1. Announcements 3/28/12 Prayer Exam review problems for sign-up
Calvin & Hobbes

2. Reading Quiz
A lens placed after a diffraction aperture causes the Fraunhofer pattern to be produced:
before the focal length
at the focal length
after the focal length (but at a finite distance)
at infinity

3. Lenses

4. “Fourier transform plane”
Lenses
What it object is not at infinity?
What appears at q?
What appears at f?
Object at f: f
“Fourier transform plane”

5. Lens Fourier Transforms
at focus of lens
From Hecht

6. “Fourier Transform smoothing”
Before
After
From Hecht

7. Reading Quiz What does the “Rayleigh criterion” tell us?
The angle at which both light polarizations have equal reflection coefficients
The angle at which p-polarized light has minimum reflection
The angular separation resolvable by an imaging system
The number of orders produced by a diffraction grating

8. Reading Quiz
The Rayleigh criterion for resolving two point light sources comes from:
Fourier transforms of delta functions.
Jinc functions’ maxima and minima.
Lagrange multipliers.
Parallax of stars.

9. Simple Telescope

10. Circular Aperture, again

11. What do you get in this situation?
board with hole
patterns at focus
superimposed
pattern at focus
pattern at infinity f
What if there’s a lens in the hole?
What if there isn’t a board?
What if you have two light sources?

12. Rayleigh: 2nd peak at position of first minimum

13. Rayleigh Criterion plotted vs (krb/f), = qD/l
Curve is (J1(x)/x)2
plotted vs (krb/f), = qD/l
(using sinq  q)
Mathematica “FindRoot” command: q/l = …
(= first zero of J1(x))
Rayleigh Criterion