Geometrical approach to polarization optics. II, Quaternionic representation of polarized light

Geometrical approach to polarizatioo optics: II. Quaternionic representation of polarized light. Since the four-dimensional vector space of forms of light has a Minkowski space structure, and since pure dephasors form a group isomorphic to the Lorentz proper rotation group, it is possible to represent forms of light and polarization operators by complex quaternions, once chosen a reference basis on the vector space of polarization states. Changing this basis differently affects the representative quatemions of forms of light and polarization operators, but has a simple effect on diagonable operators