Week of 10/22
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{{PDF|filename=10-24-07.pdf|title=10/24 Fourier integral}} | {{PDF|filename=10-24-07.pdf|title=10/24 Fourier integral}} | ||
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On Friday we do examples of Fourier Transforms. As you will see, one important application of FT is in computing diffraction patterns. Here is a nice animation of a wave-tank simulation showing the constructive and destructive interference of waves hitting a rectangular opening. | On Friday we do examples of Fourier Transforms. As you will see, one important application of FT is in computing diffraction patterns. Here is a nice animation of a wave-tank simulation showing the constructive and destructive interference of waves hitting a rectangular opening. | ||
[http://www.umsl.edu/~fraundorfp/p325/wslit.gif Wave-tank simulation of single-slit diffraction] | [http://www.umsl.edu/~fraundorfp/p325/wslit.gif Wave-tank simulation of single-slit diffraction] | ||
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+ | [http://en.wikipedia.org/wiki/Fraunhoffer_diffraction Wikipedia article on far-field (Fraunhoffer) diffraction] | ||
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+ | {{PDF|filename=10-26-07.pdf|title=10/26 Fourier transforms/diffraction}} |
Latest revision as of 15:16, 26 October 2007
Download 10/22 orthogonal projection onto functions |
Download 10/24 Fourier integral |
On Friday we do examples of Fourier Transforms. As you will see, one important application of FT is in computing diffraction patterns. Here is a nice animation of a wave-tank simulation showing the constructive and destructive interference of waves hitting a rectangular opening.
Wave-tank simulation of single-slit diffraction
Wikipedia article on far-field (Fraunhoffer) diffraction
Download 10/26 Fourier transforms/diffraction |