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}

Read more about this topic:  Stokes Parameters

Famous quotes containing the words relation to the, relation to, relation and/or ellipse:

    You see, I am alive, I am alive
    I stand in good relation to the earth
    I stand in good relation to the gods
    I stand in good relation to all that is beautiful
    I stand in good relation to the daughter of Tsen-tainte
    You see, I am alive, I am alive
    N. Scott Momaday (b. 1934)

    Concord is just as idiotic as ever in relation to the spirits and their knockings. Most people here believe in a spiritual world ... in spirits which the very bullfrogs in our meadows would blackball. Their evil genius is seeing how low it can degrade them. The hooting of owls, the croaking of frogs, is celestial wisdom in comparison.
    Henry David Thoreau (1817–1862)

    You know there are no secrets in America. It’s quite different in England, where people think of a secret as a shared relation between two people.
    —W.H. (Wystan Hugh)

    Mankind is not a circle with a single center but an ellipse with two focal points of which facts are one and ideas the other.
    Victor Hugo (1802–1885)