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Homework Help: Optics, Superposition of waves

  1. Mar 17, 2013 #1
    1. The problem statement, all variables and given/known data
    Using expansion of sin and cos functions, show that the resultant of adding the following two waves:
    a) E1 = E01*sin(wt-k(x+Δx))
    b) E2 = E01*sin(wt-kx)

    Gives: E = 2E01*cos((1/2)kΔx)*sin[wt-k(x+Δx/2)]

    2. Relevant equations
    N/A


    3. The attempt at a solution

    I don't know how to sum the two waves using superposition. I don't understand how to get to the final solution. Please help.
     
  2. jcsd
  3. Mar 17, 2013 #2

    TSny

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  4. Mar 18, 2013 #3
    yes that worked! thank you very much
     
  5. Mar 18, 2013 #4

    TSny

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    Good work!
     
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