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The Kirchhoff diffraction formula with small wavelength

  1. Apr 18, 2017 #1
    1. The problem statement, all variables and given/known data
    The fresnel-kirchhoff diffraction formula could explain diffraction,I think it should also produce the result with relatively small wavelength and large width slit in which case there is no diffraction.
    2. Relevant equations

    3. The attempt at a solution
    when ##\lambda##(wavelength) is very small,the ##U(P)## would very large and seems not equal to ##\frac{ae^ir_{P_0P}}{r_{P_0P}}##
    Last edited: Apr 18, 2017
  2. jcsd
  3. Apr 19, 2017 #2

    Charles Link

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    One suggestion would be to try it for an observation point that is directly on axis, and use a circular aperture so that the diffraction equations are readily workable. I do expect the diffraction equations for small wavelength and large aperture would give very nearly a shadow when using a single point source on one side of the aperture, but the equations are cumbersome enough, that it might be somewhat difficult to show for the general case.
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