Announcements 2/3/12

Prayer
Reading Quiz

P&W’s treatment of multilayers used:
a. summing infinite reflections
b. boundary conditions from Maxwell’s
equations
Reading Quiz

The symbol used for the matrix for the inner
layers, that was multiplied over and over,
was:
a. H
b. I
c. L
d. M
e. Q
Three layer problem, revisited

Using matrices!
Extension to N layers

(or N+2, depending on how you want to
count)
Example 1
normal
incidence
air,
n=1
n=2 n=1.5 n=2
n=1.5
1 mm 1 mm 1 mm
What is R? (as a function of l)
Example 2
normal
incidence
air,
n=1
n=2 n=1.5 n=2
n=1.5
1 mm 1 mm 1 mm
10
What is R? (as a function of l)
Dielectric Mirrors/Filters
Dielectric Mirrors/Filters
Notch Filter
Long Pass Filter
Short Pass Filter
Reading Quiz

To get high reflectivity in a multilayer stack,
each layer should have thickness:
a. l
b. l/2
c. l/4
d. l/6
e. l/(# layers)
Fig. 4.16