Re: Help relating 2-D Fourier Transforms to optics, diffraction, photography for math class project

From
http://www.stsci.edu/stsci/meetings/irw/proceedings/reddingd.dir/section3_2.html

"Ideal image formation can be modeled as the convolution of the true
brightness distribution of the object with the telescope point spread
function. The PSF is the spatial frequency impulse response of the
telescope, which is to say, the image of an ideal point source such as
a star. An approximate model of the PSF can be computed as the Fourier
transform of the field in the exit pupil of the telescope. For
unaberrated, unobscured telescopes, this pupil function consists of a
spherical wavefront centered on the detector, with uniform intensity
within the geometrically-defined circular aperture. The resulting PSF
has the well-known form of the Airy pattern."

This helps, actually. A little. Brightness distribution convoluted with
PSF.

.

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