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PHY 415: Electromagnetic Theory I
Prof. S. Teitel stte@pas.rochester.edu  Fall 2011
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: charge, Coulombs law, the electric field, differential and integral form of Maxwell's equations for electrostatics
 Lecture 2  From Coulomb to Maxwell: Lorentz force, the magnetic field, current density, charge conservation and the definition of magnetostatics, Maxwell's equations for magnetostatics, Faraday's Law, Maxwell's correction to Ampere's Law, EM waves
 Lecture 3  Systems of units, scalar and vector potentials, gauge invariance, Lorentz gauge, Coulomb gauge
 Lecture 4  Longitudinal and transverse parts of a vector function, review Fourier transforms, physical meaning of the electrostatic potential, Green's function, conductors in electrostatics
 Lecture 5  Coulomb problem as a boundary value problem, electric field at a charged surface, Dirichlet vs Neumann boundary condition, examples, Green's identities and uniqueness
Green's functions, part II  Greens functions for Dirichlet and Neumann boundary conditions  we will not go over this in lecture.
 Lecture 6  The image charge method for a charge in front of an infinite plane, and in front of a conducting sphere
 Lecture 7  Separation of variables method in rectangular and polar coordinates
 Lecture 8  Separation of variables method in spherical coordinates, Legendre polynomials
Green's functions, part III  Eigenfunction expansion for the Greens function  we did not go over this in lecture, but it provides some of the theoretical basis for why the separation of variables method works
 Lecture 9  Multipole expansion: monopole, dipole and quadrupole moments
 Lecture 10  Multipole expansion continued, magnetostatics, magnetic dipole approximation
 Lecture 11  Magnetostatic scalar potential, boundary conditions at a sheet current, examples
 Lecture 12  Symmetry under parity transformations, Macroscopic Maxwell's equations: dielectrics
 Lecture 13  Macroscopic Maxwell's equations: polarization density, electric dispacement field D, magnetic materials, paramagnetism and diamagnetism, bound currents
 Lecture 14  Macroscopic Maxwell's equations: magnetization density, H field, bound surface current, conservation of bound charge, boundary conditions
 Lecture 15  Linear Materials: electric and magnetic susceptibilities, dielectric constant, magnetic permeability, atomic polarizability and the ClausiusMossotti equation, boundary condition problems
 Lecture 16  Point charge in a dielectric sphere, bar magnets, electromagnetism and conservation of energy
 Lecture 17  Electromagnetic energy density, Poynting vector, conservation of momentum, Maxwell stress tensor, force on a conducting surface
 Lecture 18  Capacitance matrix, inductance matrix, electromagnetic waves in a vacuum
Supplement  Force, torque, and interaction energy for electric and magnetic dipoles in an external field  we did not go over this in lecture.
 Lecture 19  Energy and momentum in electromagntic waves, frequency dependent atomic polarizability, frequency dependent dielectric function
 Lecture 20  Electromagnetic waves in a dielectric: transparent propagation, resonant absorption, total reflection
 Lecture 21  Electromagnetic waves in conductors: frequency dependent conductivity, low frequency "good" conductors, skin depth, high frequencies, longitudinal modes and plasma oscillations
 Lecture 22  Linear, circular and elliptical polarization, waves at interfaces, angles of incidence, reflection and transmission
 Lecture 23  Snell's law for transparent and dissipative media, total internal reflection, coefficient of reflection
 Lecture 24 Total reflection, Brewster's angle, KramersKronig relation, Green's function for the wave equation
 Lecture 25  LienardWeichert potentials for a moving charged particle, potentials from a particle moving with constant velocity, radiation from a source oscillating with simple harmonic motion
 Lecture 26  Electric dipole, magnetic dipole, and electric quadrupole radiation; fields, Poynting vector and radiated power
 Lecture 27  Radiation from a general time dependent source, Larmor's formula for radiation from an accelerating charge, special relativity, Lorentz transformation, 4vectors
 Lecture 28  Proper time, 4velocity, 4gradient, 4current, 4potential, field strength tensor and Maxwell's equations
 Lecture 29  Energymomentum 4vector, Lorentz force, relativistic Larmor's formula

