Intermediate Electromagnetic Theory

Intermediate Electromagnetic Theory

by Joseph V Stewart

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ISBN-10: 9810244711

ISBN-13: 9789810244712

Pub. Date: 02/28/2001

Publisher: World Scientific Publishing Company, Incorporated

This invaluable text has been developed to provide students with more background for the applications of electricity and magnetism particularly in optics and topics related to research instrumentation. For example, waveguides (both conducting and dielectric) are discussed more thoroughly than in most texts because they are an important laboratory tool and important


This invaluable text has been developed to provide students with more background for the applications of electricity and magnetism particularly in optics and topics related to research instrumentation. For example, waveguides (both conducting and dielectric) are discussed more thoroughly than in most texts because they are an important laboratory tool and important components of modern communications. The text, therefore, modernizes the topics covered in a typical electricity and magnetism text. Because this approach requires an understanding of the mathematics relevant to the topics, the text includes a much more thorough discussion of the mathematics of electricity and magnetism than found in current texts. It provides a solid background for students who need knowledge of electricity and magnetism, particularly physics majors.

Product Details

World Scientific Publishing Company, Incorporated
Publication date:
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5.34(w) x 8.50(h) x 1.51(d)

Table of Contents

Chapter IThe Mathematics of Electricity and Magnetism1
1-1Scalars, Vectors and Vector Addition1
1-2Vector Multiplication4
1-4Vector Calculus: The Gradient11
1-5The Divergence of a Vector16
1-6The Divergence Theorem17
1-7The Curl of a Vector21
1-8Stokes's Theorem22
1-9Derivatives of Scalar and Vector Products25
1-10Higher Derivatives25
1-11Curvilinear Coordinates27
1-12Tensors and Matrices35
1-13Complex Numbers44
Appendix IVector Identities47
Chapter IIElectrostatics50
2-1Coulomb's Law51
2-2The Principle of Superposition; Charge Distribution54
2-3The Electric Field57
2-4Calculation of the Electric Field59
2-5Conductors and Insulators66
2-6Gauss's Law68
2-7The Electric Potential80
2-8Calculation of the Electric Potential85
2-9The Continuity Equations for E and [Phi]91
2-11The Equations of Laplace and Poisson: The Second Derivatives of the Potential Field96
2-12The Dirac [delta]-Function96
2-13Electrostatic Energy99
Appendix IIThe Dirac [delta]-Function105
Supplementary Problems108
Chapter IIIBoundary Value Problems: The Solutions To Laplace's Equation and Poisson's Equation111
3-1Boundary Conditions111
3-2The Superposition Theorem112
3-3The Uniqueness Theorem112
3-4Solution to Laplace's Equation in One or Two Dimensions: Cartesian Coordinates113
3-5Laplace's Equation in One and Two Dimensions; Cylindrical Symmetry119
3-6Laplace's Equation in One or Two Dimensions; Spherical Coordinates130
3-7The Solution to Laplace's Equation in Three Dimensions140
3-8Poisson's Equation144
3-9The Method of Images146
3-10Green's Functions; The General Solution of Poisson's Equation153
Appendix IIIBessel Functions167
III-1Regular Bessel Functions167
III-2The Generating Function for the Bessel Functions176
III-3Modified Bessel Functions177
Appendix IVLegendre Polynomials180
IV-1The Legendre Polynomials180
IV-2The Generating Function for the Legendre Polynomials187
IV-3The Associated Legendre Polynomials188
Supplementary Problems192
Chapter IVCurrent and Conduction197
4-1Current and Current Density197
4-2Conductivity, Resistance and Ohms Law199
4-3Microscopic Description of Conductivity204
4-4The Band Theory of Solids209
4-5Conductivity in Metals212
4-6Fermi-Dirac Statistics; Conductivity in Semiconductors and Insulators214
4-7Doped Semiconductors216
4-8Conductivity in a P-N Junction219
4-9Properties of the P-N Junction220
4-10Conductivity in an Electron Gas223
4-12The Josephson Effect227
Chapter VThe Magnetic Field of Steady Currents231
