Electromagnetic Fields

Professor Jean Van Bladel is an eminent researcher and educator in fundamental electromagnetic theory and its application in electrical engineering. Over a distinguished career, he has been the recipient of many awards and honors. A Fellow of the IEEE, he was awarded the Henrich Hertz Medal of the IEEE in 1995 and the Distinguished Achievement Award of the IEEE Antennas and Propagation Society in 1997. With the International Union of Radio Science (URSI), he was secretary general from 1979 to 1993 and was named Honorary President in 1999. He is currently Professor Emeritus at Ghent University in Belgium.

The book appears to be very well written, and is excellently edited and produced.  There is no doubt that it will be received as well as its previous edition has been. (Computing Reviews, July 1, 1008)

• Preface xiii1. Linear Analysis 11.1 Linear Spaces 21.2 Linear Transformations 51.3 The Inversion Problem 81.4 Green’s Functions 111.5 Reciprocity 141.6 Green’s Dyadics 171.7 Convergence of a Series 191.8 Eigenfunctions 201.9 Integral Operators 231.10 Eigenfunction Expansions 261.11 Discretization 301.12 Matrices 331.13 Solution of Matrix Equations: Stability 361.14 Finite Differences 381.15 Perturbations 432. Variational Techniques 512.1 Stationary functionals 522.2 A Suitable Functional for the String Problem 532.3 Functionals for the General l Transformation 552.4 Euler’s Equations of Some Important Functionals 582.5 Discretization of the Trial Functions 602.6 Simple Finite Elements for Planar Problems 622.7 More Finite Elements 652.8 Direct Numerical Solution of Matrix Problems 692.9 Iterative Numerical Solution of Matrix Problems 703. Electrostatic Fields in the Presence of Dielectrics 773.1 Volume Charges in Vacuum 773.2 Green’s Function for Infinite Space 803.3 Multipole Expansion 833.4 Potential Generated by a Single Layer of Charge 863.5 Potential Generated by a Double Layer of Charge 913.6 Potential Generated by a Linear Charge 943.7 Spherical Harmonics 983.8 Dielectric Materials 1023.9 Cavity Fields 1053.10 Dielectric Sphere in an External Field 1083.11 Dielectric Spheroid in an Incident Field 1113.12 Numerical Methods 1154. Electrostatic Fields in the Presence of Conductors 1254.1 Conductivity 1254.2 Potential Outside a Charged Conductor 1274.3 Capacitance Matrix 1334.4 The Dirichlet Problem 1344.5 The Neumann Problem 1374.6 Numerical Solution of the Charge Density Problem 1394.7 Conductor in an External Field 1424.8 Conductors in the Presence of Dielectrics 1464.9 Current Injection into a Conducting Volume 1484.10 Contact Electrodes 1534.11 Chains of Conductors 1585. Special Geometries for the Electrostatic Field 1675.1 Two-Dimensional Potentials in the Plane 1675.2 Field Behavior at a Conducting Wedge 1715.3 Field Behavior at a Dielectric Wedge 1755.4 Separation of Variables in Two Dimensions 1775.5 Two-Dimensional Integral Equations 1815.6 Finite Methods in Two Dimensions 1855.7 Infinite Computational Domains 1885.8 More Two-Dimensional Techniques 1925.9 Layered Media 1965.10 Apertures 1995.11 Axisymmetric Geometries 2035.12 Conical Boundaries 2076. Magnetostatic Fields 2216.1 Magnetic Fields in Free Space: Vector Potential 2216.2 Fields Generated by Linear Currents 2246.3 Fields Generated by Surface Currents 2276.4 Fields at Large Distances from the Sources 2296.5 Scalar Potential in Vacuum 2326.6 Magnetic Materials 2346.7 Permanent Magnets 2366.8 The Limit of Infinite Permeability 2396.9 Two-Dimensional Fields in the Plane 2446.10 Axisymmetric Geometries 2496.11 Numerical Methods: Integral Equations 2516.12 Numerical Methods: Finite Elements 2536.13 Nonlinear Materials 2586.14 Strong Magnetic Fields and Force-Free Currents 2607. Radiation in Free Space 2777.1 Maxwell’s Equations 2777.2 The Wave Equation 2807.3 Potentials 2827.4 Sinusoidal Time Dependence: Polarization 2867.5 Partially Polarized Fields 2907.6 The Radiation Condition 2937.7 Time-Harmonic Potentials 2967.8 Radiation Patterns 3007.9 Green’s Dyadics 3037.10 Multipole Expansion 3077.11 Spherical Harmonics 3137.12 Equivalent Sources 3207.13 Linear Wire Antennas 3277.14 Curved Wire Antennas: Radiation 3337.15 Transient Sources 3378. Radiation in a Material Medium 3578.1 Constitutive Equations 3578.2 Plane Waves 3708.3 Ray Methods 3778.4 Beamlike