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Two diffraction gratings one on top of the other

  1. Sep 8, 2012 #1
    1. The problem statement, all variables and given/known data

    Two diffraction gratings are stuck together, both with vertically aligned slits. Grating A has S1 slits and B has S2 slits.
    What is the new equivalent grating that is the product of two of the diffraction gratings above?

    (s1>s2>>>1)

    2. Relevant equations

    a. N* = 1/d



    3. The attempt at a solution

    Assuming that there are ajacent slits in both - I tried to think of a way that it will make sense.
    If s1>s2 , s1 should be a multiple of s2, but I couldn't figure out a way to come to the new grating equivalent.
     
  2. jcsd
  3. Sep 9, 2012 #2

    TSny

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    Suppose d1 and d2 are the distances between consecutive slits for the gratings. What if the ratio of d2/d1 happens to reduce to 3/2? What would be the answer to the question? How about if the ratio reduces to 5/3?
     
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