Lecture Notes on Methods for Electrodynamics (PHY505)

Spring 2022, Jacobus Verbaarschot

Lecture 1, 1-24-2022
Introduction, Coulomb Law

Lecture 2, 1-26-2022
Electric Field, Potential, Gauss Law

Lecture 3, 1-28-2022
Poisson Equation, Expansion in Spherical Harmonics

Lecture 4, 1-31-2022
Solution of Laplace Equation in Spherical Coordinates, Spherical Harmonics

Lecture 5, 2-2-2022
Charge above Conducting Surface Using Spherical Harmonic

Lecture 6, 2-4-2022
Uniqueness theorem, General properties of Spherical harmonics.

Lecture 7, 2-7-2022
Image Charges, Dipole Moment, Electrostatics of Conoductors

Lecture 8, 2-9-2022
Uniqueness Theorem, Green's Function with Application

Lecture 9, 2-11-2022
Energy of Electric Field, Stress Tensor, Example

Lecture 10, 2-14-2022
Energy of Charges, Electrostatics in Matter, Boundary Conditions

Lecture 11, 2-16-2022
Electrostatic Energy in Matter, Dielectric Tensor, Currents

Lecture 12, 2-18-2022
Magnetic Fields, Lorentz Force, Newton's 3rd Law, Pseudo Vector, Amp\`ere's Law

Lecture 13, 2-21-2022
Gauge Potential, Multipole Expansion, Magnetic Moment

Lecture 14, 2-23-2022
Magnetic Dipole Field

Lecture 15, 2-25-2022
Magnetice Fields in Matter, Magnetic Fields of Permanent Magnet, Paramagnetism, Diamagnetism

Lecture 16, 2-28-2022
Magnetic Flux, Electromotive Force

Lecture 17, 3-2-2022
Faraday's Law for arbitrary contour

Lecture 18, 3-4-2022
Consistency of Maxwell Equations, Displacement Current

Lecture 19, 3-7-2022
Energy and Momentum Tensor of Magnetic Fields

Lecture 20, 3-9-2022
Forces on Charges and Currents, Momentum Density, Angulare Momentum Desnity Lecture 21, 3-11-2022
Maxwell Equatinos in Vacuum, Wave Solutions, Plane Waves

Spring Break: March 14-18

Lecture 22, 3-21-2022
Time Dependent Maxwel Equations in Matter

Lecture 23, 3-23-2022
Free Fields in Isotropic Media, Boundary Conditions

Lecture 24, 3-25-2022
Midterm

Lecture 25, 3-28-2022
Infinite Slab

Lecture 26, 3-30-2022
Oblique Reflection

Lecture 27, 4-1-2022
Vwector Potential, Coulomb Gauge, Lorentz Gauge

Lecture 28, 4-4-2022
Green's Function

Lecture 29, 4-6-2022 Cauchy's Theorem

Lecture 30, 4-8-2022
Green's Function in Coordinate Space

Lecture 31, 4-10-2022
Radiation of Harmonic Source, Green's Function, Retarded Fields

Lecture 32, 4-13-2022
Radiation Fields, Electric Dipole Radiation

Lecture 33, 4-15-2022
Magnetic Dipole Radiation, Electric Quadrupole Radiation

Lecture 34, 4-18-2022
Radiation by slowly moving Charges

Lecture 35, 4-20-2022
Larmor Formula

Lecture 36, 4-22-2022 (by Derek Teaney)
Relativity Lecture 37, 4-25-2022 (by Derek Teaney)
4 vectors, Lorentz Group

Lecture 38, 4-27-2022
Lie algebra of the Lorentz Group

Lecture 39, 4-29-2022
Relativistic Kinematics

Lecture 40, 5-2-2022
Lagrangian, Lagrange Equations of Motion

Lecture 41, 5-4-2022
Lagrangian of EM field, Lorentz Force

Lecture 42, 4-6-2022
Lagrangian of EM field, EM field tensor

Final Exam, Wednesday, 5-18-2021, 8-10.45 am