(adsbygoogle = window.adsbygoogle || []).push({}); 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

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# Homework Help: Problem electromagnetic waves

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