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Homework Help: Problem electromagnetic waves

  1. Sep 4, 2010 #1
    1. The problem statement, all variables and given/known data

    Two monocromatic waves is given by

    [tex]\vec{E_1}=\vec{E}_{01}cos(\vec{k}\cdot\vec{r}-\omega t+\alpha_1)[/tex] and

    [tex]\vec{E_2}=\vec{E}_{02}cos(\vec{k}\cdot\vec{r}-\omega t+\alpha_1)[/tex]

    are linearly polarized along two normal directions. Taking that waves have equal amplitude, find polarisation of resultant of this two waves.



    2. Relevant equations



    3. The attempt at a solution

    I suppose that I must try with

    [tex]\vec{E_1}=Re\{\vec{E}_{01}e^{i(\vec{k}\cdot \vec{r}-\omega t+\alpha_1)}\}[/tex]

    [tex]\vec{E_2}=Re\{\vec{E}_{02}e^{i(\vec{k}\cdot \vec{r}-\omega t+\alpha_2)}\}[/tex]

    [tex]\vec{E}=Re\{(\vec{E}_{01}+\vec{E}_{02}e^{i\xi})e^{i(\vec{k}\cdot\vec{r}-\omega t+\alpha_1)}\}[/tex]

    where [tex]\xi=\alpha_2-\alpha_1[/tex]. What now?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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