Intermediate Electromagnetic Theory

By: Joseph V Stewart

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Hardcover | 1 March 2001

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756 Pages

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21.59 x 15.88 x 4.45

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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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Non-Fiction Science Physics Electricity Engineering & Technology Electronics & Communications Engineering Electronics Engineering Classical Mathematics Wave Mechanics including Vibration & Acoustics Energy Technology & Engineering Electrical Engineering Booktopia Publisher Services

World Scientific Publishing Optical Physics

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

Intermediate Electromagnetic Theory

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Hardcover

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