Random groups in the optical waveguides theory

We propose a new approach to the mathematical description of light propagat ion in a single-mode ber light-guide (SMFLG) with random inhomogeneities. W e investigate statistics of complex amplitudes of the electric field of lig ht wave by methods of the random group theory. We have analyzed the behavio r of the coherence matrix of a monochromatic light wave and the polarizatio n degree of a nonmonochromatic radiation in SMFLG with random inhomogeneiti es as the length of the ber tends to infinity; in particular, we prove that limit polarization degree is equal to zero.