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How to derive Intensity of light waves function I/Io

  1. Feb 24, 2010 #1
    1. The problem statement, all variables and given/known data

    How do you derive the following equation given I/Io= (I/N2)[(sinNØ/2)/(sinØ/2)]2

    given that Ø= (2πdsinΘ)/λ


    2. Relevant equations

    Ø= (2πdsinΘ)/λ

    d=λ/sinΘ


    3. The attempt at a solution

    I have tried substituting Ø into the equation as well as d=λ/sinΘ, but I always seem to make the equation equal to 1 or 0 and this really isn't what I'm looking for. Does this equation come from an amplitude equation using trig identities of some sort?
     
  2. jcsd
  3. Feb 24, 2010 #2
    What is I and what is I0?
     
  4. Feb 25, 2010 #3
    I/Io is the intensity ratio and N is equivalent to the number of slits where minimum N=2 but I'm stuck from there. I'm not sure where the sin form comes from. I'm thinking it may come from the equation I=cA^2 but I'm not sure.
     
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