Journal of Nonlinear Mathematical Physics

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 4
Pages
491 - 517
Publication Date
2001/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.4.5How to use a DOI?
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  -