Superposition of waves

Discussion in 'Physics' started by boks, Dec 7, 2008.

  1. boks

    Thread Starter Active Member

    Oct 10, 2008
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    0
    [​IMG]

    Figure on top:
    P_{1}= (1/16)W, P_{2}=1W, P_{3}= 16W, and I want to calculate how the intensity varies with \theta

    y(r,t) = y_{2}(r,t)[1 + 4e^{i(\phi_{3} - \phi_{2} + kdsin \theta} + \frac{1}{4} e^{i(\phi_{1} - \phi_{2} - kd sin \theta)}]

    I understand how to proceed here, I just want to know how to determine whether it's + or - in front of \phis and kdsin \theta


    Bottom figure:

    P_{1}=P_{2}=P_{3} = 10W, same problem.

    y(r,t)=y_{1}(r,t)[1 + e^{i(\phi_{2} - \phi_{1} + kd cos \theta)} + e^{i(\phi_{3} - \phi_{1} + kd sin \theta)}]

    Is it just me, or is there an incoherence here, as how to determine the signs? Both are from exam solution manuals at my university, so it should be correct.
     
    Last edited: Dec 7, 2008
  2. boks

    Thread Starter Active Member

    Oct 10, 2008
    218
    0
    Anybody knows?
     
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