Random groups in the optical waveguides theory
Abstract
We propose a new approach to the mathematical description of light propagation in a singlemode fiber lightguide (SMFLG) with random inhomogeneities. We investigate statistics of complex amplitudes of the electric field of light wave by methods of the random group theory. We have analyzed the behavior of the coherence matrix of a monochromatic light wave and the polarization degree of a nonmonochromatic radiation in SMFLG with random inhomogeneities as the length of the fiber tends to infinity; in particular, we prove that limit polarization degree is equal to zero.
 Publication:

arXiv eprints
 Pub Date:
 September 2002
 DOI:
 10.48550/arXiv.mathph/0209054
 arXiv:
 arXiv:mathph/0209054
 Bibcode:
 2002math.ph...9054M
 Keywords:

 Mathematical Physics;
 Group Theory
 EPrint:
 arXiv version is already official