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:

    “Only in a house where one has learnt to be lonely does one have this solicitude for things. One’s relation to them, the daily seeing or touching, begins to become love, and to lay one open to pain.”
    —Elizabeth Bowen (1899–1973)

    “The adolescent does not develop her identity and individuality by moving outside her family. She is not triggered by some magic unconscious dynamic whereby she rejects her family in favour of her peers or of a larger society.... She continues to develop in relation to her parents. Her mother continues to have more influence over her than either her father or her friends.”
    —Terri Apter (20th century)

    “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)

    “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)