Electrodynamics-I, Physics 831 (Wysin)
Kansas State University, Fall 2005.
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, Prentice-Hall, Inc. (1999);
Classical Theory of Electromagnetism, by Baldassare Di Bartolo, Prentice-Hall (1991).
Electromagnetic Fields and Waves, by Corson and Lorrain, W. H. Freeman and Co. (1970);
Foundations of Electromagnetic Theory, by Reitz and Milford, Addison-Weseley (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 time-dependence such as Farady'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 2005 Physics 831 Syllabus.
Prof. Gary M. Wysin, wysin@phys.ksu.edu.
Office hours: MW, 1:00 -- 2:30, CW 309, 785-532-1628.
Textbooks
The textbook for the course is the world-famous, excellent, but
sometimes hard-for-students-to-read 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
(System-International or meter-kilogram-second-ampere) units for the
first 10 chapters. The earlier editions from which I've based my notes
used the simpler CGS (cm-gram-sec) system, where electric and magnetic
fields have the same units. I've tried to incorporate both systems here,
using the electric coupling factor "k=1" for CGS and
"k=1/(4 π ε0)" 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 delta-functions, Green functions,
etc., might be found in various Math-Methods 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, Addison-Wesley (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 delta-functions
-
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 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
-
Chapters I, 1,2, 3, 4:
Midterm Exam, October 17 (pdf)
-
Midterm solution (pdf)
-
Chapter 5:
Differences in CGS and SI units in Magnetism
-
Chapter 5:
Magnetic Induction B, Forces, Biot-Savart 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, Biot-Savart 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
-
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)
-
From Classical to Quantum ED:
Approaches to quantization of EM fields; photons
(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 Kramers-Kronig relations
-
Chapter 7:
Other comments on EM wave propagation
-
Chapters 5, 6, 7:
Final Exam, December 12, 4:10 -- 6:00 p.m.
-
Final Exam solution (pdf)
Other Links At KSU
[Error Creating Counter File]
access since 2006/02/09.
Last update: Wednesday February 22 2006.
email to -->
wysin@phys.ksu.edu