5-1The Biot-Savart Law232
5-2The Divergence of B; Magnetic Flux244
5-3The Curl of B246
5-4Ampere's Law248
5-5The Magnetic Scalar Potential259
5-6The Magnetic Vector Potential263
5-7The Lorentz Force Law277
5-8The Hall Effect286
Appendix VElliptic Integrals290
Chapter VIThe Electric Field in Matter295
6-1The Dipole Field296
6-2Energy, Force and Torque on a Dipole300
6-3The Electric Field Outside a Dielectric301
6-4The Electric Field Inside a Dielectric303
6-5Gauss's Law in a Dielectric; The Displacement Vector306
6-6Electric Susceptibility and the Dielectric Constant308
6-7Dielectric Materials314
6-8Derivation of Susceptibility from the Molecular Polarization317
6-9Boundary Conditions for Dielectric Surfaces319
6-10Electrostatic Energy in Dielectrics332
6-11Interaction of the Electric Field with a Plasma333
6-12The Multipole Expansion of a Charge Distribution335
6-13Expansion in Cartesian Coordinates339
6-14Expansion in Spherical Harmonics344
Supplementary Problems348
Chapter VIIMagnetic Fields in Matter351
7-1Multipole Expansion of the Magnetic Field351
7-2Magnetic Fields in Magnetic Materials354
7-3Magnetic Fields Inside Matter357
7-4Boundary Conditions on the Magnetic Field Vectors362
7-5Boundary Value Problems of the Magnetic Field364
7-6The Nature of Magnetic Materials367
7-8Other Magnetic Materials377
7-9The Temperature Dependence of Paramagnetism378
Chapter VIIITime Dependent Fields; Faraday's Law387
8-1Faraday's Law387
8-2The Electromotive Force389
8-3Lenz's Law391
8-4Motional Electromotive Force392
8-5General Electromotive Force393
8-6The Differential Faraday's Law398
8-7The Time Dependent Field Potentials405
8-10The Energy of the Magnetic Field414
Chapter IXMaxwell's Equations424
9-1The Displacement Current425
9-2The Wave Equation430
9-3The Time-Dependent Potential Function434
9-4Poynting's Theorem437
9-5Field Momentum442
9-6Solution of the Wave Equation446
9-7Description of Waves in Complex Numbers448
9-8Parameters of the Wave Equation450
9-9Electromagnetic Waves453
9-11General Description of a Plane Wave459
9-12Energy of a Wave461
9-13Spherical Waves465
Appendix VIUnits473
VI-1Base Units474
VI-2SI Prefixes476
VI-3Derived Units477
VI-4Measurement Standards478
VI-5Units in Electricity and Magnetism480
Chapter XApplications of Maxwell's Equations: the Optics of Plane Waves490
10-1The Laws of Reflection and Refraction490
10-2The Amplitudes of the Reflected and Transmitted Waves: Fresnel's Equations496
10-3Total Internal Reflection506
10-4Interaction of Plane Electromagnetic Waves with Conductors513
10-7Optical Dispersion555
Supplementary Problems565
Chapter XIApplication of Maxwell's Equations: Guided Waves567
11-1The Rectangular Metal Waveguide567
11-2The Circular Cylindrical Waveguide587
11-3The Coaxial Waveguide597
11-4Cavity Resonators600
11-5Attenuation in Waveguides604
11-6Dielectric Waveguides609
Chapter XIIApplication of Maxwell's Equations: Radiation623
12-1Solution of the Inhomogeneous Wave Equation623
12-2Multipole Expansion of a Time Dependent Charge Distribution626
12-3The Field of an Electric Dipole629
12-4Antenna Radiation--The Center Fed Antenna641
12-5The Half-Wave Antenna645
12-6Antenna Arrays648
12-7The Hertz Vector Potentials650
12-8The Radiation Field of Moving Particles654
12-9Radiation Reaction671
Appendix VIIFourier Integrals: General Solution to the Inhomogeneous Wave Equation674
Chapter XIIIRelativity681
13-1The Galilean Transformation681
13-2The Electromagnetic Test of Relativity683
13-3The Trouton-Noble Experiment685
13-4The Michelson Morley Experiment687
13-5The Postulates of Einstein691
13-6The Lorentz Transformation698
13-7The Effect of the Lorentz Transformation704
13-8The Tensor Formulation of Relativity711
13-9The Transformation of Velocity and Momentum714
13-10The Covariant Formulation of the Electromagnetic Field719
13-11The Maxwell Stress Tensor725
13-12The Field of a Uniformly Moving Charge728
13-13The Relativistic Derivation of the Radiation Fields732
13-14The Relativistic Motion of Charged Particles in an Electromagnetic Field; The Relativistic Lorentz Force Law734

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