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PHYS 415: Electromagnetic Theory I
Prof. S. Teitel: stte@pas.rochester.edu ---- Fall 2024

Notes

On the Calendar page you will see, for each lecture, approximately where in the notes you should have read up to.

• Unit 1 - Review of Maxwell's Equations
  • Notes 1-1 - Electrostatics
    
  • Notes 1-2 - Magnetostatics
    
  • Notes 1-3 - Faraday's Law and Maxwell's Correction to Ampere's Law, Systems of Units
    
  • Notes 1-3-supp - Faraday's Law Revisited: Motional emf and special relativity
    
  • Notes 1-4 - Electromagnetic Potentials and Gauge Invariance
    
  • Notes 1-5 - Review of Fourier Transforms
    
  • Notes 1-5-supp - Review of Fourier Series and derivation of Fourier Transforms
    
  • Notes 1-supp - Review of Vector Calculus and Math Methods: surface and line integrals; rectangular, spherical and cylindrical coordinates; vector differential operators and their expression in different coordinate systems; integral vector calculus: Gauss' Theorem and Stoke's Theorem; the Dirac delta function

• Unit 2 - Electrostatics and Magnetostatics
  • Notes 2-1 - Electrostatics as a boundary value problem
    
  • Notes 2-1-supp - Supplemental: Green's identities, uniqueness, Green's functions for Dirichlet and Neumann boundary conditions
    
  • Notes 2-2 - The image charge method
    
  • Notes 2-3 - The method of separation of variables
    
  • Notes 2-3-supp - Supplemental: Eigenfunction expansion for the Green's function
    
  • Notes 2-4 - The electric multipole expansion
    
  • Notes 2-4-supp - Another example
    
  • Notes 2-5 - Magnetostatics
    
  • Notes 2-6 - Symmetry
    

• Unit 3 - Macroscopic Maxwell's Equations in Matter
  • Notes 3-1 - Dielectric materials: Polarization density, electric displacement field D, bound charge
    
  • Notes 3-2 - Magnetic materials: Magnetization density, magnetic field H, bound currents
    
  • Notes 3-3 - The Macroscopic Maxwell Equations
    
  • Notes 3-4 - Linear materials, Clausius-Mossotti equation, behavior at interfaces, examples
    
  • Notes 3-4-supp - An example: a magnetizable sphere in a uniform magnetic field
    
  • Notes 3-5 - A charge off-center inside a dielectric sphere
    
  • Notes 3-6 - Bar magnets
    

• Unit 4 - Electromagnetic Energy and Momentum
  • Notes 4-1 - Electromagnetic energy density and the Poynting vector
    
  • Notes 4-2 - Electromagnetic momentum density, the Maxwell stress tensor, and the force on a conductor's surface
    
  • Notes 4-2-supp - Magnetic monopoles, electromagnetic angular momentum, and the quantization of electric charge
    
  • Notes 4-3 - Capacitance and Inductance
    
  • Notes 4-3-supp - Supplemental: Forces, Torques, and Interaction Energy of Electric and Magnetic Dipoles
    
  • Notes 4-4 - Energy and momentum of an electromagnetic wave in a vacuum
    

• Unit 5 - Electromagnetic Waves in Dielectrics and Conductors, Polarization, Interfaces
  • Notes 5-1 - Electromagnetic wave propagation in dielectrics, frequency dependent atomic polarizability
    
  • Notes 5-2 - Transparent propagation, resonant absorption, total reflection
    
  • Notes 5-3 - Electromagnetic wave propagation in conductors, frequency dependent conductivity
    
  • Notes 5-4 - Linear, circular, and elliptical polarization of electromagnetic waves
    
  • Notes 5-5 - Reflection and transmission of electromagnetic waves at interfaces
    
  • Notes 5-5-supp - Supplemental: Total internal reflection revisited
    
  • Notes 5-6 - The Kramers-Kronig relation
    

• Unit 6 - Radiation and Fields from Moving Charges
  • Notes 6-1 - Green's function for the wave equation, the Lienard-Wiechert potentials
    
  • Notes 6-2 - Radiation by a localized harmonically oscillating source
    
  • Notes 6-3 - Radiation in the electric dipole approximation
    
  • Notes 6-3-supp - Radiation in the electric dipole approximation - Beyond the Radiation Zone Approximation
    
  • Notes 6-4 - Radiation in the magnetic dipole and electric quadrupole approximations
    
  • Notes 6-5 - Radiation from arbitrarily time varying sources and Larmor's formula
    

• Unit 7 - Maxwell's Equations and Special Relativity
  • Notes 7-1 - Review of special relativity and the Lorentz transformation, 4-vectors and proper time
    
  • Notes 7-2 - Maxwell's equations in relativistic form
    
  • Notes 7-3 - Relativistic kinematics, relativistic momentum and energy, the Lorentz force
    
  • Notes 7-4 - The Relativistic Larmor's formula
    
  • Notes 7-5 - The relativistic form for the Maxwell stress tensor, energy and momentum conservation
    
  • Notes 7-6 - Poincare stresses and the 4/3 problem