Optical eects in solids
Midterm, October 2011
Instructions: This is an open-book, take-home exam. You may use any book, reference,
journal article, web site, as well as your class notes. You may not get help from others,
neither those taking the class nor
Optical eects in solids
Problem set 6. Due Wednesday December 7, 2011.
10 points each.
1. Consider the optical properties of a metal lm which is like Swiss cheese; it contains
a number (of order 1% by volume) of small, spherical bubbles. Treat the metal a
Optical eects in solids
Problem set 5. Due Monday November 28, 2011.
20 points each.
1. Excitons are often discussed (as was done in class) using a Bohr model. Let the reduced
mass be = 0.05m and the dielectric medium have = 12.8, values appropriate for
G
Optical eects in solids
Problem set 4. Due Wednesday, November 9, 2011.
1. Show by carrying out an integration by parts that the Kramers-Kronig integrals for the
reectance may be written
( ) = A
0
1 dR ( )
ln
R ( ) d
[ + ]
| |
d
Determine A. Discuss the
Optical eects in solids
Problem set 3. Due Wednesday, October 19, 2011.
1. In 1871, Sellmeier proposed that the refractive index of an insulator in regions where it
is transparent is given by:
Aj 2
n2 = 1 +
2 2
j
j
where is the wavelength and Aj and j are
Optical eects in solids
Problem set 2a. Due Wednesday, Sept 28, 2011.
1. Show that the optical conductivity of a Lorentz oscillator at the line center (e ) does
not depend on the value of e .
2. (From Fox) Consider the Lorentz oscillator with zero damping
Optical eects in solids
Problem set 1. Due Wednesday, Sept 14, 2011. (On account of travel, a longer lead
time than in the future.)
1. Here are a few short problems from Fox:
a. The complex dielectric function of CdTe (at a wavelength of 500 nm) is = 8.92