(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The polarization of a light wave is described by two complex parameters.

[itex]\lambda[/itex] = cos[itex]\Theta[/itex]e^(i[itex]\delta[/itex]x)

[itex]\mu[/itex] = sin[itex]\Theta[/itex]e^(i[itex]\delta[/itex]y)

Satisfying |[itex]\lambda[/itex]|^2 + |[itex]\mu[/itex]|^2 = 1

More explicitly, the electric field is

Ex(t)=Eocos[itex]\Theta[/itex]cos([itex]\omega/itex]t-[itex]\delta[/itex]x)

Ey(t)=Eosin[itex]\Theta[/itex]cos([itex]\omega/itex]t-[itex]\delta[/itex]y)

Determine the axes of the ellipse traced by the tip of the electric field vector and the direction in which it is traced.

2. Relevant equations

3. The attempt at a solution

I've tried to create new axis which the ellipse falls on x' and y' and is at an angle of alpha from the original coordinates. It leaves a nasty equation with a lot of variables. Talking to my professor he briefly went over ten pages of work where he lost me around page two and even in the end said he knew his answer was not correct. Any help to ease this problem?

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# Determination of the polarization of a light wave

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