Classical Electrodynamics, International Adaptation
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John David Jackson (Útgáfa: 3)
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- Wiley Global Education UK
- 9781119770770
- 9781119770763
- ePub
- 3
- John David Jackson
- English
- 05/2021
- 100
- 10
- 2
Kaflar
- Cover Page
- Title Page
- Copyright Page
- Preface to the Adapted Edition
- Preface to the Second Edition
- Preface to the First Edition
- Introduction and Survey
- I.1 | Maxwell Equations in Vacuum, Fields, and Sources
- I.2 | Inverse Square Law or the Mass of the Photon
- I.3 | Linear Superposition
- I.4 | Maxwell Equations in Macroscopic Media
- I.5 | Boundary Conditions at Interfaces between Different Media
- I.6 | Some Remarks on Idealizations in Electromagnetism
- References and Suggested Reading
- Chapter 1 / Introduction to Electrostatics
- 1.1 | Coulomb’s Law
- 1.2 | Electric Field
- 1.3 | Gauss’s Law
- 1.4 | Differential Form of Gauss’s Law
- 1.5 | Another Equation of Electrostatics and the Scalar Potential
- 1.6 | Surface Distributions of Charges and Dipoles; Discontinuities in the Electric Field and Potential
- 1.7 | Poisson and Laplace Equations
- 1.8 | Green’s Theorem
- 1.9 | Uniqueness of the Solution with Dirichlet or Neumann Boundary Conditions
- 1.10 | Formal Solution of Electrostatic Boundary-Value Problem with Green Function
- 1.11 | Electrostatic Potential Energy and Energy Density; Capacitance
- Problems
- References and Suggested Reading
- Chapter 2 / Boundary-Value Problems in Electrostatics: I
- 2.1 | Method of Images
- 2.2 | Point Charge in the Presence of a Grounded Conducting Sphere
- 2.3 | Point Charge in the Presence of a Charged, Insulated, Conducting Sphere
- 2.4 | Point Charge Near a Conducting Sphere at Fixed Potential
- 2.5 | Conducting Sphere in a Uniform Electric Field by Method of Images
- 2.6 | Green Function for the Sphere; General Solution for the Potential
- 2.7 | Conducting Sphere with Hemispheres at Different Potentials
- 2.8 | Orthogonal Functions and Expansions
- 2.9 | Separation of Variables; Laplace Equation in Rectangular Coordinates
- 2.10 | A Two-Dimensional Potential Problem; Summation of a Fourier Series
- 2.11 | Fields and Charge Densities in Two-Dimensional Corners and Along Edges
- 2.12 | Introduction to Finite Element Analysis for Electrostatics
- Problems
- References and Suggested Reading
- Chapter 3 / Boundary-Value Problems in Electrostatics: II
- 3.1 | Laplace Equation in Spherical Coordinates
- 3.2 | Legendre Equation and Legendre Polynomials
- 3.3 | Boundary-Value Problems with Azimuthal Symmetry
- 3.4 | Behavior of Fields in a Conical Hole or Near a Sharp Point
- 3.5 | Associated Legendre Functions and the Spherical Harmonics Ylm(θ, φ)
- 3.6 | Addition Theorem for Spherical Harmonics
- 3.7 | Laplace Equation in Cylindrical Coordinates; Bessel Functions
- 3.8 | Boundary-Value Problems in Cylindrical Coordinates
- 3.9 | Expansion of Green Functions in Spherical Coordinates
- 3.10 | Solution of Potential Problems with the Spherical Green Function Expansion
- Problems
- References and Suggested Reading
- Chapter 4 / Multipoles, Electrostatics of Macroscopic Media, Dielectrics
- 4.1 | Multipole Expansion
- 4.2 | Multipole Expansion of the Energy of a Charge Distribution in an External Field
- 4.3 | Elementary Treatment of Electrostatics with Ponderable Media
- 4.4 | Boundary-Value Problems with Dielectrics
- 4.5 | Molecular Polarizability and Electric Susceptibility
- 4.6 | Models for the Molecular Polarizability
- 4.7 | Electrostatic Energy in Dielectric Media
- Problems
- References and Suggested Reading
- Chapter 5 / Magnetostatics, Faraday’s Law, Quasi-Static Fields
- 5.1 | Introduction and Definitions
- 5.2 | Biot and Savart Law
- 5.3 | Differential Equations of Magnetostatics and Ampère’s Law
- 5.4 | Vector Potential
- 5.5 | Vector Potential and Magnetic Induction for a Circular Current Loop
- 5.6 | Magnetic Fields of a Localized Current Distribution, Magnetic Moment
