PHYS 408, Optics
Problem Set 5 - Spring 2015
Posted: Mon, February 2, 2015 Due: Tuesday, February 10, 2015, 5PM.
1. Back in the late 90s, any idea involving optics and telecom networks got money
from VCs. Most all of these companies failed or morphed into

PHYS 408, Optics
Problem Set 6 - Spring 2015
Posted: Thursday, February 26, 2015 Due: Thursday, March 5, 2015, 5PM.
1. Consider the Gaussian field profile
E(x, y, z = 0) = E0 e
0
2
.
(1)
Use the Fourier transform to derive the form of E(x, y, z) and check

PHYS 408, Optics
Problem Set 4 - Spring 2015
Posted: Mon, January 26, 2015 Due: Mon, February 2, 2015, 5PM.
1. Consider a Mach-Zehnder interferometer with a gas cell of length 10cm
in one arm as shown. The input light is = 200nm.
The cell is initially eva

PHYS 408, Optics
Problem Set 10 - Spring 2015
Posted: Thursday, March 26, 2015 Due: Thursday, April 2, 2015, 5PM.
1. Given the following complex electric field
E = E0 (3
xei/2 + 2
y )eikz
(1)
Write down the Jones vector and sketch the spatial dependent el

PHYS 408, Optics
Problem Set 9 Solutions- Spring 2015
Posted: Thursday, March 19, 2015 Due: Thursday, March 26, 2015, 5PM.
1. Previously, we looked at the simple case of a planar resonator. Often times one
must deal with spherical-mirror cavities. Conside

PHYS 408, Optics
Problem Set 7 Solutions- Spring 2015
Posted: Thursday, March 5, 2015 Due: Thursday, March 12, 2015, 5PM.
1. Here we will examine the far-field (Fraunhofer) diffraction patterns of a couple
apertures.
(a) Assume a plane wave is normally in

PHYS 408, Optics
Problem Set 2 Solutions - Spring 2015
Posted: Mon, January 12, 2015 Due: Mon, January 19, 2015, 5PM.
1. Consider a scalar wave emitted from a point source at the origin (in vacuum)
with wavelength of 6 cm where the complex amplitude is gi

PHYS 408, Optics
Problem Set 3 - Spring 2015
Posted: Mon, January 19, 2015 Due: Mon, January 26, 2015, 5PM.
1. (a) Derive the Paraxial Helmholtz Equation
2T A(~r) + i2k
A(~r)
=0
z
(1)
from the Helmholtz Equation
2 U (~r) + k 2 U (~r) = 0
(2)
Justify each

PHYS 408, Optics
Problem Set 1 Solutions- Spring 2015
Posted: Mon, January 5, 2015 Due: Mon, January 12, 2015, 5PM.
1. An electric field in a simple, linear dielectric has the wave equation,
1 2
E 2 2 E = 0.
c t
(1)
E(r, t) = E0 cos(kx t + 0 )
z,
(2)
2
L