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PHY 415: Electromagnetic Theory I
Prof. S. Teitel stte@pas.rochester.edu  Fall 2017
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, Coulomb's 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, BiotSavart law, current density, charge conservation and the definition of magnetostatics, Maxwell's equations for magnetostatics, Faraday's Law
 Lecture 3  Maxwell's correction to Ampere's Law, EM waves, systems of units, scalar and vector potentials, gauge invariance, Lorentz gauge
 Lecture 4  Coulomb gauge, longitudinal and transverse parts of a vector function, review of Fourier transforms, physical meaning of the electrostatic potential, Green's function
 Lecture 5  Conductors in electrostatics, Coulomb problem as a boundary value problem, electric field at a charged surface, Dirichlet vs Neumann boundary condition, examples, Green's identities
 Lecture 6  Uniquness of solutions to the Dirichlet and Neumann boundary value problem, Greens functions for Dirichlet and Neumann boundary conditions, the image charge method for a charge in front of an infinite grounded plane and in front of a grounded conducting sphere
 Lecture 7  Charge in front of a charged conducting sphere, separation of variables method in rectangular and polar coordinates
 Lecture 8  Electric field at a sharp edge, separation of variables in spherical coordinates, Legendre polynomials
 Lecture 9  Examples of problems with azimuthal symmetry.
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 10  Electrostatic multipole expansion, monopole, dipole, quadrupole moments
 Lecture 11  Electric quadrupole example, magnetostatic multipole expansion, magnetic dipole approximation
 Lecture 12  Magnetic dipole for a flat planar loop, magnetostatic scalar potential, boundary conditions at a sheet current, examples
 Lecture 13  Symmetry under parity transformations, vectors and psuedovectors, macroscopic Maxwell's equations, dielectrics, polarization density, electric displacement vector D
 Lecture 14  Bound surface charge density, magnetization density and bound current, the magnetic field H, conservation of bound charge
 Lecture 15  Bound surface current, vanishing of total bound charge and bound current, boundary conditions, linear materials, electric and magnetic susceptibilities, dielectric constant, magnetic permeability, atomic polarizability and the ClausiusMossotti equation
 Lecture 16  Screening of free charge, examples, a point charge in a dielectric sphere
 Lecture 17  Bar magnets, electromagnetism and conservation of energy, electromagnetic energy density, Poynting vector, conservation of momentum
 Lecture 18  Maxwell stress tensor, force on a conducting surface,capacitance matrix, inductance matrix
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  Electromagnetic waves in a vacuum, energy and momentum in electromagntic waves, frequency dependent atomic polarizability
 Lecture 20  Complex frequency dependent dielectric function, electromagnetic waves in a dielectric, dispersion relation, phase velocity, group velocity, normal and anomalous dispersion
 Lecture 21  Electromagnetic waves in a dielectric: transparent propagation, resonant absorption, total reflection, electromagnetic waves in conductors: frequency dependent conductivity
 Lecture 22  Electromagnetic waves in conductors: low frequency "good" conductors, skin depth, high frequencies, longitudinal modes and plasma oscillations; polarization of transverse waves
 Lecture 23  Linear, circular and elliptical polarization, waves at interfaces, angles of incidence, reflection and transmission, Snell's law, total internal reflection
 Lecture 24  Snell's law for dissipative media, coefficient of reflection, total reflection, Brewster's angle
 Lecture 25  KramersKronig relation, Green's function for the wave equation, LienardWeichert potentials for a moving charged particle
 Lecture 26  Potentials from a point charged particle moving with constant velocity, radiation from a source oscillating with simple harmonic motion, electric dipole, magnetic dipole, and electric quadrupole radiation
 Lecture 27  Radiated E and B fields, Poynting vector, and radiated power from an oscillating source in the electric dipole, magnetic dipole, and electric quadrupole approximations
 Lecture 28  Radiation from a general time dependent source, Larmor's formula for radiation from an accelerating charge, special relativity, Lorentz transformation, 4vectors, proper time, 4velocity, 4gradient
 Lecture 29  4current, 4potential, field strength tensor and Maxwell's equations, energymomentum 4vector, Lorentz force, relativistic Larmor's formula

