Title :
A Combined Regular-Logarithmic Perturbation Method for Signal-Noise Interaction in Amplified Optical Systems
Author :
Secondini, Marco ; Forestieri, Enrico ; Menyuk, Curtis R.
Author_Institution :
Scuola Superiore Sant´´Anna di Studi Universitari e di Perfezionamento, Pisa, Italy
Abstract :
We present a novel perturbation method for the nonlinear Schrodinger equation(NLSE) that governs the propagation of light in optical fibers. We apply this method to study signal-noise interactions in amplified multispan fiber-optic systems. Being based on a combination of the regular perturbation (RP) and logarithmic perturbation, the method is especially suitable for modeling the simultaneous presence of nonlinear and dispersive effects. Even after linearization, it retains the contribution of the quadratic perturbation terms of the NLSE, thereby achieving higher accuracy than an RP with comparable complexity. We revise parametric gain and nonlinear phase-noise effects under the new theory. We finally consider several examples and evaluate the probability density function of the optical or postdetection signal and the bit-error rate of an NRZ-OOK system. All of the results are compared with other models and with multicanonical Monte Carlo simulations.
Keywords :
Monte Carlo methods; Schrodinger equation; amplitude shift keying; error statistics; optical Kerr effect; optical communication equipment; optical fibre amplifiers; optical fibre communication; optical fibre dispersion; optical fibre theory; optical noise; optical signal detection; perturbation techniques; phase noise; photodetectors; NRZ-OOK system; amplified multispan fiber-optic system; bit-error rate; combined regular-logarithmic perturbation method; dispersive effect; multicanonical Monte Carlo simulation; nonlinear Schrodinger equation; nonlinear phase-noise effect; optical Kerr effect; optical communication system performance; optical fiber light propagation; optical-fiber theory; parametric gain; photodetected signal; probability density function; quadratic perturbation contribution; signal-noise interaction; Bit error rate; Dispersion; Fiber nonlinear optics; Nonlinear equations; Nonlinear optics; Optical fibers; Optical propagation; Perturbation methods; Probability density function; Stimulated emission; Communication system performance; Karhunen– LoÈve transforms; Monte Carlo methods; nonlinearities; optical Kerr effect; optical noise; optical-fiber theory; parametric gain; perturbation methods; phase noise;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2009.2012873
