Physics – Optics
Scientific paper
2003-01-28
Optics Letters, vol. 28, pp. 1350-1352, 2003
Physics
Optics
13 pages, 3 figures
Scientific paper
10.1364/OL.28.001350
The asymptotic probability density function of nonlinear phase noise, often called the Gordon-Mollenauer effect, is derived analytically when the number of fiber spans is very large. The nonlinear phase noise is the summation of infinitely many independently distributed noncentral chi-square random variables with two degrees of freedom. The mean and standard deviation of those random variables are both proportional to the square of the reciprocal of all odd natural numbers. The nonlinear phase noise can also be accurately modeled as the summation of a noncentral chi-square random variable with two degrees of freedom and a Gaussian random variable.
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