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:

    “Unaware of the absurdity of it, we introduce our own petty household rules into the economy of the universe for which the life of generations, peoples, of entire planets, has no importance in relation to the general development.”
    —Alexander Herzen (1812–1870)

    “Whoever has a keen eye for profits, is blind in relation to his craft.”
    —Sophocles (497–406/5 B.C.)

    “Our sympathy is cold to the relation of distant misery.”
    —Edward Gibbon (1737–1794)

    “The ellipse is as aimless as that,
    Stretching invisibly into the future so as to reappear
    In our present. Its flexing is its account,
    Return to the point of no return.”
    —John Ashbery (b. 1927)