Electromagnetic Boundary Problems

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Opis: Electromagnetic Boundary Problems - David Chang, Edward Kuester

Electromagnetic Boundary Problems introduces the formulation and solution of Maxwell's equations describing electromagnetism. Based on a one-semester graduate-level course taught by the authors, the text covers material parameters, equivalence principles, field and source (stream) potentials, and uniqueness, as well as: * Provides analytical solutions of waves in regions with planar, cylindrical, spherical, and wedge boundaries * Explores the formulation of integral equations and their analytical solutions in some simple cases * Discusses approximation techniques for problems without exact analytical solutions * Presents a general proof that no classical electromagnetic field can travel faster than the speed of light * Features end-of-chapter problems that increase comprehension of key concepts and fuel additional research Electromagnetic Boundary Problems uses generalized functions consistently to treat problems that would otherwise be more difficult, such as jump conditions, motion of wavefronts, and reflection from a moving conductor. The book offers valuable insight into how and why various formulation and solution methods do and do not work. "... a unique title by two authors whose in-depth knowledge of this material and ability to present it to others are hardly matched. While the book provides distinguishing coverage and presentation of many topics, some discussions cannot be found elsewhere. I highly recommend this outstanding piece, bringing great value as both a textbook and reference text." -Branislav M. Notaros, Colorado State University, Fort Collins, USA "... useful for students, researchers, engineers, and teachers of electromagnetics. Today, in many universities, this discipline is taught by teachers who do not have much research experience in electromagnetism. That is why this textbook, written by world-known specialists and showing how electromagnetics courses should be built and taught, is very important. The authors have made clearer several aspects of electromagnetism which are poorly highlighted in earlier-published literature." -Guennadi Kouzaev, Norwegian University of Science and Technology, TrondheimList 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


Szczegóły: Electromagnetic Boundary Problems - David Chang, Edward Kuester

Tytuł: Electromagnetic Boundary Problems
Autor: David Chang, Edward Kuester
Producent: Productivity Press Inc
ISBN: 9781498730266
Rok produkcji: 2015
Ilość stron: 363
Oprawa: Twarda
Waga: 0.82 kg


Recenzje: Electromagnetic Boundary Problems - David Chang, Edward Kuester

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Przypomnij hasło
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Electromagnetic Boundary Problems

,

Electromagnetic Boundary Problems introduces the formulation and solution of Maxwell's equations describing electromagnetism. Based on a one-semester graduate-level course taught by the authors, the text covers material parameters, equivalence principles, field and source (stream) potentials, and uniqueness, as well as: * Provides analytical solutions of waves in regions with planar, cylindrical, spherical, and wedge boundaries * Explores the formulation of integral equations and their analytical solutions in some simple cases * Discusses approximation techniques for problems without exact analytical solutions * Presents a general proof that no classical electromagnetic field can travel faster than the speed of light * Features end-of-chapter problems that increase comprehension of key concepts and fuel additional research Electromagnetic Boundary Problems uses generalized functions consistently to treat problems that would otherwise be more difficult, such as jump conditions, motion of wavefronts, and reflection from a moving conductor. The book offers valuable insight into how and why various formulation and solution methods do and do not work. "... a unique title by two authors whose in-depth knowledge of this material and ability to present it to others are hardly matched. While the book provides distinguishing coverage and presentation of many topics, some discussions cannot be found elsewhere. I highly recommend this outstanding piece, bringing great value as both a textbook and reference text." -Branislav M. Notaros, Colorado State University, Fort Collins, USA "... useful for students, researchers, engineers, and teachers of electromagnetics. Today, in many universities, this discipline is taught by teachers who do not have much research experience in electromagnetism. That is why this textbook, written by world-known specialists and showing how electromagnetics courses should be built and taught, is very important. The authors have made clearer several aspects of electromagnetism which are poorly highlighted in earlier-published literature." -Guennadi Kouzaev, Norwegian University of Science and Technology, TrondheimList 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

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Cena 578,00 PLN
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Szczegóły: Electromagnetic Boundary Problems - David Chang, Edward Kuester

Tytuł: Electromagnetic Boundary Problems
Autor: David Chang, Edward Kuester
Producent: Productivity Press Inc
ISBN: 9781498730266
Rok produkcji: 2015
Ilość stron: 363
Oprawa: Twarda
Waga: 0.82 kg


Recenzje: Electromagnetic Boundary Problems - David Chang, Edward Kuester

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