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Doublw slit experoment and fourier transform

  1. Mar 27, 2013 #1
    is the interference pattern produced by a double slit a one dimensional phase/amplitude Fourier transform?
    and if you did a reverse Fourier transform on it would you get an image of the two slits?
     
  2. jcsd
  3. Mar 27, 2013 #2

    sophiecentaur

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    Basically, yes.
    FT is frequently used in XRay crystallography to help find the structure of a complicated scatterer from its diffraction pattern.
     
  4. Mar 27, 2013 #3
    Maybe. Since the transformation deals with frequencies, though, you would need to plug it in to another equation to get the image.
     
  5. Mar 28, 2013 #4

    Claude Bile

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    Yes, the (scalar) interference pattern is the Fourier transform of the aperture function (transmission as a function of position). A reverse Fourier transform would indeed retrieve the aperture function - this is the principle behind Fourier optics.

    Claude.
     
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