Authors: Jesus Delso Lapuerta
The hermitian polarization matrix is written, using the Pauli matrices and the identity matrix as a basis, with four real coefficients, the four Stokes vector parameters; the interaction of light with matter is described as the modification of these 4 parameters by a 4x4 matrix, the Mueller matrix. Pauli matrices form a Clifford algebra, the projection operators R and L define the two Stokes vectors for right-handed and left-handed circularly polarized light. In four dimensions, the Minkowski metric ηµν = diag(+1, −1, −1, −1) leads to the Clifford algebra C(1,3) Dirac matrices, the 16 Dirac matrices form a basis for the polarization matrix, now with 16 Stokes parameters the interaction of light with matter is described by a 16x16 Mueller matrix, the projection operators R and L in this algebra define the right-handed and left-handed circularly polarized light.
Comments: 4 Pages. It would fit better in Optics-Polarimetry
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[v1] 2020-11-30 19:57:40
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