Announcements 3/26/12 Prayer Pearls Before Swine.

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Presentation transcript:

Announcements 3/26/12 Prayer Pearls Before Swine

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

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

Fourier Transform in cylindrical coords.

Bessel function handout

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

More on orthogonality

More on orthogonality

More on orthogonality What happens if n = m?

Diffraction from circular aperture

Plots

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

Sample exam problem

Rectangle & Circle, side-by-side

Array of Circles