- 5.7 | Force and Torque on and Energy of a Localized Current Distribution in an External Magnetic Induction
- 5.8 | Macroscopic Equations, Boundary Conditions on B and H
- 5.9 | Methods of Solving Boundary-Value Problems in Magnetostatics
- 5.10 | Uniformly Magnetized Sphere
- 5.11 | Magnetized Sphere in an External Field; Permanent Magnets
- 5.12 | Numerical Methods for Two-Dimensional Magnetic Fields
- 5.13 | Faraday’s Law of Induction
- 5.14 | Energy in the Magnetic Field
- 5.15 | Energy and Self- and Mutual Inductances
- 5.16 | Quasi-Static Magnetic Fields in Conductors; Eddy Currents; Magnetic Diffusion
- Problems
- References and Suggested Reading
- Chapter 6 / Maxwell Equations, Conservation Laws
- 6.1 | Maxwell’s Displacement Current; Maxwell Equations
- 6.2 | Vector and Scalar Potentials
- 6.3 | Gauge Transformations, Lorenz Gauge, Coulomb Gauge
- 6.4 | Green Functions for the Wave Equation
- 6.5 | Retarded Solutions for the Fields: Jefimenko’s Generalizations of the Coulomb and Biot–Savart Laws; Heaviside–Feynman Expressions for Fields of Point Charge
- 6.6 | Poynting’s Theorem and Conservation of Energy and Momentum for a System of Charged Particles and Electromagnetic Fields
- 6.7 | Transformation Properties of Electromagnetic Fields and Sources Under Rotations, Spatial Reflections, and Time Reversal
- 6.8 | On the Question of Magnetic Monopoles
- 6.9 | Discussion of the Dirac Quantization Condition
- 6.10 | Polarization Potentials (Hertz Vectors)
- Problems
- References and Suggested Reading
- Chapter 7 / Plane Electromagnetic Waves and Wave Propagation
- 7.1 | Plane Waves in a Nonconducting Medium
- 7.2 | Linear and Circular Polarization; Stokes Parameters
- 7.3 | Reflection and Refraction of Electromagnetic Waves at a Plane Interface between Dielectrics
- 7.4 | Polarization by Reflection and Total Internal Reflection; Goos–Hänchen Effect
- 7.5 | Frequency Dispersion Characteristics of Dielectrics, Conductors, and Plasmas
- 7.6 | Simplified Model of Propagation in the Ionosphere and Magnetosphere
- 7.7 | Magnetohydrodynamic Waves
- 7.8 | Superposition of Waves in One Dimension; Group Velocity
- 7.9 | Illustration of the Spreading of a Pulse as It Propagates in a Dispersive Medium
- 7.10 | Causality in the Connection between D and E; Kramers–Kronig Relations
- Problems
- References and Suggested Reading
- Chapter 8 / Waveguides, Resonant Cavities, and Optical Fibers
- 8.1 | Fields at the Surface of and Within a Conductor
- 8.2 | Cylindrical Cavities and Waveguides
- 8.3 | Waveguides
- 8.4 | Modes in a Rectangular Waveguide
- 8.5 | Energy Flow and Attenuation in Waveguides
- 8.6 | Resonant Cavities
- 8.7 | Power Losses in a Cavity; Q of a Cavity
- 8.8 | Earth and Ionosphere as a Resonant Cavity: Schumann Resonances
- 8.9 | Multimode Propagation in Optical Fibers
- 8.10 | Modes in Dielectric Waveguides
- Problems
- References and Suggested Reading
- Chapter 9 / Radiating Systems, Multipole Fields and Radiation
- 9.1 | Fields and Radiation of a Localized Oscillating Source
- 9.2 | Electric Dipole Fields and Radiation
- 9.3 | Magnetic Dipole and Electric Quadrupole Fields
- 9.4 | Center-Fed Linear Antenna
- 9.5 | Spherical Wave Solutions of the Scalar Wave Equation
- 9.6 | Multipole Expansion of the Electromagnetic Fields
- 9.7 | Properties of Multipole Fields; Energy and Angular Momentum of Multipole Radiation
- 9.8 | Angular Distribution of Multipole Radiation
- 9.9 | Sources of Multipole Radiation; Multipole Moments
- 9.10 | Multipole Radiation from a Linear, Center-Fed Antenna
- Problems
- References and Suggested Reading
- Chapter 10 / Scattering and Diffraction
- 10.1 | Scattering at Long Wavelengths
- 10.2 | Scalar Diffraction Theory
- 10.3 | Vector Equivalents of the Kirchhoff Integral
- 10.4 | Vectorial Diffraction Theory
- 10.5 | Babinet’s Principle of Complementary Screens
- 10.6 | Diffraction by a Circular Aperture; Remarks on Small Apertures
- 10.7 | Scattering in the Short-Wavelength Limit
- 10.8 | Optical Theorem and Related Matters
