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Homework Help: Please help with optics question

  1. Dec 4, 2004 #1
    Imagine that you have an opaque screen with three horizontal very narrow parallel slits in it. The second is a center-to-center distance a beneath the first, and the third is a distance 5a/2 beneath the first. (a)Write a complex exponential expression in terms of δ for the amplitude of the electric field at some point P at an elevation θ on a distant screen where δ=ka sinθ. Prove that I(θ) = I(0)/3 + 2I(0)/9 (cos δ + cos 3δ/2 + cos 5δ/2)
    Verify that at θ=0, I(θ)=I(0)

    I think i got the first part (a) right for the exponential expression.
    E=Eo Re[e^i(α-wt) (1+e^-iδ +e^i3δ/2)]

    But my problem is that i don't know how to prove this Intensity equation.

    So any help would be greatly appreciated... :frown:
    Last edited: Dec 5, 2004
  2. jcsd
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