Stochastic aspects of the unified polarization calculus

Recently, the authors developed the deterministic aspects of a formalism for polarization optics. This formalism, called the unified polarization calculus, uses the Stokes-Mueller equation and the Lorentz group provide a conceptual framework and a systematic method to model and understand birefringence and dichroism in optical media. In this paper, we explore the stochastic aspects of the calculus.