Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group
  • Journal of Lightwave Technology
  • Vol. 20,
  • Issue 5,
  • pp. 783-
  • (2002)

Statistical Characterization of the Jones Matrix of Long Fibers Affected by Polarization Mode Dispersion (PMD)

Not Accessible

Your library or personal account may give you access

Abstract

The unitary transfer matrix of a fiber affected by polarization mode dispersion (PMD) is analyzed using the Stokes representation of its eigenmodes and its retardation angle, or equivalently through its Pauli coordinates. We develop a statistical theory applied to these parameters and relate it to the extensive existing literature on the statistics of the PMD vector Ωo (ω). Dynamical equations are established for the Pauli coordinates. Assuming a standard"white Gaussian"model for the local birefringence, and using the tools of stochastic calculus,we derive the distributions of the eigenmodes, the retardation angle, the Pauli coordinates, and of the frequency derivatives of all these parameters. The evolution in space of the Pauli coordinates is also characterized as a standard Brownian motion on the unit sphere in Re4. An expression for the frequency autocorrelation function of the Pauli coordinates, the eigenmodes and the retardation angle is derived and their coherence bandwidth is compared to that of the PMD vector. All theoretical results are supported by simulation over an ensemble of 10 000 fibers,using the standard retarder plate model.

[IEEE ]

PDF Article
More Like This
Statistics of the Jones matrix of fibers affected by polarization mode dispersion

Alberto Bononi and Armando Vannucci
Opt. Lett. 26(10) 675-677 (2001)

Jones matrix of polarization mode dispersion

Denis Penninckx and Vincent Morénas
Opt. Lett. 24(13) 875-877 (1999)

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

Qian Hu and William Shieh
Opt. Express 21(19) 22153-22165 (2013)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved