Moving Surface Force on Surface Sources Example: Charge Dipole Sheet at a Dielectric Interface Problems Potential Representations of the Electromagnetic Field Lorenz Potentials and their Duals (A, PHI, F, PSI) Hertz Vector Potentials Jump Conditions for Hertz Potentials Time-Harmonic Hertz Potentials Special Hertz Potentials Whittaker Potentials Debye Potentials Problems Fundamental Properties of the Electromagnetic Field Causality; Domain of Dependence Domain of Dependence Motion of Wavefronts The Ray Equation and the Eikonal Passivity and Uniqueness Time-Domain Theorems Radiation Conditions Time-Harmonic Theorems Equivalence Principles and Image Theory Lorentz Reciprocity Scattering Problems Aperture Radiation Problems Classical Scattering Problems Aperture Scattering Problems Planar Scatterers and Babinet's Principle Problems Radiation by Simple Sources and Structures Point and Line Sources in Unbounded Space Static Point Charge Potential of a Pulsed Dipole in Free Space Time-Harmonic Dipole Line Sources in Unbounded Space Alternate Representations for Point and Line Source Potentials Time-Harmonic Line Source Time-Harmonic Point Source Radiation from Sources of Finite Extent; The Fraunhofer Far Field Approximation Far Field Superposition Far Field via Fourier Transform The Stationary Phase Principle Radiation in Planar Regions The Fresnel and Paraxial Approximations; Gaussian Beams The Fresnel Approximation The Paraxial Approximation Gaussian Beams Problems Scattering by Simple Structures Dipole Radiation over a Half-Space Reflected Wave in the Far Field Transmitted Wave in the Far Field Other Dipole Sources Radiation and Scattering from Cylinders Aperture Radiation Plane Wave Scattering Diffraction by Wedges; The Edge Condition Formulation The Edge Condition Formal Solution of the Problem The Geometrical Optics Field The Diffracted Field Uniform Far-Field Approximation Spherical Harmonics Problems Propagation and Scattering in More Complex Regions General Considerations Waveguides Parallel-Plate Waveguide: Mode Expansion Parallel-Plate Waveguide: Fourier Expansion Open Waveguides Propagation in a Periodic Medium Gel'fand's Lemma Bloch Wave Modes and Their Properties The Bloch Wave Expansion Solution for the Field of a Current Sheet in Terms of Bloch Modes Problems Integral Equations in Scattering Problems Green's Theorem and Green's Functions Scalar Problems Vector Problems Dyadic Green's Functions Relation to Equivalence Principle Integral Equations for Scattering by a Perfect Conductor Electric-Field Integral Equation (EFIE) Magnetic-Field Integral Equation (MFIE) Nonuniqueness and Other Difficulties Volume Integral Equations for Scattering by a Dielectric Body Integral Equations for Static "Scattering" by Conductors Electrostatic Scattering Magnetostatic Scattering Electrostatics of a Thin Conducting Strip Electrostatics of a Thin Conducting Circular Disk Integral Equations for Scattering by an Aperture in a Plane Static Aperture Problems Electrostatic Aperture Scattering Magnetostatic Aperture Scattering Example: Electric Polarizability of a Circular Aperture Problems Approximation Methods Recursive Perturbation Approximation Example: Strip over a Ground Plane Physical Optics Approximation Operator Formalism for Approximation Methods Example: Strip over a Ground Plane (Revisited) Variational Approximation The Galerkin-Ritz Method Example: Strip over a Ground Plane (Re-Revisited) Problems Appendix A: Generalized Functions Introduction Multiplication of Generalized Functions Fourier Transforms and Fourier Series of Generalized Functions Multidimensional Generalized Functions Problems Appendix B: Special Functions Gamma Function Bessel Functions Spherical Bessel Functions Fresnel Integrals Legendre Functions Chebyshev Polynomials Exponential Integrals Polylogarithms Problems Appendix C: Rellich's Theorem Appendix D: Vector Analysis Vector Identities Vector Differentiation in Various Coordinate Systems Rectangular (Cartesian) Coordinates Circular Cylindrical Coordinates Spherical Coordinates Poincare's Lemma Helmholtz's Theorem Generalized Leibnitz Rule Dyadics Problems Appendix E: Formulation of Some Special Electromagnetic Boundary Problems Linear Cylindrical (Wire) Antennas Transmitting Mode Receiving Mode Static Problems Electrostatic Problems The Capacitance Problem The Electric Polarizability Problem Magnetostatic Problems The Inductance Problem The Magnetic Polarizability Problem Problems Index
Series Title: Electromagnetics, wireless, radar, and microwaves
Responsibility: Edward F. Kuester, University of Colorado Boulder, David C. Chang, Polytechnic School of Engineering, New York University.


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