Quick Index on Classical Electrodynamics

Quick Index on Classical Eletrodynamics

Coulomb's Law and Electric Field (Electric Potential)

 * Coulomb's law, Electric field, Gauss's Law, Integral form and differential form
 * Electric potential and Capacitance
 * Birdeye view of the topic: Electrostatic approximation, Quantization of eletromagnetic field, Coulomb gauge etc, spin, degree of freedom
 * Properties of electric filed: Linearity and Superposition, Uniqueness of the solution, Green's theorem and Green's Reciprocate theorem
 * Boundary condition in Electristatics
 * Methods in Electricstatics: Method of imagines, Formal solution with Green funciton, General solution of Laplace equation and particular solution method, Multipoles Expansion

Capacitor and Dielectric

 * Coefficient of capacitance, mutual capacitance
 * Electric polarization and electric displacement field
 * Microscopic classical model of dielectric

Electric Current and Conductivity

 * Quasi-static field
 * Skin effect
 * Superconductivity

Electric Circuit Analysis

 * Electric current characteristics
 * Kirchhoff's circuit laws
 * Node-voltage and mesh-current method (supernode, supermesh)
 * Series and parallel circuit, Star-mesh transformation (Wheatstone bridge)
 * Source transformation
 * Superposition principle, Thévenin and Norton theorem (eg. maximal power transfer)
 * Extra element theorem
 * Operational amplifier
 * Impendance
 * Transient response, underdamped, critically damped, overdamped
 * Three-phase current, phasor vector, complex power
 * Laplace transformation (Ohm and Kirchhoff's law, Thévenin's equivalence in s-domain),
 * Transfer function, steady-state response to a sinusoidal input, frequency selective circuit, passive and active filter
 * Fourier series, Fourier transformation
 * Two port circuit

Nilsson Electric circuit analysis

Magnetic Field

 * Biot and Savart law
 * Vector potential and boundary condition of magnetostatistics
 * Magnetic Multipoles
 * Equivalence between electrostatics and magnetostatics
 * Permanent magnetization

Magnetic Material

 * Hierarchy of types of magnetism: paramagnetism, diamagnetism, ferromagnetism, antiferromagnetism
 * Macroscopic approach: Boundary-value problem, Permanent magnetism
 * Classical explanation of paramagnetism (torque on a current Loop, ou magnetic moment) diamagnetism (Larmor precession)
 * Bohr–van Leeuwen theorem, moment-magnetic field interaction $$\Delta H=-m\cdot \mu_B$$, and quantum mechanical explanation of paramagnetism, paramagnetism, and ferromagnetism
 * Magnetic moment: electron magnetic dipole moment, anomalous magnetic moment, atomic magnetic moment, g-factor, nuclear magnetic moment
 * Shell model: Fully filled shell and Larmor diamagnetism, partially filled shell and Curie's law
 * Free electron approximation: Landau level and Landau diamagnetism
 * Band model and Pauli Paramagnetism
 * Spin-spin interaction: Heisenberg model and spin wave, Ising model and Ferromagnetic
 * Magnetic resonance: nuclear magnetic resonance, magnetic resonance imagine, the knight shift
 * Antiferromagnetic: Spin Glass

Ashcroft, Ziman

Three Phase Electric Circuit

 * Balanced three phase circuit
 * Sinusoidal steady-state power calculation, maximal power transfer
 * Transformer, three phase transformer
 * Generator and Induction Motor
 * AC motor, the torque-speed curve of asynchronous motor
 * Three phase motor, equivalent diagram
 * Three phase conduct line, inductance and capacitance
 * Wye-Wye circuit, Wye-Delta circuit, phase/line voltage/current
 * Method of symmetrical components

Power System Analysis

 * Transformer
 * Asychronous machine
 * Transmission line parameters and calculations
 * Network models, Admittance and impedance representations
 * Power-flow problem, symmetrical components, unsymmetrical fault
 * Economic dispatch, unit commitment
 * Contingency analysis, external equivalents
 * Power system state estimation
 * Power system stability

Stevenson Power system analysis

Superconductivity

 * Experimental facts: perfect conductivity, perfect diamagnetism(Meissner effect) and isotope effect
 * Phenomenological Theory: London's equations, Ginzburg-Landau theory
 * Cooper Pair
 * Microscopic theory: BCS theory, variational approach and Bogoliubov transformation
 * Equation of energy gap at finite temperature

Su, Feynman, Ziman

Maxwell Equations and Electromagnetic Wave

 * Displacement current and Maxwell equations
 * Maxwell equation in the medium
 * Energy conservation and momentum conservation, Poynting's vector, energy momentum flow
 * Vector and Scalar potential, covariant form of Maxwell equation and Gauge transformation
 * Plane wave solution, Linear polarization and circular polarization, Reflection and Refraction
 * Waveguide
 * Green function for the wave equation
 * Interference and diffraction, Huygen's principle

Interference and Diffraction

 * Definition
 * Double-slit experiment, Newton's ring
 * Huygen's principle
 * Single-slit diffraction, Airy disk, diffraction grating, Fresnel zone
 * Particle diffraction, Bragg diffraction