Week of 10/22

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{{PDF|filename=Orthogonal_projection.pdf|title=10/22 orthogonal projection onto functions}}
 
{{PDF|filename=Orthogonal_projection.pdf|title=10/22 orthogonal projection onto functions}}
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{{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.
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[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

Pdf.png Download 10/22 orthogonal projection onto functions


Pdf.png 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


Pdf.png Download 10/26 Fourier transforms/diffraction
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