Homework assignments:
You may collaborate on your HW, but not on
your exams.
However, you must list all references, collaborations, and other
sources, if any, for your HW solutions.
HW#1 Due 19
September.
Jackson 9.1, 9.14, 9.16, and 9.17, and also 9.6, and 9.12.
HW#2 Due 5 October.
In-class problem 1: For TM scattering from a perfectly
conducting cylinder, as discussed in class, compute the radial
component of the electric field and show that it does not contribute to
dσ/dφ.
In-class problem 2: Work out the electric and magnetic fields for
scattering from a perfectly conducting cylinder with incident
electric polarization parallel to the cylinder axis. Compute dσ/dφ and σ as series. Evaluate and
plot the dominant terms for dσ/dφ.
In-class problem 3: Resolve the apparent disparity between the
two series expressions for vector plane waves discussed in class.
That is to say, show the two expressions are equal!
In-class problem 4: Construct a table of differential
cross-sections for all the various incident and observed circular
polarizations for scattering due to a small dielectric sphere.
(Assume the sphere does not have an induced magnetic dipole moment.)
Jackson 10.1, 10.8, 10.12.
And finally, show the orthogonality of
spherical Bessel functions as given here.
HW#3 Due 31 October.
Jackson 14.2, 14.5, 14.6, 16.1, 16.2.
HW#4 Due 5 December.
Jackson 11.3, 11.5, 11.11, 11.12, 11.17, 11.18, 12.1, 12.16.
In-class problem 5: Assuming only a conserved,
symmetric, traceless energy-momentum tensor θμν, construct
all conserved rank 2 tensor currents of the form xα xβ
θμν with suitably chosen contractions of indices.
HW#5 Not to be graded.
Jackson 8.2, 8.5,
8.7, 8.9, 8.14, 8.17.