Judge last week: “Pi is not copyrightable”

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Presentation transcript:

Judge last week: “Pi is not copyrightable” Announcements 3/21/12 Prayer Foxtrot Judge last week: “Pi is not copyrightable”

Reading Quiz The _________ approximation is a special case of the _________ approximation: Fraunhofer; Fresnel Fresnel; Fraunhofer

Reading Quiz The Fraunhofer approximation describes what happens in the: “far field” “near field”

Reading Quiz The Fraunhofer diffraction pattern from a rectangular aperture involves: Bessel functions sinc functions

Fraunhofer Approximation

Fraunhofer as 2D Fourier Transform

Narrow slit formula

Rectangular slit formula

Square slit plots Square slit: Zooming in…

Rectangular slit plots y Rectangular slit: y width = 2 x-width Zoomed in… x Thought question: Which way is x and which way is y? x y a. b. y x

Rectangular slit to the extreme Rectangular slit: y width = 25 x-width Guesses?

Double slit (via convolution theorem) plotted for separation = 4 slit width