1. Announcements 3/26/12
Prayer
Pearls Before Swine

2. Reading Quiz
Bessel functions are used in diffraction cases of ________ symmetry.
square
rectangular
cylindrical
spherical

3. Reading Quiz The function J0(x) crosses zero at p, 2p , 3p, etc. true
false

4. Fourier Transform in cylindrical coords.

5. Bessel function handout

6. More on orthogonality
rescale: 0 to 1
rescale: 0 to 1

7. More on orthogonality

8. More on orthogonality

9. More on orthogonality
What happens if n = m?

10. Diffraction from circular aperture

11. Plots

12. Plots This is called the “Airy pattern”.
The central maximum is called the “Airy disk”.
The surrounding maxima are called “Airy rings”

13. Sample exam problem

14. Rectangle & Circle, side-by-side

15. Array of Circles