Propagation 3888.5 Green’s Dyadics 3928.6 Reciprocity 3978.7 Equivalent Circuit of an Antenna 4028.8 Effective Antenna Area 4099. Plane Boundaries 4239.1 Plane Wave Incident on a Plane Boundary 4239.2 Propagation Through a Layered Medium 4429.3 The Sommerfeld Dipole Problem 4489.4 Multilayered Structures 4529.5 Periodic Structures 4609.6 Field Penetration Through Apertures 4789.7 Edge Diffraction 49010. Resonators 50910.1 Eigenvectors for an Enclosed Volume 50910.2 Excitation of a Cavity 51410.3 Determination of the Eigenvectors 51710.4 Resonances 52510.5 Open Resonators: Dielectric Resonances 52910.6 Aperture Coupling 54010.7 Green’s Dyadics 54411. Scattering: Generalities 56311.1 The Scattering Matrix 56311.2 Cross Sections 56811.3 Scattering by a Sphere 57411.4 Resonant Scattering 58211.5 The Singularity Expansion Method 58611.6 Impedance Boundary Conditions 59811.7 Thin Layers 60111.8 Characteristic Modes 60412. Scattering: Numerical Methods 61712.1 The Electric Field Integral Equation 61712.2 The Magnetic Field Integral Equation 62412.3 The T-Matrix 62912.4 Numerical Procedures 63312.5 Integral Equations for Penetrable Bodies 63912.6 Absorbing Boundary Conditions 64612.7 Finite Elements 65112.8 Finite Differences in the Time Domain 65413. High- and Low-Frequency Fields 67113.1 Physical Optics 67113.2 Geometrical Optics 67613.3 Geometric Theory of Diffraction 68113.4 Edge Currents and Equivalent Currents 68913.5 Hybrid Methods 69213.6 Low-Frequency Fields: The Rayleigh Region 69513.7 Non-Conducting Scatterers at Low Frequencies 69613.8 Perfectly Conducting Scatterers at Low Frequencies 69913.9 Good Conductors 70713.10 Stevenson’s Method Applied to Good Conductors 71113.11 Circuit Parameters 71513.12 Transient Eddy Currents 71914. Two-Dimensional Problems 73314.1 E and H Waves 73314.2 Scattering by Perfectly Conducting Cylinders 73814.3 Scattering by Penetrable Circular Cylinders 74314.4 Scattering by Elliptic Cylinders 74614.5 Scattering by Wedges 74914.6 Integral Equations for Perfectly Conducting Cylinders 75114.7 Scattering by Penetrable Cylinders 75914.8 Low-Frequency Scattering by Cylinders 76414.9 Slots in a Planar Screen 77014.10 More Slot Couplings 77814.11 Termination of a Truncated Domain 78614.12 Line Methods 79216.2 Scattering by Bodies of Revolution: Integral Equations 90816.3 Scattering by Bodies of Revolution: Finite Methods 91216.4 Apertures in Axisymmetric Surfaces 91516.5 The Conical Waveguide 91816.6 Singularities at the Tip of a Cone 92616.7 Radiation and Scattering from Cones 93015. Cylindrical Waveguides 81315.1 Field Expansions in a Closed Waveguide 81415.2 Determination of the Eigenvectors 81815.3 Propagation in a Closed Waveguide 82215.4 Waveguide Losses 83215.5 Waveguide Networks 83715.6 Aperture Excitation and Coupling 84415.7 Guided Waves in General Media 85915.8 Orthogonality and Normalization 86515.9 Dielectric Waveguides 87315.10 Other Examples of Waveguides 88216. Axisymmetric and Conical Boundaries 90516.1 Field Expansions for Axisymmetric Geometries 90517. Electrodynamics of Moving Bodies 94317.1 Fields Generated by a Moving Charge 94317.2 The Lorentz Transformation 94617.3 Transformation of Fields and Currents 95017.4 Radiation from Sources: the Doppler Effect 95517.5 Constitutive Equations and Boundary Conditions 95817.6 Material Bodies Moving Uniformly in Static Fields 96017.7 Magnetic Levitation 96217.8 Scatterers in Uniform Motion 96617.9 Material Bodies in Nonuniform Motion 97217.10 Rotating Bodies of Revolution 97417.11 Motional Eddy Currents 97917.12 Accelerated Frames of Reference 98417.13 Rotating Comoving Frames 988Appendix 1. Vector Analysis in Three Dimensions 1001Appendix 9. Some Eigenfunctions and Eigenvectors 1105Appendix 2. Vector Operators in Several Coordinate Systems 1011Appendix 10. Miscellaneous Data 1111Appendix 3. Vector Analysis on a Surface 1025Appendix 4. Dyadic Analysis 1035Appendix 5. Special Functions 1043Appendix 6. Complex Integration 1063Appendix 7. Transforms 1075Appendix 8. Distributions 1089Bibliography 1117General Texts on Electromagnetic Theory 1117Texts that Discuss Particular Areas of Electromagnetic Theory 1118General Mathematical Background 1122Mathematical Techniques Specifically Applied to Electromagnetic Theory 1123Acronyms and Symbols 1127Author Index 1133Subject Index 1149