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Journal ArticleDOI

Statistical theory of polarization dispersion in single mode fibers

Gerard J. Foschini, +1 more
- 01 Nov 1991 - 
- Vol. 9, Iss: 11, pp 1439-1456
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TLDR
In this paper, an analytical characterization of polarization dispersion measurements is presented, where the authors report the solution of Poole's stochastic dynamical equation for the evolution of the dispersion vector with fiber length.
Abstract
An analytical characterization of polarization dispersion measurements is presented. The authors report the solution of Poole's stochastic dynamical equation for the evolution of the polarization dispersion vector with fiber length. The authors extend this to a more complete description by considering small, second-order dispersion effects through the frequency derivative of the dispersion vector. The complete analytical solution is seen to accord with what were originally empirically derived features of the joint probability distribution of the polarization dispersion vector and its frequency derivatives. Among the analytically determined properties are the Gaussian probability densities of the three components of the dispersion vector, and the hyperbolic secant (soliton shaped) probability densities of the components of the derivative of the dispersion vector. >

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Citations
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Journal ArticleDOI

Convergence of Probability Measures

TL;DR: Convergence of Probability Measures as mentioned in this paper is a well-known convergence of probability measures. But it does not consider the relationship between probability measures and the probability distribution of probabilities.
Journal ArticleDOI

Coherent detection in optical fiber systems

TL;DR: This work reviews detection methods, including noncoherent, differentially coherent, and coherent detection, as well as a hybrid method, and compares modulation methods encoding information in various degrees of freedom (DOF).
Journal ArticleDOI

PMD fundamentals: Polarization mode dispersion in optical fibers

TL;DR: This paper reviews the fundamental concepts and basic theory of polarization mode dispersion in optical fibers and introduces a unified notation and methodology to link the various views and concepts in Jones space and Stokes space.
Journal ArticleDOI

Fiber-optic transmission and networking: the previous 20 and the next 20 years [Invited]

TL;DR: Focusing on the optical transport and switching layer, aspects of large-scale spatial multiplexing, massive opto-electronic arrays and holistic optics-electronics-DSP integration, as well as optical node architectures for switching and multiplexed of spatial and spectral superchannels are covered.
Journal ArticleDOI

Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence

TL;DR: In this paper, it was shown that both the length scales for polarization mode dispersion and polarization decorrelation measured with respect to the local axes of birefringence are equal to the fiber autocorrelation length and that the coupled nonlinear Schrodinger equation which describes wave evolution over long length along a communication fiber can be reduced to the Manakov equation.
References
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Book

Principles of Optics

Max Born, +1 more
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.

Principles of Optics

Max Born, +1 more
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
Book

Convergence of Probability Measures

TL;DR: Weak Convergence in Metric Spaces as discussed by the authors is one of the most common modes of convergence in metric spaces, and it can be seen as a form of weak convergence in metric space.
Book

Stochastic Processes and Filtering Theory

TL;DR: In this paper, a unified treatment of linear and nonlinear filtering theory for engineers is presented, with sufficient emphasis on applications to enable the reader to use the theory for engineering problems.
Journal ArticleDOI

Convergence of Probability Measures

TL;DR: Convergence of Probability Measures as mentioned in this paper is a well-known convergence of probability measures. But it does not consider the relationship between probability measures and the probability distribution of probabilities.
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