Instructor: Konstantin
K. Likharev
E-mail: klikharev@notes.cc.sunysb.edu
Office:
Room B-135
Office hours: Thursday 1:00 to 2:30 pm
Grader: Sujan Dabholkar
E-mail:
dsujan@gmail.com
Office: Room D-118
Office
hours: Monday 3:00 to 5:00 pm
Web site: http://mysbfiles.stonybrook.edu/~klikharev/505-506/F10-S11/
Recommended
textbooks: J. D. Jackson, Classical
Electrodynamics, 3rd ed. , Wiley, 1999
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: Time: Monday-Wednesday-Friday 10:40-11:35 am
Room:
P-130
Homeworks: Weekly
(with just a few exceptions); submission delay penalty: 10% per day
Exams: Midterm: Friday
March 18, lecture time
Final: Wednesday May 18, 11:15 am – 1:45 pm
(Review
session Tuesday May 17, 5:00 – 7:00 pm, Rm. B-131)
Both
exams: lecture room, books open
Final grade components: Homeworks: 15%
Midterm:
25%
Final
exam: 60%
1. Electric Charge Interaction Lecture
notes
The Coulomb Law, electric field. The Gauss Law. Electrostatic potential,
the Poisson and Laplace equations. Energy of an
arbitrary charge distribution.
2. Charges and Conductors Lecture notes
Electric field
screening, 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:
special coordinates, conformal mapping, images (plane and sphere), Green's
functions, variable separation (for rectangular, cylindrical, and spherical
coordinates), numerical methods.
3. Polarization of Dielectrics Lecture
notes
Multipole
expansion, dipole field and its energy. Dielectrics: physics of electric
polarization, vector fields E, P, and D. The potential equation, boundary conditions, methods of
solution. The Clausius-Mossotti (Lorentz-Lorenz) formula.
Electric field energy in dielectrics.
4. DC Current Lecture notes
Continuity equation,
the Ohm law, boundary conditions for current distribution, the “conductivity
hierarchy”, power dissipation.
5. Magnetostatics Lecture notes
The Ampere law, magnetic field,
vector potential, scalar potential. Field of thin wires,
self- and mutual inductances, inductance matrix, magnetic field energy. The multipole expansion, field and energy of a magnetic dipole.
Magnetics: physics, vector fields B,
M, and H. The potential equation and boundary
conditions, methods of solution. Ferromagnetism: physics, soft and hard
magnetics. Electrodynamics of superconductivity: physics, the
6. Toward the Maxwell Equations Lecture
notes
Electromagnetic induction: the
Faraday law, the quasi-stationary approximation, the skin effect. The Josephson
and AB effects. Displacement currents, the Maxwell hypothesis. The Maxwell
equations for fields and potentials, energy and power flow of electromagnetic
field, the Pointing theorem.
7. Electromagnetic Wave Propagation Lecture
notes
Plane waves in free space: the wave
equation, transverse EM waves, their velocity, impedance, polarization, and
energy. Plane waves in media: the dispersion relation, phase and group
velocity. The simplest mechanisms of dispersion, plasma frequency, the
Kramers-Kronig relations. Reflection at
normal incidence. Reflection vs. refraction: the Brewster angle, total internal
reflection, the Fabry-Pérot resonator.
Metallic waveguides, optical fibers. Resonators. Power losses:
attenuation and the Q factor.
8. Radiation, Scattering, Interference, and Diffraction Lecture notes
Retarded potentials. Electric dipole
radiation, the Larmore formula, short antennas. Scattering: the Born
approximation, blue sky. Interference and diffraction. The Huygens principle,
the Kirchhoff theorem. Diffraction in the Fraunhofer and Fresnel diffraction
limits. Diffraction grating as a spatial Fourier transform. Magnetic-dipole and
electric-quadrupole radiation.
9. Special Relativity Lecture notes
Kinematics: the situation by 1905,
Einstein postulates, the Lorentz transform. Length contraction, time dilation,
the Doppler effect, speed transformation, relativistic momentum and energy.
4-vectors and tensors: definition, invariance, covariance and contravariance,
scalar product, the metric tensor.
Maxwell equations in the 4-form: 4-vectors of the current and potential,
field tensors, field transformation. Field of a uniformly moving charge. Dynamics in the EM field: the dynamics
equation, motion in uniform E and B fields. Action and energy, adiabatic
invariants. Particle motion in nonuniform magnetic fields. Analytical mechanics
of the EM field.
10. Radiation by Relativistic Charges Lecture
notes
The
Liénard-Wiechert potentials, their application to the uniform motion and linear
acceleration. Synchrotron radiation: total power, angular distribution,
time and frequency distribution. Bremsstrahlung: low-frequency approximation,
finite frequencies, the Coulomb collision case, quantum corrections (the result
only). Collision energy losses: the Bohr formula, the Bethe formula (the result
only), the Fermi theory of density effects. The Cherenkov radiation: physics,
spatial dependence, time and frequency structure. Transition radiation (the
idea only). Radiation’s back-action: radiation damping, the Abraham-Lorentz
force, field mass, internal contradictions of classical electrodynamics.
Lecture Note
Appendices:
Selected Mathematical Formulas
PHY 505:
Optional problems Set 1 with solutions
Optional problems Set 2 with solutions
PHY 506:
Optional problems Set 1 with
solutions
Optional problems Set 2 with
solutions
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