Preface |
List of Symbols |
Prologue / Chapter 1: |
Scalars and vectors / 1.1: |
Effect of rotations on scalars and vectors / 1.2: |
Integrals involving vectors / 1.3: |
Gradient and curl, conservative field and scalar potential / 1.4: |
Divergence, conservative flux, and vector potential / 1.5: |
Other properties of the vector differential operator / 1.6: |
Invariance and physical laws / 1.7: |
Electric charges in nature / 1.8: |
Interactions in nature / 1.9: |
Problems / 1.10: |
Electrostatics in Vacuum / Chapter 2: |
Electric forces and field / 2.1: |
Electric energy and potential / 2.2: |
The two fundamental laws of electrostatics / 2.3: |
Poisson's equation and its solutions / 2.4: |
Symmetries of the electric field and potential / 2.5: |
Electric dipole / 2.6: |
Electric field and potential of simple charge configurations / 2.7: |
Some general properties of the electric field and potential / 2.8: |
Electrostatic energy of a system of charges / 2.9: |
Electrostatic binding energy of ionic crystals and atomic nuclei / 2.10: |
Interaction-at-a-distance and local interaction* / 2.11: |
Conductors and Currents / 2.12: |
Conductors in equilibrium / 3.1: |
Conductors with cavities, electric shielding / 3.2: |
Capacitors / 3.3: |
Mutual electric influence of conductors / 3.4: |
Electric forces between conductors / 3.5: |
Currents and current densities / 3.6: |
Classical model of conduction, Ohm's law and the Joule effect / 3.7: |
Resistance of conductors / 3.8: |
Variation of resistivity with temperature, superconductivity / 3.9: |
Band theory of conduction, semiconductors* / 3.10: |
Electric circuits / 3.11: |
Dielectrics / 3.12: |
Effects of dielectric on capacitors / 4.1: |
Polarization of dielectrics / 4.2: |
Microscopic interpretation of polarization / 4.3: |
Polarization charges in dielectric / 4.4: |
Potential and field of polarized dielectrics / 4.5: |
Gauss's law in the case of dielectrics, electric displacement / 4.6: |
Electrostatic equations in dielectrics / 4.7: |
Field and potential of permanent dielectrics / 4.8: |
Polarization of a dielectric in an external field / 4.9: |
Energy and force in dielectrics / 4.10: |
Action of an electric field on a polarized medium / 4.11: |
Electric susceptibility and permitivity / 4.12: |
Variation of polarization with temperature / 4.13: |
Nonlinear of dielectrics and non-isotropic dielectrics / 4.14: |
Special Techniques and Approximation Methods / 4.15: |
Unicity of the solution / 5.1: |
Method of images / 5.2: |
Method of analytic functions / 5.3: |
Method of separation of variables / 5.4: |
Laplace's equation in Cartesian coordinates / 5.5: |
Laplace's equation in spherical coordinates / 5.6: |
Laplace's equation in cylindrical coordinates / 5.7: |
Multipole expansion / 5.8: |
Other methods / 5.9: |
Magnetic Field in Vacuum / 5.10: |
Force exerted by a magnetic field on a moving charge / 6.1: |
Force exerted by a magnetic field on a current, Laplace's force / 6.2: |
Magnetic flux and vector potential / 6.3: |
Magnetic field of particles and currents, Biot-Savart's law / 6.4: |
Magnetic moment / 6.5: |
Symmetries of the magnetic field / 6.6: |
Ampère's law in the integral form / 6.7: |
Field and potential of some simple circuits / 6.8: |
Equations of time-independent magnetism in vacuum, singularities of B / 6.9: |
Magnetic energy of a circuit in a field B / 6.10: |
Magnetic forces / 6.11: |
Question of magnetic monopoles* / 6.12: |
Magnetism in Matter / 6.13: |
Types of magnetism / 7.1: |
Diamagnetism and paramagnetism / 7.2: |
Magnetization current / 7.3: |
Magnetic field and vector potential in the presence of magnetic matter / 7.4: |
Ampère's law in the integral form in the presence of magnetic matter / 7.5: |
Equations of time-independent magnetism in the presence of matter / 7.6: |
Discontinuities of the magnetic field / 7.7: |
Examples of calculation of the field of permanent magnets / 7.8: |
Magnetization of a body in an external field / 7.9: |
Magnetic susceptibility, nonlinear mediums and non-isotropic mediums / 7.10: |
Action of a magnetic field on a magnetic body / 7.11: |
Magnetic energy in matter / 7.12: |
Variation of magnetization with temperature / 7.13: |
Ferromagnetism / 7.14: |
Magnetic circuits / 7.15: |
Induction / 7.16: |
Induction due to the variation of the flux, Faraday's and Lenz's laws / 8.1: |
Neumann's induction / 8.2: |
Lorentz induction / 8.3: |
Lorentz induction and the Galilean transformation of fields / 8.4: |
Mutual inductance and self-inductance / 8.5: |
LR circuit / 8.6: |
Magnetic energy / 8.7: |
Magnetic forces acting on circuits / 8.8: |
Some applications of induction / 8.9: |
Maxwell's Equations / 8.10: |
Fundamental laws of electromagnetism / 9.1: |
Maxwell's equations / 9.2: |
Electromagnetic potentials and gauge transformation / 9.3: |
Quasi-permanent approximation / 9.4: |
Discontinuities on the interface of two mediums / 9.5: |
Electromagnetic energy and Poynting vector / 9.6: |
Electromagnetic pressure, Maxwell's tensor / 9.7: |
Electromagnetic Waves / 9.8: |
A short review on waves / 10.1: |
Electromagnetic waves in infinite vacuum and dielectrics / 10.2: |
Polarization of electromagnetic waves / 10.3: |
Energy and intensity of plane electromagnetic waves / 10.4: |
Momentum and angular momentum densities, radiation pressure / 10.5: |
A simple model of dispersion / 10.6: |
Electromagnetic waves in conductors / 10.7: |
Electromagnetic waves in plasmas / 10.8: |
Quantization of electromagnetic waves / 10.9: |
Electromagnetic spectrum / 10.10: |
Emission of electromagnetic radiations / 10.11: |
Spontaneous and stimulated emissions / 10.12: |
Reflection, Interference, Diffraction and Diffusion / 10.13: |
General laws of reflection and refraction / 11.1: |
Reflection and refraction on the interface of two dielectrics / 11.2: |
Total reflection / 11.3: |
Reflection on a conductor / 11.4: |
Reflection on a plasma / 11.5: |
Interference of two electromagnetic waves / 11.6: |
Superposition of several waves, conditions for observable interference / 11.7: |
Huygens-Fresnel's principle and diffraction by an aperture / 11.8: |
Diffraction by an obstacle, Babinet's theorem / 11.9: |
Diffraction by several randomly distributed identical apertures / 11.10: |
Diffraction grating / 11.11: |
X-ray diffraction / 11.12: |
Diffusion of waves* / 11.13: |
Cross-section* / 11.14: |
Guided Waves / 11.15: |
Transmission lines / 12.1: |
Guided waves / 12.2: |
Waveguides formed by two plane and parallel plates / 12.3: |
Guided electromagnetic waves in a hollow conductor / 12.4: |
Energy propagation in waveguides / 12.5: |
Cavities / 12.6: |
Applications of waveguides / 12.7: |
Special Relativity and Electrodynamics / 12.8: |
Galilean relativity in mechanics / 13.1: |
Galilean relativity and wave theory* / 13.2: |
The 19th Century experiments on the velocity of light / 13.3: |
Special theory of relativity / 13.4: |
Four-dimensional formalism / 13.5: |
Elements of relativistic mechanics / 13.6: |
Special relativity and wave theory* / 13.7: |
Elements of relativistic electrodynamics / 13.8: |
Motion of Charged Particles in an Electromagnetic Field / 13.9: |
Motion of a charged particle in an electric field / 14.1: |
Bohr model for the hydrogen atom* / 14.2: |
Rutherford's scattering* / 14.3: |
Motion of a charged particle in a magnetic field / 14.4: |
Motion in crossed electric and magnetic fields / 14.5: |
Magnetic moment in a magnetic field / 14.6: |
Emission of Radiation / 14.7: |
Retarded potentials and fields / 15.1: |
Dipole radiation / 15.2: |
Electric dipole radiation / 15.3: |
Magnetic dipole radiation / 15.4: |
Antennas / 15.5: |
Potentials and fields of a charged particle* / 15.6: |
Case of a charged particle with constant velocity* / 15.7: |
Radiated energy by a moving charge / 15.8: |
Answers to Some Problems / 15.9: |
Mathematical Review / Appendix A: |
Units in Physics / Appendix B: |
Some Physical Constants / Appendix C: |
Further Reading |
Index |