Physics 415: Electromagnetic Theory I
Prof. S. Teitel ----- Fall 2003

Lecture Notes

My hand written class lecture notes are being scanned and uploaded for you to view. Please be warned that these are the notes I prepare for myself to lecture from - they are not in general carefully prepared for others to read. I make no guarentees about their legibility, or that they are totally free of errors. I hope, nevertheless that you will find them useful. The lectures are uploaded as pdf files, so you will need Adobe Acrobat Reader in order to read them. You can download Acrobat Reader for free here.

The lecture note files correspond roughly to the material presented in a given day's lecture. But you may on occassion find the end of one day's lecture at the start of the file for the next day's lecture, so please look there if you think there might be something missing.

  • Lecture 0 - A brief history of electromagnetism

  • Lecture 1 - From Coulomb to Maxwell, part I - Electrostatics: Coulomb's law, electric field, charge density, Dirac delta function, Gauss' law

  • Lecture 2 - From Coulomb to Maxwell, part II - Magnetostatics: Lorentz force, magnetic field, Biot-Savart law, current density, local conservation of charge, Ampere's law

  • Lecture 3 - From Coulomb to Maxwell, part III - Electrodynamics: Faraday's law, Maxwell's correction to Ampere's law, electromagnetic waves, scalar and vector potentials, gauge invarience

  • Lecture 4 - Lorentz gauge and Coulomb gauge, Fourier transforms, longitudinal and transverse parts of a vector field

  • Lecture 5 - Electrostatics: Poisson's equations, Greens functions part I, conductors in electrostatics, boundary conditions at charged surfaces

  • Lecture 6 - Some simple problems, Poisson's equation and boundary value problems, uniqueness, Green functions

  • Lecture 7 - The image charge method

  • Lecture 8 - Separation of Variables Method, Part I: rectangular and polar coordinates

  • Lecture 9 - Separation of Variables Method, Part II: spherical coordinates

  • Lecture 10 - Multipole expansion, Part I: monopole, dipole, and quadrapole moments

  • Lecture 11 - Multipole expansion, Part II; Eigenfuntion expansion for Green function

  • Lecture 12 - Magnetostatics: magnetic dipole approximation

  • Lecture 13 - Boundary value problems in magnetostatics: magnetic scalar potential, symmetry, psuedovectors

  • Lecture 14 - Macroscopic Maxwell's equations: Dielectric materials, polarization density, electric displacement field D, bound charges

  • Lecture 15 - Macroscopic Maxwell's equations: Magnetic materials, magnetization density, magnetic field H

  • Lecture 16 - Macroscopic Maxwell equations: properties of bound charge and current, boundary conditions, linear materials

  • Lecture 17 - Macroscopic Maxwell's equations: Clausius-Mossotti equation, linear materials - examples, magnetostatics of bar magnets

  • Lecture 18 - Conservation of energy and momentum in electrodynamics

  • Lecture 19 - Capcitance and inductance tensors; force and torque on electric and magnetic dipoles

  • Lecture 20 - Electrostatic and magnetostatic interaction energy; energy of dipoles in fields; plane waves in a vacuum

  • Lecture 21 - Energy and momentum of waves in a vacuum; frequency dependent polarizeability

  • Lecture 22 - Electromagnetic waves in a dielectric and a conductor

  • Lecture 23 - Electromagnetic waves and longitudinal modes in a conductor; polarization

  • Lecture 24 - Reflection and transmission of waves at a planar interface

  • Lecture 25 - Coefficient of reflection, Brewster's angle; Kramers-Kronig relation

  • Lecture 26 - Green's function for the wave equation, Lienard-Wiechert potentials; radiation from an oscillating source

  • Lecture 27 - Radiation from an oscillating source: electric dipole, magnetic dipole, electric quadrapole terms

  • Lecture 28 - Radiation from point charge, Larmor's formular, special relativity

  • Lecture 29 - Electrodynamics in special relativity, relativistic Larmor's formula

Last update: Tuesday, August 21, 2007 at 5:49:38 PM.