ElectrodynamicsI, Physics 831 (Wysin)
Kansas State University, Fall 2015.
Overview:
The course is intended for graduate students in physics who have
already had an introductory course in Electric and Magnetic Fields,
or Electrodynamics, at the level of texts like:
Introduction to Electrodynamics, by David J. Griffiths, PrenticeHall, Inc. (1999);
Classical Theory of Electromagnetism, by Baldassare Di Bartolo, PrenticeHall (1991).
Electromagnetic Fields and Waves, by Corson and Lorrain, W. H. Freeman and Co. (1970);
Foundations of Electromagnetic Theory, by Reitz and Milford, AddisonWeseley (1967);
The presentation here is at the graduate physics level. The student is expected
to have a fairly good grasp of many of the basic concepts in EM theory. In general,
the implications of Maxwell's equations for the electromagnetic field will be studied,
from electrostatics to magnetostatics to basic timedependence such as Faraday's law,
and properties of EM waves.
In addition to expanding the application of these concepts to more general problems,
a significant part of the course will involve the development of expertise in more
advanced mathematical techniques, including especially the always interesting Green's
functions, generating functions, Bessel functions, Legendre functions, and spherical
harmonics. A solid understanding of how to manipulate these gives you a much stronger
toolbox for confidence in analyzing a wider range of geometries and problems!
For more course information, including style of homework submission and
grading,
go here:
Fall 2015 Physics 831 Syllabus.
Prof. Gary M. Wysin, wysin@phys.ksu.edu.
Office hours: TU 11:0012:30, CW 309, 7855321628.
Copyright 2015 (Gary M. Wysin) as to this website contents, including the syllabus, exams,
problems and lecture notes.
Textbooks
The textbook for the course is the worldfamous, excellent, but
sometimes hardforstudentstoread book by J. D. Jackson:
Classical Electrodynamics, Third Edition, by John David Jackson,
John Wiley and Sons, (1998).
This is the book with the blue hardcover, where he changed to SI
(SystemInternational or meterkilogramsecondampere) units for the
first 10 chapters. The earlier editions from which I've based my notes
used the simpler CGS (cmgramsec) system, where electric and magnetic
fields have the same units. I've tried to incorporate both systems here,
using the Coulomb's Law electric coupling factor k=1 for CGS and
k=1/(4 π ε _{0}) for SI, noting the different definitions
of displacement field D in the two systems, and other unit factors for
the magnetic quantities, where appropriate.
Other Useful Textbooks
Some mathematical help for things like deltafunctions, Green functions,
etc., might be found in various MathMethods textbooks, like:
Mathematical Methods for Physicists, by George B. Arfken and
Hans J. Weber, Academic Press, Fourth Edition (1995).
Mathematics of Classical and Quantum Physics, by Frederick W. Byron
and Robert W. Fuller, AddisonWesley (1969).
Lecture Notes
Scanned images of my lecture notes. Sometimes there are too many
pages trying to explain the various steps in some simple arguments...
but, you can follow the presentation at the board with these.

I. Survey:
Domain and limitations of classical electrodynamics; CGS/SI units

CGS units: More on CGS vs. SI electric and magnetic units

Chapter 1:
Electric field, charge density, Dirac deltafunctions

Chapter 1:
Gauss' Law, potential, field energy

Chapter 1:
Poisson, Laplace eqs. and Green's functions approach

Chapter 2:
Surface charge density; Method of Images

Chapter 2:
Green function construction from image solutions

Chapter 2:
Conformal mapping solutions for 2D geometries

Chapter 2:
Laplace Eqn, in Cartesian coordinates; Orthogonal functions

Chapter 2:
Laplace Equation in 2D corners

Chapter 2:
Example of solving a 2D Poisson equation

First Exam, Chapters I, 1, 2. September 25.

