Syllabus
Special Topic ST:PHY6938 Electrodynamics III
Credits: 3(3,0). TuTh 9-10:15 a.m. BA1 O212
Prof: Robert E. Peale, PS423, Robert.peale@ucf.edu
Office hours: Tu, Th 10:30-11:30.
Prerequisites: PHY5346 Electrodynamics I and PHY6347 Electrodynamics II
Course Description: Advanced topics in propagation and radiation of electromagnetic
waves, electro- and magneto-statics, ferromagnetism.
Goals and objectives: Learn theory of and develop problem solving tools for classical
relativistic (non-quantum) electrodynamics of particles, conductors, and dielectrics.
Topics covered in this graduate elective will be those missed in the prerequisite core
courses EDI & II.
Required texts: L.D. Landau and E.M. Lifshitz, Classical Theory of Fields, 4th revised
edition & L.D. Landau, E.M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of
Continuous Media, 2nd edition.
Course calendar:
First month: Geometrical optics, intensity, the angular eikonal, narrow bundles of rays,
image formation with broad bundles of rays, the limits of geometrical optics, diffraction,
Fresnel diffraction, Fraunhofer diffraction. Exam 1.
Second month: Dipole radiation during collisions, radiation of low frequency in
collisions, radiation in the case of Coulomb interaction, Quadrupole and magnetic dipole
radiation, the field of the radiation at near distances, radiation from a rapidly moving
charge, synchrotron radiation, radiation damping, radiation damping in the relativistic
case, spectral resolution of the radiation in the ultra-relativistic case, scattering by free
charges, scattering of low-frequency waves, scattering of high-frequency waves. Exam
2.
Third month: A conducting ellipsoid, a dielectric ellipsoid, the permittivity of a mixture,
electrostriction of isotropic dielectrics, dielectric properties of crystals, the sign of the
dielectric susceptibility, electric forces in solids, piezo-electrics, thermodynamic
inequalities, ferroelectrics. The contact potential, the galvanic cell, electro-capillarity,
thermoelectric phenomena. Exam 3.
Fourth month: Ferromagnetism and anti-ferromagnetism. Magneto-hydrodynamics.
Propagation of electromagnetic waves in inhomogeneous medium, reciprocity principle,
electromagnetic oscillations in hollow resonators, The propagation of electromagnetic
waves in waveguides, the scattering of electromagnetic waves by small particles, the
absorption of electromagnetic waves by small particles, diffraction by a wedge,
diffraction by a plane screen. Final exam.
Course assignments (assignments and exams): Homework will be assigned
individually in rotation through the class, with solutions to be presented by the
responsible student during class. There will be four evenly spaced exams, including the
final, based on homework assignments.
Methods of evaluation: Homework presentations will be graded and will count for 36%
of the final grade. Exams count for 16% of the final grade each. + and – grades will be
given. The final course grade will be available on myucf.
PHYSICS DEPT MISSED WORK POLICY: Making up missed work is permitted only for
UCF-sanctioned activities and bona fide medical or family reasons. Authentic justifying
documentation must be provided in every case (in advance for UCF-sanctioned activities). The
form of the make-up will be determined by the instructor.
Date
Section
(vol. 2)
Aug 25
Aug 27
Sep 1
Sep 3
Sep 8
Sep 10
Sep 15
Sep 17
Sep 22
Sep 24
Sep 29
Oct 1
Oct 6
Oct 8
Subject
52
53
54
55
56
57
58
59
60
61
Characteristic vibrations of the field
Geometrical optics
Intensity
The angular eikonal
Narrow bundles of rays
Image formation with broad bundles of rays
The limits of geometrical optics
Diffraction
Fresnel diffraction
Fraunhofer diffraction
Exam 1
64
65
68
69
70
71
72
73
74
75
76
Spectral resolution of the retarded potentials
The Lagrangian to terms of second order
Dipole radiation during collisions
Radiation of low frequency in collisions
Radiation in the case of Coulomb interaction
Quadrupole and magnetic dipole radiation
The field of the radiation at near distances
Radiation from a rapidly moving charge
Synchrotron radiation (magnetic bremsstrahlung)
Radiation damping
Scattering by free charges
Exam 2
4
8
9
12
13
A conducting ellipsoid
A dielectric ellipsoid
The permittivity of a mixture
Electrostriction of isotropic dielectrics
Dielectric properties of crystals
(vol. 8)
Oct 13
Oct 15
Oct 20
Oct 22
Oct 27
Oct 29
Nov 3
Nov 5
Nov 10
Nov 17
Nov 19
Nov 24
Nov 26
Dec 1
Dec 3
Dec 10
14
23
24
37
38
39
The sign of the dielectric susceptibility.
The contact potential
The galvanic cell
Magnetic symmetry of crystals
Magnetic classes and space groups
Ferromagnets near the Curie point
Exam 3
64
79
81
85
87
88
89
No class
90
91
92
93
7-9:50 a.m.
Excitation of currents by acceleration
The dispersion of the magnetic permeability
The stress tensor in dispersive media
Geometrical optics
The surface impedance of metals
Propagation of waves in an inhomogeneous medium
The reciprocity principle
Thanksgiving
Electromagnetic oscillations in hollow resonators
The propagation of electromagnetic waves in waveguides
The scattering of electromagnetic waves by small particles
Absorption of electromagnetic waves by small particles
Exam 4 (Final exam)