High-field electrodynamics

FOUNDATIONS Overview The Relativistic Intensity Regime The Schwinger Critical Field Maxwell's Equations Fields & Inductions, the Minkowski Formalism Potentials, Gauge Condition, & Wave Equation The Coulomb Potential & Plane Waves The Lorentz Transformation The Special Lorentz Transform Four-Vectors Addition of Velocities Four-Acceleration & Hyperbolic Motion Variation of the Mass with Velocity The Energy-Momentum 4-Vector Transformation of Forces Transformation of Energy Transformation of Angular Momentum Transformation of Length, Surface, Volume & Density Relativistic Plasma Frequency The General Lorentz Transform Thomas Precession Schwinger's Approach References Covariant Electrodynamics Four-Vectors & Tensors The Electromagnetic Field Tensor Covariant Form of the Maxwell-Lorentz Equations A Few Invariants, 4-Vectors, & Tensors Commonly Used Transformation of the Fields Electron & QED Units Covariant Electromagnetic Lagrangian & Hamiltonian Field 4-Momentum & Maxwell Stress Tensor Metric & Christoffel Symbols Solid in Rotation, Sagnac Effect Dual Tensors & Spinors, Dirac Equation Notes References Gauge Condition & Transform Lorentz Gauge Coulomb Gauge & Instantaneous Scalar Potential Other Gauge Conditions Charge Conservation Noether's Theorem Yang-Mills and Non-Abelian Gauge Fields Weyl's Theory Kaluza-Klein 5-Dimensional Space-Time Charged Black Holes, Quantum Gravity, & Inflation Superstrings and Dimensionality The Bohm-Aharanov Effect ELECTROMAGNETIC WAVES Green & Delta Functions, Eigenmode Theory of Waveguides Introduction The Dirac Delta Function Fourier, Laplace, & Hankel Transforms Green Functions in Vacuum Lienard-Wiechert Potentials Green Functions with Boundary Conditions: Cylindrical Waveguide Point Charge in Rectilinear Motion in Vacuum Multipoles, Spherical Harmonics & the H Atom Group Velocity Dispersion, Higher-Order Effects, and Solitons Plane Waves & Photons Quantization of the Free Electromagnetic Field Creation & Annihilation Operators Energy and Number Spectra Momentum of the Quantized Field Angular Momentum of the Quantized Field Classical Spin of the Electromagnetic Field Photon Spin Vacuum Fluctuations The Einstein-Podolsky-Rosen Paradox Squeezed States Casimir Effect Reflection of Plane Waves in Rindler Space Relativistic Transform of the Refractive Index: Cerenkov Radiation Classical Theory of Cerenkov Radiation Fields and Inductions, Polarization and Nonlinear Susceptibilities Transform of Linear Refractive Index: Minkowski Formulation Anomalous Refractive Index & Cerenkov Effect Linear Isotropic Medium: Induced-Source Formalism Covariant treatment of Nonlinear Effects Three-Dimensional Waves in Vacuum, Ponderomotive Scattering, Vacuum Laser Acceleration Exact Solutions to the 3D Wave Equation in Vacuum The Paraxial Propagator Bessel Functions & Hankel's Integral Theorem Plane Wave Dynamics, Lawson-Woodward Theorem Ponderomotive Scattering Electron Dynamics in a Coherent Dipole Field Chirped-pulse Inverse Free-Electron Laser Free-Wave Acceleration by Stimulated Absorption of Radiation Plasma-Based Laser Acceleration Processes RELATIVISTIC ELECTRONS AND RADIATION Coherent Synchrotron Radiation, Relativistic Fluid Theory Coherent Synchrotron Radiation in Free-Space Coherent Synchrotron Radiation in a Waveguide Instantaneous Power Flow in the Waveguide Time-Dependent Chirped Wavepacket Propagation in Negative GVD Structure Relativistic Eulerian Fluid Perturbation Theory Compton Scattering, Coherence, and Radiation Reaction Classical Theory of Compton Scattering Electron Beam Phase Space Three-Dimensional Theory of Compton Scattering Stochastic Electron Gas Theory of Coherence Harmonics and Nonlinear Radiation Pressure Radiative Corrections: Overview Symmetrized Electrodynamics: Introduction Symmetrized Electrodynamics: Complex Notation Symmetrized Direct-Lorentz Equation Conceptual Difficulties: Electromagnetic Mass Renormalization, Runaways, Acausal Effects Schott Term Maxwell Stress Tensor Hamiltonian Formalism Symmetrized Electrodynamics in the Complex Charge Plane and the Running Fine Structure Constant Bibliography References Index Each chapter also contains Notes and References sections