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Homework Help: Em waves in complex

  1. Nov 18, 2012 #1
    1. The problem statement, all variables and given/known data

    Moving in negative x-axis: E1 = E sin(wt + kx)
    Moving in right axis: E2 = Esin(wt-kx-θ) moving to right

    write complex representation


    3. The attempt at a solution

    E1= E Im(exp[i*(wt+kx)])
    E2= E Im(exp[i*(wt-kx-θ)])

    are these correct or do I have to take into account the -i^ for moving to left in E1?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 18, 2012 #2

    haruspex

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    As I understand it, the advantage of writing the wave function in complex form is that a single complex constant encapsulates both the amplitude and the phase. So you should get equations without a separate constant for phase. See e.g. http://farside.ph.utexas.edu/teaching/315/Waves/node72.html
     
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