Classical Electromagnetic Radiation

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. Contents Preface Chapter 1: Fundamentals of Statics Electromagnetism 1.1 Units 1.2 The Laws of Coulomb and Gauss 1.3 Dielectric Media 1.4 The Laws of Biot-Savart and Ampère 1.5 The Lorentz Force 1.6 Magnetic Materials 1.7 Summary of Equations for Static Fields 1.8 Boundary Conditions on the Field Vectors 1.9 Point Charges and the Delta Function References Problems Chapter 2: Multipole Fields 2.1 The Electric Dipole 2.2 Multipole Expansion of the Potential 2.3 The Dipole Potential 2.4 The Quadrupole Potential and the Quadrupole Moment 2.5 Further Remarks Concerning Electric Multipoles 2.6 Magnetic Multipoles 2.7 Magnetic Scalar Potential and Fictitious Poles 2.8 Magnetic Circuits and the Magnetic Ohm’s Law References Problems Chapter 3: The Equations of Laplace and Poisson 3.1 General Properties of Harmonic Functions 3.2 Laplace’s Equation in Rectangular Coordinates 3.3 Laplace’s Equation in Spherical Coordinates Generating Function 3.4 Spherical Harmonics 3.5 Laplace’s Equation in Cylindrical Coordinates Cylindrical Harmonics Bessel Functions 3.6 Numerical Evaluation of Laplace Solutions Relaxation Algorithm Evaluation of Special Functions References Problems Chapter 4: Dynamic Electromagnetism 4.1 Conservation of Charge and the Equation of Continuity 4.2 Electromagnetic Induction 4.3 Maxwell’s Modification of Ampère’s Law 4.4 Maxwell’s Equations 4.5 Potential Functions of the EM Field 4.6 Energy in the EM Field 4.7 Electrostatic Energy and Coefficients of Potential 4.8 The Maxwell Stress Tensor 4.9 The Lagrange Function for a Charge Particle in an EM Field 4.10 EM and Relativity References Problems Chapter 5: EM Waves 5.1 Plane EM Waves in Nonconducting Media 5.2 Polarization 5.3 Poynting’s Vector for Complex Fields 5.4 Radiation Pressure 5.5 Plane Waves in Conducting Media 5.6 Current Distribution in Conductors - The Skin Effect References Problems Chapter 6: Reflection and Refraction 6.1 Reflection and Transmission for Normal Incidence on a Dielectric Medium 6.2 Oblique Incidence - The Fresnel Equations Brewster’s Angle Reflection Coefficients 6.3 Total Internal Reflection 6.4 Reflection from a Metallic Surface 6.5 Refraction into a Conducting Medium References Problems Chapter 7: Waveguides 7.1 Two-Conductor Transmission Lines Impedances 7.2 Propagation of Waves Between Conducting Planes 7.3 Waves in Hollow Conductors 7.4 TE and TM Waves 7.5 Rectangular Waveguides 7.6 Optical Fibers References Problems Chapter 8: Retarded Potentials and Fields and Radiation by Charged Particles 8.1 Retarded Potentials 8.2 Retarded Fields 8.3 The Liénard-Wiechert Potentials 8.4 The Liénard-Wiechert Fields 8.5 Fields Produced by a Charged Particle in Uniform Motion 8.6 Radiation from an Accelerated Charged Particle at Low Velocities 8.7 Radiation from a Charged Particle with Collinear Velocity and Acceleration 8.8 Radiation from a Charged Particle Confined to a Circular Orbit References Problems Chapter 9: Antennas 9.1 Radiation by Multipole Moments 9.2 Electric Dipole Radiation 9.3 Complete Fields of a Time-Dependent Electric Dipole 9.4 Linear Antennas 9.5 Antenna Directivity and Effective Area 9.6 Electric Quadrupole Radiation 9.7 Antenna Arrays 9.8 Magnetic Dipole Radiation References Problems Chapter 10: Classical Electron Theory 10.1 Scattering of an EM Wave by a Charged Particle 10.2 Dispersion in Gases 10.3 Dispersion in Dense Matter 10.4 Conductivity of Metals 10.5 Wave Propagation in a Plasma 10.6 The Zeeman Effect 10.7 Radiation Damping References Problems Chapter 11: Interference and Coherence 11.1 Wiener’s Experiment and the “Light Vector” 11.2 Coherent and Incoherent Intensities 11.3 “Almost Monochromatic” Radiation 11.4 Interference by Division of Wavefronts 11.5 Interference by Division of Amplitudes 11.6 Coherence Time and Lengths 11.7 Visibility of Interference Fringes 11.8 Multiple Apertures - Diffraction Grating 11.9 Multiple Reflections - Fabry-Perot Interferometer References Problems Chapter 12: Scalar Diffraction Theory and the Fraunhofer Limit 12.1 The Helmholtz-Kirchhoff Integral 12.2 Kirchhoff Diffraction Theory 12.3 Babinet’s Principle 12.4 Fresnel Zones Circular Obstacle Off-Axis Diffraction 12.5 Fraunhofer Diffraction 12.6 Single Slit 12.7 Double and Multiple Slits 12.8 Rectangular Aperture 12.9 Circular Aperture References Problems Chapter 13: Fresnel Diffraction and the Transition to Geometrical Optics 13.1 The Fresnel Approximation 13.2 The Transition Between Wave and Geometrical Optics 13.3 Gaussian Beams and Laser Resonators Confined Rays Diffraction Normal Modes References Problems Chapter 14: Relativistic Electrodynamics 14.1 Galilean Transformation 14.2 Lorentz Transformation 14.3 Velocity, Momentum, and Energy in Relativity 14.4 Four-Vectors in Electrodynamics 14.5 Electromagnetic Field Tensor 14.6 Transformation Properties of the Field Tensor 14.7 Electric Field of a Point Charge in Uniform Motion 14.8 Magnetic Field due to a long Wire Carrying a Uniform Current 14.9 Radiation by an Accelerated Charge 14.10 Motion of a Charged Particle in an EM Field - Lagrangian Formulation 14.11 Lagrangian Formulation of the Field Equations 14.12 Energy-Momentum Tensor of the EM Field References Problems Appendix A. Vector and Tensor Analysis B. Fourier Series and Integrals C. Fundamental Constants D. Conversion of Electric and Magnetic Units E. Equivalence of EM Equations in the SI and Gaussian Systems Bibliography Ch. 1. Fundamentals Of Static Electromagnetism -- Ch. 2. Multipole Fields -- Ch. 3. The Equations Of Laplace And Poisson -- Ch. 4. Dynamic Electromagnetism -- Ch. 5. Electromagnetic Waves -- Ch. 6. Reflection And Refraction -- Ch. 7. Waveguides -- Ch. 8. Retarded Potentials And Fields And Radiation By Charged Particles -- Ch. 9. Antennas -- Ch. 10. Classical Electron Theory -- Ch. 11. Interference And Coherence -- Ch. 12. Scalar Diffraction Theory And The Fraunhofer Limit -- Ch. 13. Fresnel Diffraction And The Transition To Geometrical Optics -- Ch. 14. Relativistic Electrodynamics -- Appendix A: Vector And Tensor Analysis -- Appendix B: Fourier Series And Integrals -- Appendix C: Fundamental Constants. Mark A. Heald, Jerry B. Marion. Includes Bibliographical References (p. 551-555) And Index.