Classical Electromagnetic Radiation

by Heald, Mark A.; Marion, Jerry B.

• ISBN13: 9780030972775
• ISBN10: 0030972779
• Edition: 3rd
• Format: Hardcover
• Copyright: 1994-11-01
• Publisher: Cengage Learning

Summary

The revision of this highly acclaimed text is designed for use in advanced physics courses--intermediate level juniors or first year graduates. Basic knowledge of vector calculus and Fourier analysis is assumed. In this edition, a very accessible macroscopic view of classical electromagnetics is presented with emphasis on integrating electromagnetic theory with physical optics. The presentation follows the historical development of physics, culminating in the final chapter, which uses four-vector relativity to fully integrate electricity with magnetism.

Table of Contents

Preface	xi
Fundamentals of Static Electromagnetism	1	(42)
Units	2	(1)
The Laws of Coulomb and Gauss	3	(6)
Dielectric Media	9	(6)
The Laws of Biot-Savart and Ampere	15	(6)
The Lorentz Force	21	(1)
Magnetic Materials	22	(6)
Summary of Equations for Static Fields	28	(2)
Boundary Conditions on the Field Vectors	30	(4)
Point Charges and the Delta-Function	34	(9)
Problems	36	(7)
Multipole Fields	43	(33)
The Electric Dipole	43	(4)
Multipole Expansion of the Potential	47	(2)
The Dipole Potential	49	(2)
The Quadrupole Potential and the Quadrupole Moment	51	(5)
Further Remarks Concerning Electric Multipoles	56	(2)
Magnetic Multipoles	58	(5)
Magnetic Scalar Potential and Fictitious Poles	63	(4)
Magnetic Circuits and the Magnetic Ohm's Law	67	(9)
Problems	70	(6)
The Equations of Laplace and Poisson	76	(50)
General Properties of Harmonic Functions	77	(2)
Laplace's Equation in Rectangular Coordinates	79	(6)
Laplace's Equation in Spherical Coordinates	85	(13)
Spherical Harmonics	98	(2)
Laplace's Equation in Cylindrical Coordinates	100	(12)
Numerical Evaluation of Laplace Solutions	112	(4)
Poisson's Equation---The Space-Charge-Limited Diode	116	(10)
Problems	119	(7)
Dynamic Electromagnetism	126	(41)
Conservation of Charge and the Equation of Continuity	127	(3)
Electromagnetic Induction	130	(2)
Maxwell's Modification of Ampere's Law	132	(3)
Maxwell's Equations	135	(4)
Potential Functions of the Electromagnetic Field	139	(4)
Energy in the Electromagnetic Field	143	(4)
Electrostatic Energy and Coefficients of Potential	147	(5)
The Maxwell Stress Tensor	152	(4)
The Lagrange Function for a Charged Particle in an Electromagnetic Field	156	(3)
Electromagnetism and Relativity	159	(8)
Problems	160	(7)
Electromagnetic Waves	167	(32)
Plane Electromagnetic Waves in Nonconducting Media	167	(7)
Polarization	174	(3)
Poynting's Vector for Complex Fields	177	(4)
Radiation Pressure	181	(2)
Plane Waves in Conducting Media	183	(5)
Current Distribution in Conductors---The Skin Effect	188	(11)
Problems	195	(4)
Reflection and Refraction	199	(25)
Reflection and Transmission for Normal Incidence on a Dielectric Medium	199	(4)
Oblique Incidence---The Fresnel Equations	203	(8)
Total Internal Reflection	211	(3)
Reflection from a Metallic Surface	214	(4)
Refraction into a Conducting Medium	218	(6)
Problems	221	(3)
Waveguides	224	(32)
Two-Conductor Transmission Lines	225	(6)
Propagation of Waves Between Conducting Planes	231	(4)
Waves in Hollow Conductors	235	(3)
TE and TM Waves	238	(2)
Rectangular Waveguides	240	(5)
Optical Fibers	245	(11)
Problems	252	(4)
Retarded Potentials and Fields and Radiation by Charged Particles	256	(33)
Retarded Potentials	256	(5)
