Volume 8, Issue 4, November 2001, Pages 491 - 517
Random Groups in the Optical Waveguides Theory
Authors
G.B. Malykin, V.I. Pozdnyakova, I.A. Shereshevskii
Corresponding Author
G.B. Malykin
Received 9 February 2001, Accepted 10 May 2001, Available Online 1 November 2001.
- DOI
- 10.2991/jnmp.2001.8.4.5How to use a DOI?
- Abstract
We propose a new approach to the mathematical description of light propagation in a single-mode fiber light-guide (SMFLG) with random inhomogeneities. We investgate 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - G.B. Malykin AU - V.I. Pozdnyakova AU - I.A. Shereshevskii PY - 2001 DA - 2001/11/01 TI - Random Groups in the Optical Waveguides Theory JO - Journal of Nonlinear Mathematical Physics SP - 491 EP - 517 VL - 8 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2001.8.4.5 DO - 10.2991/jnmp.2001.8.4.5 ID - Malykin2001 ER -