Some applications of the vectorial pure operatorial Pauli algebraic approach in polarization optics

The action of a dichroic device on the partially polarized light is analyzed in the frame of the vectorial pure operatorial (non-matrix) Pauli algebraic approach we have introduced in some previous papers. This paper exploits the two basic results of this approach: the equation of the gain and that of the Poincaré vector of the state of polarization of the emergent light. On the one hand, the notions of gain contrast and that of the degree of dichroism are introduced and, on this basis, some simple, symmetric and insightful expressions of the gain and of the generalized Malus’ law are obtained. On the other hand, the equation of the ellipsoid in which a Poincaré sphere of a given degree of polarization is mapped by a dichroic device is established.