
Home
Contact Info
Course Info
Calendar
Homework
Lecture Notes




PHY 415: Electromagnetic Theory I
Prof. S. Teitel stte@pas.rochester.edu  Fall 2010
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
 Lecture 3  Faraday's Law, Maxwell's correction to Ampere's Law, systems of units, scalar and vector potentials, gauge invariance, Lorentz gauge
 Lecture 4  Coulomb gauge, longitudinal and transverse parts of a vector function, review Fourier transforms, physical meaning of the electrostatic potential, Green's function
 Lecture 5  Coulomb problem as a boundary value problem, properties of conductors in electrostatics, electric field at a charged surface, Dirichlet vs Neumann boundary condition, examples, Green's identities and uniqueness
Green's functions, part II Greens function for Dirichlet and Neumann boundary conditions  we did 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
 Lecture 9  Separation of variables method in spherical coordinates continued, multipole expansion
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  Multipole expansion continued
 Lecture 11  Magnetostatics: multipole expansion and the magnetic dipole moment
 Lecture 12  Magnetostatic scalar potential, boundary conditions at a sheet current, examples, symmetry under parity transformations
 Lecture 13  Macroscopic Maxwell's equations: dielectrics, polarization density, displacement field D
 Lecture 14  Macroscopic Maxwell's equations: magnetic materials, paramagnetism and diamagnetism, magnetization density, H vs B
 Lecture 15  Macroscopic Maxwell's equations: bound surface current, conservation of bound charge, boundary conditions
 Lecture 16  Linear Materials: electric and magnetic susceptibilities, dielectric constant, magnetic permeability, atomic polarizability and the ClausiusMossotti equation, boundary condition problems, bar magnets
 Lecture 17  Electromagnetic energy density, Poynting vector, conservation of energy
 Lecture 18  Conservation of momentum, 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, frequency dependent atomic polarizability
 Lecture 20  Electromagnetic waves in a dielectric, frequency dependent dielectric function, phase and group velocity, attenuation, transparent propagation
 Lecture 21  Electromagnetic waves in a dielectric continued: resonant absorption, total reflection; waves in conductors: frequency dependent conductivity, low frequency "good" conductors, skin depth
 Lecture 22  Electromagnetic waves in conductors continued: high frequencies, plasma oscillations, linear, ellipitcal and circular polarization
 Lecture 23  Reflection and transmission of waves at interfaces, Snell's law and its analog for a dissipative material, total internal reflection
 Lecture 24  Reflection of electromagnetic waves at an interface, total reflection, Brewster's angle, KramersKronig relation
 Lecture 25  Green's function for the wave equation, LienardWeichert potentials for a moving charged particle, potentials from a particle moving with constant velocity
 Lecture 26  Radiation from a source oscillating with simple harmonic motion, electric dipoie, magnetic dipole, electric quadrupole radiation
 Lecture 27  Poynting vector and radiated power, radiation from arbitrary sources, Larmor's formula
 Lecture 28  Special relativity, Lorentz transformation, 4vectors, 4current, 4potential
 Lecture 29  Field strength tensor and Maxwell's equations, energymomentum 4vector, Lorentz force, relativistic Larmor's formula

