Electrodynamics - Melia, Fulvio (Chicago, Ill. : University of Chicago Press, 2001)
Machine generated contents note: PREFACE -- 1 INTRODUCTION -- 1.1 Th e Physical Basis of Maxwell's Equations -- 1.2 Maxwell's Equations in M atter -- 1.3 The Mathematical Structure of Electrodynamics -- 1.3.1 Ele ctrostatic Phenomena -- 1.3.2 Magnetostatic Phenomena -- 1.3.3 Wave Phe nomena -- 1.3.4 The General Case -- 1.3.5 The Mathematical Apparatus -- 2 TIME-INDEPENDENT FIELDS -- 2.1 Electrostatics -- 2.1.1 Method 1: Gues ses and Symmetries -- 2.1.2 Method 2: The Green Function -- 2.1.3 Expan sions with Orthonormal Functions -- 2.2 Magnetostatics -- 2.2.1 Method 1: The Magnetic Scalar Potential -- 2.2.2 Method 2: The Magnetic Vector Potential -- 2.2.3 Method 3: Hard Ferromagnets --3 GENERAL PROPERTIES OF MAXWELL'S EQUATIONS -- 3.1 Time-Varying Fields -- 3.2 The Time-Depen dent Green Function -- 3.3 Conservation Laws -- 3.3.1 Field Energy Dens ity and Poynting's Theorem -- 3.3.2 Conservation of Linear Momentum -- 3.3.3 The Maxwell Stress Tensor -- 3.3.4 Conservation of Angular Moment um --4 ELECTROMAGNETIC WAVES AND RADIATION -- 4.1 Electromagnetic Waves -- 4.2 Polarization and Stokes Parameters -- 4.3 Reflection and Refrac tion -- 4.4 Time Harmonic Fields in Matter -- 4.5 Wave Guides -- 4.6 Ra diation -- 4.6.1 Point Currents and Li6nard-Wiechert Potentials -- 4.6. 2 The Radiation Fields -- 4.6.3 Simple Radiating Systems --5 A NEED FOR THE SPECIAL THEORY OF RELATIVITY -- 5.1 Basic Principles and Transform ations -- 5.2 Mathematical Structure of Four-Dimensional Spacetime -- 5 .3 Lorentz Transformation Properties of Physical Quantities -- 5.4 Lore ntz Transformation of Macroscopic Electrodynamics -- 5.5 Stress-Energy Momentum Tensor and Conservation Laws --6 THE LAGRANGIAN FORMULATION OF ELECTRODYNAMICS -- 6.1 Action Principles in Classical Field Theories - - 6.2 Relativistic Lagrangians of Point-Charge Motions -- 6.3 The Field Lagrangian -- 6.4 Invariances and Conservation Laws (Noether's Theorem ) -- 7 RELATIVISTIC TREATMENT OF RADIATION -- 7.1 The Green Function in Four-Dimensional Spacetime -- 7.2 Li6nard-Wiechert Potentials and Fiel ds for a Point Charge -- 7.3 Angular Distribution of the Emitted Radiat ion -- 7.4 Bremsstrahlung Radiation -- 7.5 Radiative Motions of a Point Charge -- 7.6 Radiation Damping and the Relativistic Lorentz-Dirac -- Equation --8 SPECIAL TOPICS -- 8.1 Time-Independent Multipole Fields -- 8.2 Multipole Expansion of Time-Dependent Fields -- 8.3 Collisions bet ween Charged Particles -- 8.4 Magnetohydrodynamics -- 8.5 Alfv6n Waves and Particle Acceleration -- 8.6 Synchrotron Emission -- 8.7 Echoes of the Big Bang -- 8.8 Cosmic Superluminal Sources -- 8.9 Polarized Radiat ion from the Black Hole at the Galactic -- Center.
Includes bibliographical references (p. 239-243) and index.
Keywords: Electrodynamics