- Problems
- References and Suggested Reading
- Chapter 11 / Special Theory of Relativity
- 11.1 | The Situation Before 1900, Einstein’s Two Postulates
- 11.2 | Some Recent Experiments
- 11.3 | Lorentz Transformations and Basic Kinematic Results of Special Relativity
- 11.4 | Addition of Velocities, 4-Velocity
- 11.5 | Relativistic Momentum and Energy of a Particle
- 11.6 | Mathematical Properties of the Space-Time of Special Relativity
- 11.7 | Matrix Representation of Lorentz Transformations, Infinitesimal Generators
- 11.8 | Thomas Precession
- 11.9 | Invariance of Electric Charge; Covariance of Electrodynamics
- 11.10 | Transformation of Electromagnetic Fields
- 11.11 | Note on Notation and Units in Relativistic Kinematics
- Problems
- References and Suggested Reading
- Chapter 12 / Dynamics of Relativistic Particles and Electromagnetic Fields
- 12.1 | Lagrangian and Hamiltonian for a Relativistic Charged Particle in External Electromagnetic Fields
- 12.2 | Motion in a Uniform, Static Magnetic Field
- 12.3 | Motion in Combined, Uniform, Static Electric and Magnetic Fields
- 12.4 | Particle Drifts in Nonuniform, Static Magnetic Fields
- 12.5 | Lowest Order Relativistic Corrections to the Lagrangian for Interacting Charge Particles: The Darwin Lagrangian
- 12.6 | Lagrangian for the Electromagnetic Field
- 12.7 | Proca Lagrangian; Photon Mass Effects
- 12.8 | Effective “Photon” Mass in Superconductivity; London Penetration Depth
- 12.9 | Canonical and Symmetric Stress Tensors; Conservation Laws
- 12.10 | Solution of the Wave Equation in Covariant Form; Invariant Green Functions
- Problems
- References and Suggested Reading
- Chapter 13 / Collisions, Energy Loss, and Scattering of Charged Particles; Cherenkov and Transition Radiation
- 13.1 | Energy Transfer in a Coulomb Collision Between Heavy Incident Particle and Stationary Free Electron; Energy Loss in Hard Collisions
- 13.2 | Energy Loss from Soft Collisions; Total Energy Loss
- 13.3 | Density Effect in Collisional Energy Loss
- 13.4 | Cherenkov Radiation
- 13.5 | Elastic Scattering of Fast Charged Particles by Atoms
- 13.6 | Transition Radiation
- Problems
- References and Suggested Reading
- Chapter 14 / Radiation by Moving Charges
- 14.1 | Liénard–Wiechert Potentials and Fields for a Point Charge
- 14.2 | Total Power Radiated by an Accelerated Charge: Larmor’s Formula and Its Relativistic Generalization
- 14.3 | Angular Distribution of Radiation Emitted by an Accelerated Charge
- 14.4 | Frequency Spectrum of Radiation Emitted by a Relativistic Charged Particle in Instantaneously Circular Motion
- 14.5 | Undulators and Wigglers for Synchrotron Light Sources
- 14.6 | Thomson Scattering of Radiation
- Problems
- References and Suggested Reading
- Chapter 15 / Bremsstrahlung, Radiative Beta Processes
- 15.1 | Radiation Emitted During Collisions
- 15.2 | Bremsstrahlung in Coulomb Collisions
- 15.3 | Screening Effects; Relativistic Radiative Energy Loss
- 15.4 | Radiation Emitted During Beta Decay
- Problems
- References and Suggested Reading
- Chapter 16 / Radiation Damping, Classical Models of Charged Particles
- 16.1 | Introductory Considerations
- 16.2 | Radiative Reaction Force from Conservation of Energy
- 16.3 | Abraham–Lorentz Evaluation of the Self-Force
- 16.4 | Relativistic Covariance; Stability and Poincaré Stresses
- 16.5 | Covariant Definitions of Electromagnetic Energy and Momentum
- 16.6 | Covariant Stable Charged Particle
- 16.7 | Line Breadth and Level Shift of a Radiating Oscillator
- 16.8 | Scattering and Absorption of Radiation by an Oscillator
- Problems
- References and Suggested Reading
- A / Appendix on Units and Dimensions
- A.1 | Units and Dimensions; Basic Units and Derived Units
- A.2 | Electromagnetic Units and Equations
- A.3 | Various Systems of Electromagnetic Units
- A.4 | Conversion of Equations and Amounts Between SI Units and Gaussian Units
- B / Appendix on Equations of Macroscopic Electromagnetism
- References and Suggested Reading
- Index
- EULA