Diffraction of light

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Main Question or Discussion Point

What describes Airy equation in theoretical description of light diffraction?
 

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Claude Bile
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Thank you for your response. I've read this article. But there are no answers for my question.

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
Science Advisor
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To find a diffraction pattern for a given aperture, you need to apply the theory of Fraunhofer diffraction.

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.
 
10
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Thank you for your response. I can see that the problem is to get Airy equation from the two dimensional Fourier integral equation. If I have some time I will try to follow the way.
 

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