Retarded Fields	261	(2)
The Lienard-Wiechert Potentials	263	(5)
The Lienard-Wiechert Fields	268	(3)
Fields Produced by a Charged Particle in Uniform Motion	271	(3)
Radiation from an Accelerated Charged Particle at Low Velocities	274	(2)
Radiation from a Charged Particle with Collinear Velocity and Acceleration	276	(3)
Radiation from a Charged Particle Confined to a Circular Orbit	279	(10)
Problems	285	(4)
Antennas	289	(46)
Radiation by Multipole Moments	289	(3)
Electric Dipole Radiation	292	(4)
Complete Fields of a Time-Dependent Electric Dipole	296	(7)
Linear Antennas	303	(8)
Antenna Directivity and Effective Area	311	(4)
Electric Quadrupole Radiation	315	(7)
Antenna Arrays	322	(5)
Magnetic Dipole Radiation	327	(8)
Problems	331	(4)
Classical Electron Theory	335	(43)
Scattering of an Electromagnetic Wave by a Charged Particle	336	(4)
Dispersion in Gases	340	(10)
Dispersion in Dense Matter	350	(4)
Conductivity of Metals	354	(2)
Wave Propagation in a Plasma	356	(6)
The Zeeman Effect	362	(5)
Radiation Damping	367	(11)
Problems	370	(8)
Interference and Coherence	378	(45)
Wiener's Experiment and the ``Light Vector''	379	(2)
Coherent and Incoherent Intensities	381	(7)
``Almost Monochromatic'' Radiation	388	(4)
Interference by Division of Wave Fronts	392	(4)
Interference by Division of Amplitudes	396	(2)
Coherence Time and Lengths	398	(4)
Visibility of Interference Fringes	402	(5)
Multiple Apertures---Diffraction Grating	407	(4)
Multiple Reflections---Fabry-Perot Interferometer	411	(12)
Problems	420	(3)
Scalar Diffraction Theory and the Fraunhofer Limit	423	(39)
The Helmholtz-Kirchhoff Integral	425	(2)
The Kirchhoff Diffraction Theory	427	(4)
Babinet's Principle	431	(2)
Fresnel Zones	433	(6)
Fraunhofer Diffraction	439	(5)
Single Slit	444	(1)
Double and Multiple Slits	445	(3)
Rectangular Aperture	448	(3)
Circular Aperture	451	(11)
Problems	457	(5)
Fresnel Diffraction and the Transition to Geometrical Optics	462	(24)
The Fresnel Approximation	462	(8)
The Transition Between Wave and Geometrical Optics	470	(5)
Gaussian Beams and Laser Resonators	475	(11)
Problems	485	(1)
Relativistic Electrodynamics	486	(45)
Galilean Transformation	487	(3)
Lorentz Transformation	490	(4)
Velocity, Momentum, and Energy in Relativity	494	(5)
Four-Vectors in Electrodynamics	499	(4)
Electromagnetic Field Tensors	503	(5)
Transformation Properties of the Field Tensor	508	(2)
Electric Field of a Point Charge in Uniform Motion	510	(2)
Magnetic Field due to a Long Wire Carrying a Uniform Current	512	(1)
Radiation by an Accelerated Charge	513	(3)
Motion of a Charged Particle in an Electromagnetic Field---Lagrangian Formulation	516	(4)
Lagrangian Formulation of the Field Equations	520	(2)
Energy-Momentum Tensor of the Electromagnetic Field	522	(9)
Problems	528	(3)
APPENDIX A Vector and Tensor Analysis	531	(13)
A.1 Definition of a Vector	531	(2)
A.2 Vector Algebra	533	(1)
A.3 Vector Differential Operators	534	(2)
A.4 Differential Operations in Curvilinear Coordinates	536	(3)
A.5 Integral Theorems	539	(1)
A.6 Definition of a Tensor	540	(2)
A.7 Diagonalization of a Tensor	542	(1)
A.8 Tensor Operations	543	(1)
APPENDIX B Fourier Series and Integrals	544	(3)
B.1 Fourier Series	544	(1)
B.2 Fourier Integrals	545	(2)
APPENDIX C Fundamental Constants	547	(1)
APPENDIX D Conversion of Electric and Magnetic Units	548	(1)
APPENDIX E Equivalence of Electromagnetic Equations in the SI and Gaussian Systems	549	(2)
Bibliography	551	(6)
Index	557