Intermediate Electromagnetic Theory

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Intermediate Electromagnetic Theory

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Hardcover
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Overview

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.

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Product Details

ISBN-13:	9789810244705
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	03/01/2001
Pages:	756
Product dimensions:	6.60(w) x 8.87(h) x 1.71(d)

	Preface	v
Chapter I	The Mathematics of Electricity and Magnetism	1
1-1	Scalars, Vectors and Vector Addition	1
1-2	Vector Multiplication	4
1-3	Fields	10
1-4	Vector Calculus: The Gradient	11
1-5	The Divergence of a Vector	16
1-6	The Divergence Theorem	17
1-7	The Curl of a Vector	21
1-8	Stokes's Theorem	22
1-9	Derivatives of Scalar and Vector Products	25
1-10	Higher Derivatives	25
1-11	Curvilinear Coordinates	27
1-12	Tensors and Matrices	35
1-13	Complex Numbers	44
Appendix I	Vector Identities	47
	References	49
Chapter II	Electrostatics	50
2-1	Coulomb's Law	51
2-2	The Principle of Superposition; Charge Distribution	54
2-3	The Electric Field	57
2-4	Calculation of the Electric Field	59
2-5	Conductors and Insulators	66
2-6	Gauss's Law	68
2-7	The Electric Potential	80
2-8	Calculation of the Electric Potential	85
2-9	The Continuity Equations for E and [Phi]	91
2-10	Capacitors	93
2-11	The Equations of Laplace and Poisson: The Second Derivatives of the Potential Field	96
2-12	The Dirac [delta]-Function	96
2-13	Electrostatic Energy	99
Appendix II	The Dirac [delta]-Function	105
	Supplementary Problems	108
	References	110
Chapter III	Boundary Value Problems: The Solutions To Laplace's Equation and Poisson's Equation	111
3-1	Boundary Conditions	111
3-2	The Superposition Theorem	112
3-3	The Uniqueness Theorem	112
3-4	Solution to Laplace's Equation in One or Two Dimensions: Cartesian Coordinates	113
3-5	Laplace's Equation in One and Two Dimensions; Cylindrical Symmetry	119
3-6	Laplace's Equation in One or Two Dimensions; Spherical Coordinates	130
3-7	The Solution to Laplace's Equation in Three Dimensions	140
3-8	Poisson's Equation	144
3-9	The Method of Images	146
3-10	Green's Functions; The General Solution of Poisson's Equation	153
Appendix III	Bessel Functions	167
III-1	Regular Bessel Functions	167
III-2	The Generating Function for the Bessel Functions	176
III-3	Modified Bessel Functions	177
Appendix IV	Legendre Polynomials	180
IV-1	The Legendre Polynomials	180
IV-2	The Generating Function for the Legendre Polynomials	187
IV-3	The Associated Legendre Polynomials	188
	Supplementary Problems	192
	References	195
Chapter IV	Current and Conduction	197
4-1	Current and Current Density	197
4-2	Conductivity, Resistance and Ohms Law	199
4-3	Microscopic Description of Conductivity	204
4-4	The Band Theory of Solids	209
4-5	Conductivity in Metals	212
4-6	Fermi-Dirac Statistics; Conductivity in Semiconductors and Insulators	214
4-7	Doped Semiconductors	216
4-8	Conductivity in a P-N Junction	219
4-9	Properties of the P-N Junction	220
4-10	Conductivity in an Electron Gas	223
4-11	Superconductivity	226
4-12	The Josephson Effect	227
	References	230
Chapter V	The Magnetic Field of Steady Currents	231
5-1	The Biot-Savart Law	232
5-2	The Divergence of B; Magnetic Flux	244
5-3	The Curl of B	246
5-4	Ampere's Law	248
5-5	The Magnetic Scalar Potential	259
5-6	The Magnetic Vector Potential	263
5-7	The Lorentz Force Law	277
5-8	The Hall Effect	286
Appendix V	Elliptic Integrals	290
	References	294
Chapter VI	The Electric Field in Matter	295
6-1	The Dipole Field	296
6-2	Energy, Force and Torque on a Dipole	300
6-3	The Electric Field Outside a Dielectric	301
6-4	The Electric Field Inside a Dielectric	303
6-5	Gauss's Law in a Dielectric; The Displacement Vector	306
6-6	Electric Susceptibility and the Dielectric Constant	308
6-7	Dielectric Materials	314
6-8	Derivation of Susceptibility from the Molecular Polarization	317
