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Diffraction: rectangular aperture and gaussian beam

  1. Dec 3, 2009 #1
    Is the Fresnel-Kirchhoff formula (FKF) valid also for gaussian beams? I a book starting from the gaussian intensity:
    [tex]U_0(x,y)=\sqrt{\frac{2}{\pi\omega_0^2}}\exp\left(-\frac{t^2+s^2}{\omega_0^2}\right)[/tex]
    it said that using the FKF in free space the gaussian beam spreads (in far-field assumption). It concludes that the field can be expressed with a standard Gaussian distribution but with complex exponential rather than real. How can be it proved?
    Now my question is: what happen if there is a diffraction through rectangular aperture to this gaussian beam? What is the correct theory to use in far-field assumption?
     
  2. jcsd
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