Transcription of 17. Jones Matrices & Mueller Matrices
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17. Jones Matrices & Mueller Matrices
17. Jones Matrices & Mueller MatricesJones MatricesRotation of coordinates - the rotation matrixStokes Parameters and unpolarized lightMueller MatricesR. Clark Jones (1916 - 2004)Sir George G. Stokes(1819 - 1903)Hans Mueller (1900 - 1965)2211 xxxyyxyxyEEEEEEEEEED efine the polarization state of a field as a 2D vector Jones vector containing the two complex amplitudes: Jones vectors describe the polarization state of a waveA few examples: 0 linear (x) polarization: Ey/Ex = 0linear (arbitrary angle) polarization: Ey/Ex= tan right or left circular polarization: Ey/Ex= j10 1tan 1j (normalized to length of unity)To model the effect of a medium on light'spolarization state, we use Jones A11101201210220xxyyxyEaEaEEaEaE This yields:1000x AFor example, an x-polarizer can be written:0010010000xxxyEEEEE ASo.
Mueller Matrices multiply Stokes vectors To model the effects of more than one medium on the polarization state, just multiply the input polarization Stokes vector by all of the Mueller matrices: S out = M 3 M 2 M 1 S in (just like Jones matrices multiplying Jones vectors, except that the vectors have four elements instead of two) S in S out M ...
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