| 1 |
Introduction to Fields
Vectors, Index Notation, Basic Vector Operations |
|
| 2 |
Review of Vector Calculus
Potential Fields, Stokes and Divergence Theorems, Curvilinear Coordinates |
Problem set 1 out |
| 3 |
Vector Calculus in Spherical Coordinates, Volume and Area Elements, Dirac Delta Function |
|
| 4 |
Delta Function in Three Dimensions and in Curvilinear Coordinates, Laplacian of 1/r |
Problem set 2 out |
| 5 |
Electric Field, Coulomb's and Gauss's Laws, Boundary Conditions on Electric Field |
Problem set 1 due |
| 6 |
Electric Potential, Work and Energy in Electrostatics |
|
| 7 |
Conductors and Capacitors, Laplace's Equation, Mean Value and Uniqueness Theorems |
Problem set 2 due
Problem set 3 out |
| 8 |
Image Charges, Separation of Variables |
|
| 9 |
Separation of Variables (cont.), Legendre Polynomials |
|
| 10 |
Multipole Expansion, Dipole Fields |
Problem set 3 due
Problem set 4 out |
| 11 |
Dipoles and Electric Polarization in Matter |
|
| 12 |
Dielectrics, Bound and Free Charges, Electric Displacement |
Problem set 5 out |
| 13 |
Boundary Value Problems with Dielectrics |
Problem set 4 due |
| 14 |
Lorentz Force Law, Biot-Savart Law, Ampere's Law |
|
| 15 |
Magnetic Vector Potential, Boundary Conditions on B |
Problem set 5 due
Problem set 6 out |
| 16 |
Magnetic Multipoles, Torque, Force, and Energy of Magnetic Dipoles |
|
| 17 |
Magnetic Materials, Paramagnetism, Diamagnetism, Magnetization, Bound Currents |
|
| 18 |
H Field, Boundary Conditions on H, Magnetic Susceptibility and Permeability, Ampere's Law with Free Currents, Ferromagnetism |
Problem set 6 due
Problem set 7 out |
| 19 |
Midterm Exam (Chapters 1-6) |
|
| 20 |
Ohm's Law, EMFs, Faraday's Law |
|
| 21 |
Inductance, Magnetic Energy Density |
Problem set 7 due
Problem set 8 out |
| 22 |
Displacement Current, Charge Conservation, Field Lines, Polarization Current, Maxwell Equations in Matter |
|
| 23 |
Boundary Conditions on Fields, Energy-momentum Conservation for EM Fields, Poynting Theorem, Charging Capacitor |
|
| 24 |
Momentum carried by EM Fields, Maxwell Stress Tensor, Momentum Flux |
Problem set 8 due |
| 25 |
Waves in One and Three Dimensions, Reflection and Transmission, Polarization |
|
| 26 |
Electromagnetic Waves in Vacuum, Energy and Momentum carried by EM Waves |
Problem set 9 out |
| 27 |
EM Waves in Matter, Reflection and Transmission at a Dielectric Interface, Laws of Geometric Optics |
|
| 28 |
Fresnel Equations, Polarization by Reflection, EM Waves in Imperfect Conductors |
|
| 29 |
How a Microwave Oven Works: Joule Heating by EM Waves in Imperfect Conductors |
Problem set 9 due |
| 30 |
Lorentz Oscillator Model for Atomic Dispersion and Absorption, Negative-index Materials |
|
| 31 |
Waveguides, TE and TM Modes |
Problem set 10 out |
| 32 |
Helmholtz Theorem, EM Potentials, Gauge Transformations, Coulomb Gauge, Lorentz Gauge and Green's Function Solution |
|
| 33 |
Coulomb Gauge Potentials, Jefimenko's Equations, Lienard-Wiechert Potentials |
|
| 34 |
EM Fields of a Moving Point Charge, Geometric Interpretation of Radiation Fields, Radiation from an Accelerated Charge, Power Pattern |
Problem set 10 due
Problem set 11 out |
| 35 |
Radiated Power, Radiation Reaction, Electric Dipole Radiation, Larmor Formula |
|
| 36 |
Electric Quadrupole and Magnetic Dipole Radiation, Thomson Scattering |
|
| 37 |
4-vectors, Lorentz Transformations, 4-current and 4-potential, Lorentz Force Law |
Problem set 11 due |
| 38 |
Lorentz Transformation of EM Fields, Maxwell Field Strength Tensor, Covariant Maxwell Equations |
|
| 39 |
Electromagnetism of Pulsars |
|
|
Final Exam |
|