Physics 415: Electromagnetic Theory I
Prof. S. Teitel ----- Fall 2004

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, Biot-Savart law, current density, local charge conservation, Ampere's law; Dynamics: Faraday's law, Maxwell's correction to Ampere's law, electromagnetic waves, systems of units

  • Lecture 3 - Electromagnetic potentials - scalar and vector potentials for statics and dynamics, gauge invarience, Lorentz gauge, Coulomb gauge

  • Lecture 4 - Helmholtz's theorem, longitudinal and transverse parts of a vector field, Fourier transforms, work and the electrostatic potential

  • Lecture 5 - Electrostatics: solving Poisson's equation for simple geometries, conductors in electrostatics, behavior at surface charge layers

  • Lecture 6 - Boundary value problem for Poisson's equation, uniqueness, Green functions

  • Lecture 7 - Image charge method for electrostatics

  • Lecture 8 - Separation of variables - rectangular and polar coordinates

  • Lecture 9 - Separation of variables - spherical coordinates, examples

  • Lecture 10 - Multipole expansion - monopole, dipole, quadrapole tensor

  • Lecture 11 - Eigenfunction expansion for the Greens function, magnetostatics

  • Lecture 12 - Magnetic dipole approximation, magnetic scalar potential

  • Lecture 13 - Magnetic scalar potential continued, vectors and pseudovectors, dielectrics

  • Lecture 14 - Dielectrics - the displacement field D; polarization and bound charge; intro to magnetic materials

  • Lecture 15 - Magnetic field H, magnetization density, bound currents

  • Lecture 16 - Boundary conditions, linear materials, Clausius-Massotti relation

  • Lecture 17 - Boundary value problems with linear dielectrics; bar magnets

  • Lecture 18 - Energy and momentum conservation in electrmagnetism

  • Lecture 19 - Force and torque on electric and magnetic dipoles; capacitance and inductance

  • Lecture 20 - Energy of electric and magnetic dipoles in an external field; waves in a vacuum

  • Lecture 21 - Electromagnetic waves in matter, frequency dependent polarizability

  • Lecture 22 - Electromagnetic waves in dielectrics

  • Lecture 23 - Electromagnetic waves in conductors, plasma oscillation

  • Lecture 24 - Polarization of waves, reflection and transmission at interfaces

  • Lecture 25 - Reflection and transmission at interfaces continued; total internal reflection, reflection coefficients, Brewster's angle

  • Lecture 26 - Karmers-Kronig relation, Greens function for the wave equation, the Lienard-Wiechert potentials

  • Lecture 27 - Potentials from a uniformly moving charge, multipole expansion for radiation from an oscillating current

  • Lecture 28 - Radiated fields and power for electric dipole, magnetic dipole, and electric quadrapole radiation

  • Lecture 29 - Radiation from a source with general time dependence, radiation from a moving point charge, Larmor's formula

Last update: Tuesday, August 21, 2007 at 11:07:52 PM.