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## Main Question or Discussion Point

What describes Airy equation in theoretical description of light diffraction?

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What describes Airy equation in theoretical description of light diffraction?

Claude Bile

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http://en.wikipedia.org/wiki/Airy_disc

Claude.

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Writing more precisly. I would like to see derivation from (for instance) wave equation to get Airy equation in a light diffraction problem.

Claude Bile

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To do this, define an aperture function in cylindrical coordinates as follows;

a(r) = 1 for r less than or equal to a.

a(r) = 0 for r greater than a.

Where a is the radius of the aperture.

The resultant diffraction pattern is a 2D Fourier transform of this function (i.e. the Airy function). I'm sure you can find the gory details of this calculation somewhere (or maybe post in the math forums).

Claude.

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