Stokes Parameters - Relation To The Polarization Ellipse

Relation To The Polarization Ellipse

In terms of the parameters of the polarization ellipse, the Stokes parameters are


\begin{matrix}
I_p & = & A^2 + B^2, \\
Q & = & (A^2-B^2)\cos(2\theta), \\
U & = & (A^2-B^2)\sin(2\theta), \\
V & = & 2ABh. \\
\end{matrix}

Inverting the previous equation gives


\begin{matrix}
A & = & \sqrt{\frac{1}{2}(I_p+|L|)} \\
B & = & \sqrt{\frac{1}{2}(I_p-|L|)} \\
\theta & = & \frac{1}{2}\arg(L)\\
h & = & \sgn(V). \\
\end{matrix}

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