- #1
Petar Mali
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Homework Statement
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.
Homework Equations
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?