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Slit for Fourier Transforms

• To: mathgroup at yoda.physics.unc.edu
• Subject: Slit for Fourier Transforms
• From: beau at vision.arc.nasa.gov (Andrew B. Watson)
• Date: Fri, 5 Nov 93 14:36:59 PST

 
> Hi there
> 
> I got some questions regarding the Fourier.m Pckage of Mma.
> 
> 1. How do I generate a function representing a slit as an apertures, so that
> Mma's FourierTransform is able to deal with it explicitly.
> 
  
> 		Andreas

Wouldn't the DiracDelta funtion work for a one-dimensional, 
infinitley narrow slit? If you want a slit of width w, centered at 0, try

slit[x_,w_] := UnitStep[x+w/2] - UnitStep[x-w/2]

Two-dimensional extensions should be obvious.

Andrew B. Watson
MS 262-2 NASA Ames Research Center
Moffett Field CA 94035-1000
(415) 604-5419 -3323 fax
beau at vision.arc.nasa.gov