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Relationship between electric field components: ellipse

  1. Feb 18, 2014 #1
    1. The problem statement, all variables and given/known data
    Given an electric field:

    E=Ex*ex+Ey*ey

    with

    Ex=cos(kx-wt)
    Ey=cos(kx-wt+e)

    where e is the phase difference

    Show that

    Ex^2 + Ey^2 - 2*Ex*Ey*cos(e) = ( sin(e) )^2


    2. Relevant equations

    Ex=cos(kx-wt)
    Ey=cos(kx-wt+e)

    3. The attempt at a solution

    Was unable to find a solution with trigonometric relations
     
  2. jcsd
  3. Feb 18, 2014 #2

    vela

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    That equation can't possibly be true. The units on the two sides don't match.
     
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