6-9	Boundary Conditions for Dielectric Surfaces	319
6-10	Electrostatic Energy in Dielectrics	332
6-11	Interaction of the Electric Field with a Plasma	333
6-12	The Multipole Expansion of a Charge Distribution	335
6-13	Expansion in Cartesian Coordinates	339
6-14	Expansion in Spherical Harmonics	344
	Supplementary Problems	348
	References	350
Chapter VII	Magnetic Fields in Matter	351
7-1	Multipole Expansion of the Magnetic Field	351
7-2	Magnetic Fields in Magnetic Materials	354
7-3	Magnetic Fields Inside Matter	357
7-4	Boundary Conditions on the Magnetic Field Vectors	362
7-5	Boundary Value Problems of the Magnetic Field	364
7-6	The Nature of Magnetic Materials	367
7-7	Ferromagnetism	373
7-8	Other Magnetic Materials	377
7-9	The Temperature Dependence of Paramagnetism	378
7-10	Superconductivity	381
	References	386
Chapter VIII	Time Dependent Fields; Faraday's Law	387
8-1	Faraday's Law	387
8-2	The Electromotive Force	389
8-3	Lenz's Law	391
8-4	Motional Electromotive Force	392
8-5	General Electromotive Force	393
8-6	The Differential Faraday's Law	398
8-7	The Time Dependent Field Potentials	405
8-8	Inductance	405
8-9	Self-Inductance	410
8-10	The Energy of the Magnetic Field	414
	References	423
Chapter IX	Maxwell's Equations	424
9-1	The Displacement Current	425
9-2	The Wave Equation	430
9-3	The Time-Dependent Potential Function	434
9-4	Poynting's Theorem	437
9-5	Field Momentum	442
9-6	Solution of the Wave Equation	446
9-7	Description of Waves in Complex Numbers	448
9-8	Parameters of the Wave Equation	450
9-9	Electromagnetic Waves	453
9-10	Polarization	456
9-11	General Description of a Plane Wave	459
9-12	Energy of a Wave	461
9-13	Spherical Waves	465
Appendix VI	Units	473
VI-1	Base Units	474
VI-2	SI Prefixes	476
VI-3	Derived Units	477
VI-4	Measurement Standards	478
VI-5	Units in Electricity and Magnetism	480
	References	489
Chapter X	Applications of Maxwell's Equations: the Optics of Plane Waves	490
10-1	The Laws of Reflection and Refraction	490
10-2	The Amplitudes of the Reflected and Transmitted Waves: Fresnel's Equations	496
10-3	Total Internal Reflection	506
10-4	Interaction of Plane Electromagnetic Waves with Conductors	513
10-5	Interference	527
10-6	Diffraction	540
10-7	Optical Dispersion	555
	Supplementary Problems	565
	References	566
Chapter XI	Application of Maxwell's Equations: Guided Waves	567
11-1	The Rectangular Metal Waveguide	567
11-2	The Circular Cylindrical Waveguide	587
11-3	The Coaxial Waveguide	597
11-4	Cavity Resonators	600
11-5	Attenuation in Waveguides	604
11-6	Dielectric Waveguides	609
	References	622
Chapter XII	Application of Maxwell's Equations: Radiation	623
12-1	Solution of the Inhomogeneous Wave Equation	623
12-2	Multipole Expansion of a Time Dependent Charge Distribution	626
12-3	The Field of an Electric Dipole	629
12-4	Antenna Radiation--The Center Fed Antenna	641
12-5	The Half-Wave Antenna	645
12-6	Antenna Arrays	648
12-7	The Hertz Vector Potentials	650
12-8	The Radiation Field of Moving Particles	654
12-9	Radiation Reaction	671
Appendix VII	Fourier Integrals: General Solution to the Inhomogeneous Wave Equation	674
	References	680
Chapter XIII	Relativity	681
13-1	The Galilean Transformation	681
13-2	The Electromagnetic Test of Relativity	683
13-3	The Trouton-Noble Experiment	685
13-4	The Michelson Morley Experiment	687
13-5	The Postulates of Einstein	691
13-6	The Lorentz Transformation	698
13-7	The Effect of the Lorentz Transformation	704
13-8	The Tensor Formulation of Relativity	711
13-9	The Transformation of Velocity and Momentum	714
13-10	The Covariant Formulation of the Electromagnetic Field	719
13-11	The Maxwell Stress Tensor	725
13-12	The Field of a Uniformly Moving Charge	728
13-13	The Relativistic Derivation of the Radiation Fields	732
13-14	The Relativistic Motion of Charged Particles in an Electromagnetic Field; The Relativistic Lorentz Force Law	734
	References	738
	Index	739

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