1. Announcements 2/3/12
Prayer

2. Reading Quiz P&W’s treatment of multilayers used:
summing infinite reflections
boundary conditions from Maxwell’s equations

3. Reading Quiz
The symbol used for the matrix for the inner layers, that was multiplied over and over, was: H I L M Q

4. Three layer problem, revisited
Using matrices!

5. Extension to N layers
(or N+2, depending on how you want to count)

6. What is R? (as a function of l)
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)

7. 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)

8. Dielectric Mirrors/Filters

9. Dielectric Mirrors/Filters
Notch Filter
Long Pass Filter
Short Pass Filter

10. Reading Quiz
To get high reflectivity in a multilayer stack, each layer should have thickness: l
l/2
l/4
l/6
l/(# layers)
Fig. 4.16