| 1 |
Introduction to Fields
Vectors, Index Notation, Basic Vector Operations |
Griffiths: "Advertisement" and Section 1.1 |
| 2 |
Review of Vector Calculus
Potential Fields, Stokes and Divergence Theorems, Curvilinear Coordinates |
Griffiths: Sections 1.2, 1.3, 1.4, 1.6
Primer on Index Notation (PDF) |
| 3 |
Vector Calculus in Spherical Coordinates, Volume and Area Elements, Dirac Delta Function |
Griffiths: Section 1.5 |
| 4 |
Delta Function in Three Dimensions and in Curvilinear Coordinates, Laplacian of 1/r |
Griffiths: Section 1.6
Delta Function for a Double Root (Corrected Version) (PDF) |
| 5 |
Electric Field, Coulomb's and Gauss's Laws, Boundary Conditions on Electric Field |
Griffiths: Sections 2.1, 2.2 |
| 6 |
Electric Potential, Work and Energy in Electrostatics |
Griffiths: Sections 2.3, 2.4 |
| 7 |
Conductors and Capacitors, Laplace's Equation, Mean Value and Uniqueness Theorems |
Griffiths: Sections 2.5, 3.1 |
| 8 |
Image Charges, Separation of Variables |
Griffiths: Section 3.2
Completeness Relations (PDF) |
| 9 |
Separation of Variables (cont.), Legendre Polynomials |
Griffiths: Section 3.3 |
| 10 |
Multipole Expansion, Dipole Fields |
Griffiths: Section 3.4 |
| 11 |
Dipoles and Electric Polarization in Matter |
Griffiths: Section 4.1 |
| 12 |
Dielectrics, Bound and Free Charges, Electric Displacement |
Griffiths: Sections 4.2-4.3 |
| 13 |
Boundary Value Problems with Dielectrics |
Griffiths: Section 4.4 |
| 14 |
Lorentz Force Law, Biot-Savart Law, Ampere's Law |
Griffiths: Sections 5.1-5.3 |
| 15 |
Magnetic Vector Potential, Boundary Conditions on B |
Griffiths: Section 5.4 |
| 16 |
Magnetic Multipoles, Torque, Force, and Energy of Magnetic Dipoles |
Griffiths: Section 6.1 |
| 17 |
Magnetic Materials, Paramagnetism, Diamagnetism, Magnetization, Bound Currents |
Griffiths: Sections 6.2, 6.3 |
| 18 |
H Field, Boundary Conditions on H, Magnetic Susceptibility and Permeability, Ampere's Law with Free Currents, Ferromagnetism |
Griffiths: Sections 6.3, 6.4 |
| 19 |
Midterm Exam (Chapters 1-6) |
|
| 20 |
Ohm's Law, EMFs, Faraday's Law |
Griffiths: Sections 7.1, 7.2 |
| 21 |
Inductance, Magnetic Energy Density |
Griffiths: Section 7.2 |
| 22 |
Displacement Current, Charge Conservation, Field Lines, Polarization Current, Maxwell Equations in Matter |
Griffiths: Section 7.3 |
| 23 |
Boundary Conditions on Fields, Energy-momentum Conservation for EM Fields, Poynting Theorem, Charging Capacitor |
Griffiths: Section 8.1 |
| 24 |
Momentum carried by EM Fields, Maxwell Stress Tensor, Momentum Flux |
Griffiths: Section 8.2 |
| 25 |
Waves in One and Three Dimensions, Reflection and Transmission, Polarization |
Griffiths: Section 9.1 |
| 26 |
Electromagnetic Waves in Vacuum, Energy and Momentum carried by EM Waves |
Griffiths: Section 9.2 |
| 27 |
EM Waves in Matter, Reflection and Transmission at a Dielectric Interface, Laws of Geometric Optics |
Griffiths: Section 9.3 |
| 28 |
Fresnel Equations, Polarization by Reflection, EM Waves in Imperfect Conductors |
Griffiths: Section 9.4 |
| 29 |
How a Microwave Oven Works: Joule Heating by EM Waves in Imperfect Conductors |
|
| 30 |
Lorentz Oscillator Model for Atomic Dispersion and Absorption, Negative-index Materials |
Griffiths: Section 9.4.3 |
| 31 |
Waveguides, TE and TM Modes |
Griffiths: Section 9.5 |
| 32 |
Helmholtz Theorem, EM Potentials, Gauge Transformations, Coulomb Gauge, Lorentz Gauge and Green's Function Solution |
Griffiths: Section 10.1 |
| 33 |
Coulomb Gauge Potentials, Jefimenko's Equations, Lienard-Wiechert Potentials |
Griffiths: Sections 10.2, 10.3.1 |
| 34 |
EM Fields of a Moving Point Charge, Geometric Interpretation of Radiation Fields, Radiation from an Accelerated Charge, Power Pattern |
Griffiths: Sections 10.3.2, 11.2.1 |
| 35 |
Radiated Power, Radiation Reaction, Electric Dipole Radiation, Larmor Formula |
Griffiths: Sections 11.1, 11.2.2, 11.2.3 |
| 36 |
Electric Quadrupole and Magnetic Dipole Radiation, Thomson Scattering |
Electromagnetic Radiation and Scattering (PDF) |
| 37 |
4-vectors, Lorentz Transformations, 4-current and 4-potential, Lorentz Force Law |
Griffiths: Section 12.1 |
| 38 |
Lorentz Transformation of EM Fields, Maxwell Field Strength Tensor, Covariant Maxwell Equations |
Griffiths: Section 12.3 |
| 39 |
Electromagnetism of Pulsars |
Electromagnetic Radiation and Scattering (PDF) |
|
Final Exam |
|