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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 19 — Sep. 23, 2013
  • pp: 22153–22165

Autocorrelation function of channel matrix in few-mode fibers with strong mode coupling

Qian Hu and William Shieh  »View Author Affiliations

Optics Express, Vol. 21, Issue 19, pp. 22153-22165 (2013)

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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.

© 2013 OSA

OCIS Codes
(060.1660) Fiber optics and optical communications : Coherent communications
(060.2330) Fiber optics and optical communications : Fiber optics communications

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: June 18, 2013
Revised Manuscript: August 9, 2013
Manuscript Accepted: August 20, 2013
Published: September 12, 2013

Qian Hu and William Shieh, "Autocorrelation function of channel matrix in few-mode fibers with strong mode coupling," Opt. Express 21, 22153-22165 (2013)

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