Statistical theory of polarization dispersion in single mode fibers

Foschini, G.J.; Poole, C. D.

doi:10.1109/50.97630

Cited by 413 publications

(197 citation statements)

References 16 publications

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“…T HE stochastic analysis of fibers affected by polarization mode dispersion (PMD) has so far concentrated on the statistics of the PMD vector and its frequency derivative [1]- [3]. The interest in the PMD vector is due to its stability in frequency over the bandwidths of interest in optical communications at bit-rates of 10 Gb/s or lower.…”

Section: Introductionmentioning

confidence: 99%

Statistical characterization of the Jones matrix of long fibers affected by polarization mode dispersion (PMD)

Vannucci

Bononi

2002

J. Lightwave Technol.

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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 ( ). 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 4 . 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.

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Section: Introductionmentioning

confidence: 99%

Statistical characterization of the Jones matrix of long fibers affected by polarization mode dispersion (PMD)

Vannucci

Bononi

2002

J. Lightwave Technol.

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“…In the companion paper [3], it was explained in detail that the joint-characteristic function can be applied to the firstand second-order PMD vectors for highly-birefringent fibers in long distance limit. This function has played a key role in subsequent papers to describe various probability distribution characteristics of PMD vectors [4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Derivation of the Foschini and Shepp's Joint-Characteristic Function for the First-and Second-Order Polarization-Mode-Dispersion Vectors Using the Fokker-Planck Method

Lee

2008

Journal of the Optical Society of Korea

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“…Circular birefringence may be generated, instead, by an external magnetic field aligned with the axis of propagation, or by twisting the fiber itself [1,2]. Basic models of the optical fiber birefringence have been described in [3,4]. These works only take into account the linear birefringence, neglecting the circular one.…”

Section: Introductionmentioning

confidence: 99%

“…The above-mentioned works [3,4] described models for optical fibers with linear birefringence (considering a negligible β 3 component). This assumption is valid for most of the fibers used in telecommunications.…”

Section: Introductionmentioning

confidence: 99%

Statistical Model and Performance Analysis of a Novel Multilevel Polarization Modulation in Local “Twisted” Fibers

2017

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Transmission demand continues to grow and higher capacity optical communication systems are required to economically meet this ever-increasing need for communication services. This article expands and deepens the study of a novel optical communication system for high-capacity Local Area Networks (LANs), based on twisted optical fibers. The complete statistical behavior of this system is shown, designed for more efficient use of the fiber single-channel capacity by adopting an unconventional multilevel polarization modulation (called "bands of polarization"). Starting from simulative results, a possible reference mathematical model is proposed. Finally, the system performance is analyzed in the presence of shot-noise (coherent detection) or thermal noise (direct detection).

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Statistical theory of polarization dispersion in single mode fibers

Cited by 413 publications

References 16 publications

Statistical characterization of the Jones matrix of long fibers affected by polarization mode dispersion (PMD)

Statistical characterization of the Jones matrix of long fibers affected by polarization mode dispersion (PMD)

Derivation of the Foschini and Shepp's Joint-Characteristic Function for the First-and Second-Order Polarization-Mode-Dispersion Vectors Using the Fokker-Planck Method

Statistical Model and Performance Analysis of a Novel Multilevel Polarization Modulation in Local “Twisted” Fibers

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