Open AccessAutocorrelation function of channel matrix in few-mode fibers with strong mode coupling
Author(s) -
Qian Hu,
William Shieh
Publication year - 2013
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.022153
Subject(s) - autocorrelation matrix , autocorrelation , matrix (chemical analysis) , channel (broadcasting) , mode coupling , physics , coupling (piping) , mode (computer interface) , optics , mathematical analysis , mathematics , statistical physics , telecommunications , materials science , computer science , statistics , metallurgy , composite material , operating system
Channel matrix plays a critical role in receiver design and ultimate channel performance. To fully describe the channel matrix of a few-mode fiber (FMF), we choose the generalized high-dimensional Gell-Mann matrices, an equivalent of the 2-dimensional Pauli matrices used for a single-mode fiber (SMF), as the basis for the channel matrix decomposition. The frequency dependence of channel matrix can be studied in terms of the autocorrelation function (ACF), showing how fast channel changes in frequency domain. In this paper, we derive a canonical stochastic differential equation (SDE) for the FMF channel matrix in the regime of strong coupling. With the SDE, we develop an analytical form for the ACF of FMF channel matrix, from which the channel correlation bandwidth is obtained.