Instructor: Konstantin
K. Likharev
E-mail: klikharev@notes.cc.sunysb.edu
Office:
B-135
Phone: 2-8159
Office hours: Thu 2:00 to 5:00 pm
Grader:
Tin Yau Pang
E-mail:
vvoorr@gmail.com
Office:
C-118
Office
hours: Wed 1:00 to 2:00 pm (or by e-mail appointment)
Basic textbook: J. D. Jackson, Classical
Electrodynamics, 3rd ed. (Wiley, 1999)
Also recommended: L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th
ed. (Pergamon, 1975)
L.
D. Landau and E. M. Lifshitz, Electrodynamics
of Continuous Media, 2nd ed. (Reed, 1984)
Lectures: Approximately 40 lectures per semester
Time:
Mon-Wed-Fri 10:40-11:35 am; first lecture: Monday January 28
Room:
P-117
Homeworks: Weekly
(with just a few exceptions); submission due in 9 days after the assignment;
model solutions published online 7 days after that
Late
submission penalty: 10% a day (besides weekends)
Exams: One midterm (March 28,
lecture time) and a final (May 19, 8:00 – 10:30 am), all in the lecture room.
All
exams: books open
Grade components: Homeworks: 25%
Midterm:
25%
Final
exam: 50%
(with
lecture notes in the pdf format)
PHY 505 (Fall 2007):
1. Static Charges in Vacuum (lecture notes)
Charges in
vacuum: the Coulomb Law, electric field. The Gauss Law in integral and differential
forms. Electrostatic potential, the Poisson and Laplace
equations. Energy of an arbitrary charge distribution.
2. Charges and Conductors in
Vacuum (lecture notes)
Conductors: the Debye
and Thomas-Fermi lengths, macroscopic boundary conditions. Self-
and mutual capacitances, capacitance matrix, energy of an arbitrary system of
conductors. Methods of solution of the Laplace and Poisson equations:
orthogonal coordinates and conformal mapping, variable separation (for
rectangular, cylindrical, and spherical coordinates), images (plane and
sphere), Green's functions, finite difference methods, finite element methods
(the idea only).
3. Electrostatics of
Dielectrics (lecture notes)
Multipole expansion, dipole field. Systems
of many dipoles, vectors E, P, and D. Dielectrics, ferroelectrics, and paraelectrics. Boundary problems with linear dielectrics. The Clausius-Mossotti (Lorentz-Lorenz) formula. Electrostatic energy of systems with dielectrics.
4. DC Current (lecture
notes)
DC current: the
continuity equation, the Kirchhoff laws. Physics of metallic
conductivity, the Drude and Drude-Sommerfeld models, their relation. The field equation and boundary conditions. The potential distribution hierarchy.
5. Magnetostatics (lecture notes)
The Biot-Savart
and Ampere laws, magnetic field, vector potential. Field of
thin wires, self- and mutual inductances, inductance matrix, magnetic field
energy. The multipole expansion, field and energy of a
magnetic dipole. Magnetization of a media, vectors B, M, and H. Magnetics: dia- , para- and
ferromagnetism, superconductivity (in the ideal diamagnetic approximation). The
boundary conditions, scalar potential of magnetic field. The
“magnetic Ohm law”, magnetic resistance, magnetic “charges” in thin hard
magnets.
6. Time-Dependent Phenomena and
the Maxwell Equations (lecture notes)
Electromagnetic
induction: the Faraday law, the quasi-stationary approximation, the skin
effect. The quantum picture of superconductivity, the
Aharonov-Bohm effect. Displacement currents, the
Maxwell hypothesis. The Maxwell equations for fields
and potentials. Energy and power flow in electromagnetic field, the
Pointing vector.
PHY 506 (Spring 2008):
7. Plane Waves in Uniform Media
(lecture notes)
Plane waves in
vacuum: the wave (Helmholtz) equation, transverse EM waves, their velocity,
impedance, polarization, and power. Plane waves in media: the dispersion
relation, phase and group velocity. The simplest mechanisms
of dispersion, normal and anomal dispersion, plasma frequency, the effect of
Ohmic conductivity, the generalized Drude formula, the Kramers-Kronig
relations.
8. Waves in Restricted Media (lecture notes, with parts of Sec. 5 and 6 still in a crude form)
Reflection and
refraction: the Brewster angle, total internal reflection. Metallic waveguides:
TEM waves, speed, impedance, power, and impedance matching. TE
and TM waves, dispersion relations, cutoff frequency. Dielectric
waveguides, optical fibers. Resonators, the
Fabry-Pérot resonator, metallic cavities. Losses,
attenuation, the Q factor.
9. Radiation, Scattering, Interference, and Diffraction (lecture
notes, still in a crude form)
Retarded potentials. Radiation by nonrelativistic charges:
the multipole expansion, spherical waves, dipole radiation, the Larmore
formula, short antenna, magnetic-dipole and electric-quadrupole radiation.
Scattering: the Born approximation, the high-frequency
and low-frequency limits, random scatterers, the Rayleigh formula. Scattering by a few identical objects and by extended bodies, the
structure factor. Interference and diffraction.
The Huygens principle, the Kirchhoff theorem, the Fraunhofer and Fresnel
diffraction limits. The diffraction grating as a Fourier
transformer. The Babinet principle.
10. Special Relativity (lecture notes in a crude form)
The experimental
background of the special relativity, the Einstein postulates, the Lorentz
transform. Kinematics: length contraction, time dilation, velocity transformation,
the Doppler effect. 4-vectors,
scalar product and norm, 4-velocity. Particle dynamics: relativistic
action for a free particle, momentum and energy, 4-momentum. Covariant
and contravariant 4-vectors and 4-tensors, the metric tensor. The Maxwell
equations in the 4-form: 4-vectors of the current and potential, field tensors,
field transformation. Dynamics in the EM field: the dynamics equation, motion
in uniform E and B fields. Analytical mechanics of particles in EM field: Lagrangian
and Hamiltonian functions, the canonic momentum, adiabatic invariants.
Analytical mechanics of the EM field: the Lagrangian and Hamiltonian, field
strength tensor.
11. Radiation by Relativistic
Charges (lecture notes – in a crude form )
The Liénard-Wiechert potentials, their application to the uniform
motion and linear acceleration. Synchrotron radiation: total power,
angular distribution, temporal and spectral distribution. Collision energy
losses: the Bohr and the Bethe formulas (results only), the Fermi theory of
density effects. The Cherenkov radiation: physics, intensity and the angular
dependence. Bremsstralung: the low-frequency approximation, other cases (a
discussion only). Transition radiation (the idea only).
Problems of the classical electrodynamics of point charges: radiation losses,
the Abraham-Lorentz force, the 4/3 challenge in the field mass problem.
(in the pdf
format)
PHY 505 (Fall 2007):
PHY 506 (Spring 2008):
Americans
with Disabilities Act:
If you have a physical, psychological, medical
or learning disability that may impact your course work, please contact
Disability Support Services, ECC (
Academic
Integrity:
Each student must pursue his or her academic
goals honestly and be personally accountable for all submitted work.
Representing another person's work as your own is always wrong. Faculty are
required to report and suspected instances of academic dishonesty to the
Academic Judiciary. For more comprehensive information on academic integrity,
including categories of academic dishonesty, please refer to the academic
judiciary website at http://www.stonybrook.edu/uaa/academicjudiciary/
.
Critical
Incident Management: