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PHY 415: Electromagnetic Theory I
Prof. S. Teitel stte@pas.rochester.edu  Fall 2008
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 guarantees 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: Coulomb' law, superposition, the electric field, Maxwell's equations for electrostatics
 Lecture 2  Coulomb to Maxwell continued: magnetostatics, Lorentz force, BiotSavart law, local charge conservation, Faraday's law, Maxwell's correction to Ampere's law, the complete Maxwell's equations, electromagnetic waves, systems of units
 Lecture 3  Electromagnetic scalar and vector potentials, gauge invariance, the Lorentz gauge, the Coulomb gauge
 Lecture 4  Longitudinal and transverse parts of a vector field, quick review of Fourier transforms, the Greens function, the Coulomb problem as a boundary value problem, properties of a conductor in electrostatics, boundary conditions at a charged surface
 Lecture 5  Boundary conditions at a charged surface continued, examples, Green's identities, uniqueness of solutions
 Lecture 6  The image charge method
 Lecture 7  Separation of variables in rectangular and cylindrical coordinates
 Lecture 8  Separation of variables in spherical coordinates
 Lecture 9  Multipole expansion: monopole, dipole moment, quadrapole tensor
 Lecture 10  Magnetostatics and the magnetic dipole approximation
 Lecture 11  Magnetostatic boundary value problems and the magnetic scalar potential
 Lecture 12  Macroscopic Maxwell equations: dielectric materials, bound charge, the electric displacement field D
 Lecture 13  Macroscopic Maxwell equations: magnetic materials, bound currents, magnetization density, magnetic field H
 Lecture 14  Bound currents, boundary conditions and macroscopic Maxwell equations, linear materials, dielectric constant and magnetic permeability
 Lecture 15  ClausiusMossati equation, linear dielectric examples, bar magnets
 Lecture 16  Energy conservation in electromagnetism, Poynting vector
 Lecture 17  Electrostatic and magnetostatic energy, momentum conservation, Maxwell stress tensor, capacitance matrix
 Lecture 18  Inductance matrix, [not done in lecture, but still lots of fun: force, torque, energy of electric and magnetic dipoles in an external field; electrostatic and magnetostatic energies of interaction], electromagnetic plane waves in a vacuum
 Lecture 19  Frequency dependent atomic polarizability and dielectric function, harmonic plane waves in a dielectric
 Lecture 20  Waves in dieletrics: transparent propagation, resonant absorption, total reflection; waves in conductors: conduction electron current and charge density, ac conductivity
 Lecture 21  Waves in conductors: effective dielectric function, "good metals", skin depth, plasma frequency, plasma oscilations; polarization
 Lecture 22  Elliptically and circularly polarized waves, reflection and transmission at interfaces, Snell's law, total internal reflection, transmission into an absorbing medium
 Lecture 23  Reflection coefficients, total reflection, Brewster's angle, KramersKronig relation
 Lecture 24  Green's function for the inhomogeneous wave equation, the LienardWiechert potentials for a moving point charge
 Lecture 25  Electromagnetic potentials for a point charge moving with constant velocity, radiation from an oscillating current source: electric dipole, magnetic dipole, and electric quadrapole terms
 Lecture 26  Fields, Poynting vector and radiated power from elecric dipole, magnetic dipole and electric quadrapole radiation; fields and radiated power from arbitrary time varying sources in the electric dipole approximation; Larmor's formula for power radiated by a moving charge
 Lecture 27  Special relativity, Lorentz transformations, 4vectors, proper time, 4current, 4potential, field strength tensor, Maxwell's inhomogeneous equations in Lorentz covariant form
 Lecture 28  Maxwell's homogeneous equations in Lorentz covariant form, transformations of E and B fields, kinematics, the energymomentum 4vector, Minkowski 4force, Lorentz force revisited, relativistic Larmor's formula

