PHY 6347 Spring 2013 Homework #1, Due Wednesday, January 16 1. Before there was cable, before TV broadcast became digital, a television set often had two forms of antenna, a pair of straight pieces of wire ("rabbit ears"), for VHF ("very high frequency")
PHY 6347 Spring 2014
Homework #5, Due Monday, March 31
1. A uniform, solid dielectric sphere of radius a scatters unpolarized incident radiation with
wavelength large compared to a. The sphere has permittivity = 0 , permeability = 0 ,
and conductivity suc
PHY 6347 Spring 2016
Homework #1, Due Wednesday, January 20
1. On dimensional grounds the dispersion relation for deep water surface waves is of the form
2 = gk, where g is the surface acceleration of gravity (with a possible dimensionless factor
that wi
PHY 6347 Spring 2016
Homework #8, Due Wednesday, April 20
1. An observer
O whose frame of reference has coordinates x = (t, x) records the
u
x
motion of an object which she measures to have 3-velocity = d /dt and 3-acceleration
= d2 /dt2 .
is moving wit
PHY 6347 Spring 2016
Homework #3, Due Monday, February 8
1. Meridional rays of propagate in an optical fiber with a central core of index of refraction
n1 embedded in a cladding of index of refraction n0 < n1 . A ray at small enough initial angle
0 is tot
PHY 6347 Spring 2016
Homework #5, Due Monday, March 7
1. A certain oscillating source produces a quadrupole tensor
00
Qij = Q0 0
0
0
i
1
1
i
0
1
A.
(a) Compute the electric field amplitude and the angular distribution of power radiated.
(b) What
Xlm mode
PHY 6347 Spring 2016
Homework #7, Due Monday, April 11
1. A plane wave E0 = E0 0 eik0 x is incident from z < 0 on an opaque screen that blocks
the entire plane z = 0 except for the opening 12 a < x < 12 a, 12 b < y < 21 b.
(a) Compute the polarization-pro
PHY 6347 Spring 2016
Homework #4, Due Monday, February 22
1. An end-driven full-wave thin linear antenna of length d has current distribution I =
I0 sin kz, with kd = 2 ( d/2 < z < d/2).
(a) Compute the fields and power radiated per solid angle in the rad
PHY 6347 Spring 2016
Homework #6, Due Monday, March 21
1. A classic problem (see Jacksons problem 10.5 at the end of Chapter 10) involves scattering
from a conducting sphere of radius a, with real permittivity = 0 , permeability = 0 ,
and conductivity , s
PHY 6347 Spring 2014
Homework #6, Due Monday, April 7
1. To construct a more elegant (?) proof of Jacksons expression (10.89):
(a) First, prove a vector version of Greens Theorem, for any two vector elds
d3 x [
V
( (
=
S
)
d2 a [
( (
(
and
,
)]
)
PHY 6347 Spring 2014
Homework #1, Due Wednesday, January 22
1. A plane wave with frequency is normally incident on a stack of dielectric slabs with
thickness di and index of refraction ni . Both left- and right-moving waves appear; the electric
eld within
PHY 6347 Spring 2014
Homework #4, Due Monday, March 10
1. Compute the angular distribution
(a)
=i
4
5
2,2 +
=i
4
5
2,2
= 2i
d
2 for
2,2
(c )
2,2
(b)
2 and the integral
4
5
2,2
(d) What quadrupole matrix Qij corresponds to each of these angular distributio
PHY 6347 Spring 2013 Homework #1, Due Wednesday, January 21 1. Before there was cable, before TV broadcast became digital, a television set often had two forms of antenna, a pair of straight pieces of wire ("rabbit ears"), for VHF ("very high frequency")
PHY 6347 Spring 2013 Homework #2, Due Wednesday, January 23 1. A linearly polarized electromagnetic plane wave with frequency is normally incident from vacuum (z < 0) onto an excellent conductor with real permittivity c = 0 , permeability c = 0 , and cond
PHY 6347 Spring 2014
Homework #2, Due Monday, February 3
1. Geometrical optics can be formulated in terms of Fermats principle, which states that a
light ray between two points follows the path that gives the minimum travel time at speed
v = c/n.
(a) Show
PHY 6347 Spring 2014
Homework #1, Due Wednesday, January 22
1. A plane wave with frequency is normally incident on a stack of dielectric slabs with
thickness di and index of refraction ni . Both left- and right-moving waves appear; the electric
eld within
PHY 6347 Spring 2014
Midterm Exam
Name:
This exam is open book but closed notes. Calculators are permitted (but not necessary). If
you have questions about the questions, please feel free to ask me.
1. An antenna consists of a conducting sphere of radius
PHY 6347 Spring 2014
Homework #3, Due Monday, February 24
1. The directions of the real and imaginary parts of the electric dipole moment of an
oscillating charge distribution dene a plane, and if we take this to be the x-y plane the
general electric dipo
PHY 6347 Spring 2014
Homework #2, Due Monday, February 3
1. Geometrical optics can be formulated in terms of Fermats principle, which states that a
light ray between two points follows the path that gives the minimum travel time at speed
v = c/n.
(a) Show
PHY 6347 Spring 2014
Homework #3, Due Monday, February 24
1. The directions of the real and imaginary parts of the electric dipole moment of an
oscillating charge distribution dene a plane, and if we take this to be the x-y plane the
general electric dipo
PHY 6347 Spring 2016
Homework #2, Due Monday, January 25
1. A lossy material with permeability = 0 has permittivity /0 = 1 + i2 .
(a) The index of refraction n2 = /0 is then also complex, n = n1 + in2 . Find n1 and n2 in
terms of 1 and 2 .
(b) Silver has