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Derivative of Axial Resolution from Rayleigh's Limit

  1. Nov 30, 2015 #1
    I am currently studying optical microscope and discover that the axial resolution is limited as r(z) = 2pi / (NA)^2.
    However, while I got hints that it is due to the Rayleigh's limit, I can't derivative the equation using numerical method.
    It would be huge thanks if anyone can help me on the solution.
  2. jcsd
  3. Dec 1, 2015 #2

    Andy Resnick

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    Born and Wolf derive this in section 8.8 (7th edition). My hint is that you are evaluating the diffraction integral on-axis.
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