Completely and partially polarized light, Jones 4-spinor, Stokes vector and tensor

Abstract

In the present paper, starting with the Lorentz group theory, we introduce the concept of 4-dimensional Jones spinor, first for a completely polarized light. To such Jones bispinor, there correspond isotropic Stokes 4-vector, and antisymmetric Stokes tensor, the last is equivalent to isotropic complex 3-vector. This approach is extended to the partially polarized light as well. We introduce corresponding 4-spinor of Jones type and 4-vector and antisymmetric tensor of Stokes types.