2015 Exam 1, Chapters I, 1, 2,

2015 Exam 1 solution

Chapter 3:
Laplace Equation in Spherical coordinates

Chapter 3:
Electrostatic potential problems with azimuthal symmetry

Chapter 3:
Electrostatic potential problems lacking azimuthal symmetry

Chapter 3:
Laplace Equation in Cylindrical coordinates; Bessel functions

Chapter 3:
On finding Green's functions in 3D and using eigenfunction expansions

Chapter 4:
Multipoles, polarization, susceptibility, and dielectrics

Chapter 4:
Boundary value problems with dielectrics

Chapter 4:
Molecular polarizability; Dielectric electrostatic energy

Chapter 5:
Differences in CGS and SI units in Magnetism

Chapter 5:
Magnetic Induction B, Forces, BiotSavart Law and Ampere's Law
(CGS)

Chapter 5:
Magnetic moments; magnetic boundary conditions
(CGS)

Chapter 5:
Magnetic materials and boundary value problems
(CGS)

Chapter 5:
Magnetic Induction B, Forces, BiotSavart Law and Ampere's Law
(SI)

Chapter 5:
Magnetic moments; magnetic boundary conditions
(SI)

Chapter 5:
Magnetic materials and boundary value problems
(SI)

Chapter 5/6:
Coupling of E and B: Faraday's Law, Maxwell's displacement current

Second Exam, Chapters 3, 4, 5. November 6.

2015 Exam 2, Chapters 3, 4, 5,

2015 Exam 2 solution

Chapter 6:
Vector and scalar potentials

Chapter 6:
Green function for wave equation

Chapter 6:
Magnetic field energy; EM field energy and momentum conservation

Chapter 6:
Harmonic EM fields, energy conservation and EM device impedance.

Chapter 6:
Symmetries under orthogonal transformations

Chapter 6:
Dirac's arguments about magnetic monopoles
(CGS)

Chapter 7:
Plane electromagnetic wave propagation, energy, polarization

Chapter 7:
Reflection, refraction, total internal reflection at an interface

Chapter 7:
Propagation with dispersion, absorption, conductivity

Chapter 7:
Plane waves in conductors
(SI)

Chapter 7:
Plane waves in conductors
(CGS)

Chapter 7:
Causality and KramersKronig relations

Chapter 7:
Other comments on EM wave propagation

Chapter 8:
Field Properties and Boundary Conditions in Cylindrical Wave Guides
(SI)

Chapter 8:
Transverse ElectroMagnetic, TE and TM Modes in Cylindrical Wave Guides
(SI)

Chapter 8:
Modes in Resonant Cavities, Damping; Schumann Resonances of Earth
(SI)

Chapter 8:
Dielectric Wave Guides: Multimode Fiber Ray Optics
(SI)

Chapter 8:
Dielectric Wave Guides: SingleMode Fiber Wave Optics
(SI)

Chapter 8:
Generation of Modes in Waveguides and Cavities due to Sources
(SI)

Chapter 8:
Transverse Electric, Transverse Magnetic, TEM Modes in Cylindrical Wave Guides
(CGS)

Chapter 8:
Modes in Resonant Cavities
(CGS)

Chapter 8:
Damping of Modes in Waveguides and Cavities
(CGS)

Chapter 8:
Dielectric Wave Guides (Fiber Optics)
(CGS)

Chapter 8:
Generation of Modes in Waveguides and Cavities due to Sources
(CGS)

From Classical to Quantum ED:
Approaches to quantization of EM fields; photons
(CGS)

Quantization of the free electromagnetic field:
More details on photons and operators
(CGS)

Final Exam, Chapters 6 & 7. December 18, 2:003:50 p.m.

2015 Exam 3, Chapters 6 & 7

2015 Exam 3 solution
Exams from previous semesters

2014 Midterm Exam, Chapters I, 1, 2, 3, 4

2014 Midterm solution

2005 Midterm Exam, Chapters I, 1, 2, 3, 4

2005 Midterm solution

2014 Final Exam, Chapters 5, 6, 7

2014 Final Exam solution

2005 Final Exam, Chapters 5, 6, 7.

2005 Final Exam solution
Other Links At KSU
access since 2005/08/25.
Last update: Sunday December 20 2015.
email to >
wysin@phys.ksu.edu