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:

    “Any relation to the land, the habit of tilling it, or mining it, or even hunting on it, generates the feeling of patriotism. He who keeps shop on it, or he who merely uses it as a support to his desk and ledger, or to his manufactory, values it less.”
    —Ralph Waldo Emerson (1803–1882)

    “In relation to God, we are like a thief who has burgled the house of a kindly householder and been allowed to keep some of the gold. From the point of view of the lawful owner this gold is a gift; From the point of view of the burglar it is a theft. He must go and give it back. It is the same with our existence. We have stolen a little of God’s being to make it ours. God has made us a gift of it. But we have stolen it. We must return it.”
    —Simone Weil (1909–1943)

    “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)

    “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)