PHYS 7231 - Homework #1. Due Jan. 28, 2016.
1. Prove the following vector identities (boldface means vector)
(a) (f g) = g ( f ) f ( g),
(b) (f g) = f g + g f ,
(c) (f g) = f g + g f
2. Let A(r) = A0 eikr , and A0 is a constant vector. Compute
PHYS 7231 - Homework #3. Due Feb. 18, 2016.
1. A thin ring of radius R consists of two uniformly and oppositely charged semi-circles with charges q and q.
Find the electrostatic potential, and the electric field close to the axis of the ring. Compare the
PHYS 7231 - Homework #2. Due Feb. 4, 2016.
1. The space between two concentric spheres with radii R1 and R2 (R1 < R2 ) has charge density = /r2 , where
r is the distance from the center of the spheres.
(a) Find total charge.
(b) Compute the electrostatic
PHYS 7231 - Homework #4. Due Feb. 25, 2016.
1. A point charge q is located at the point with spherical coordinates (r0 , 0 , 0 ). Find the multipole expansion for
the potential of this charge.
2. A charge distribution (r) does not depend on the coordinate
EE7200 Nanophotonics Lecture 1
*These notes were originally prepared by Profs. Shanhui Fan and
Mark Brongersma from Stanford University and Prof. Vladimir
Shalaev from Purdue University. Their help is highly appreciated.