Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
A fast spectral algorithm for nonlinear wave equations with linear dispersion
Journal of Computational Physics
Spectral methods in MatLab
Solution of the matrix equation AX + XB = C [F4]
Communications of the ACM
Fourth-Order Time-Stepping for Stiff PDEs
SIAM Journal on Scientific Computing
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The optical fiber transmission links form the backbone of the communicationsinfrastructure. Almost all of voice and data (internet) traffic is routed throughterrestrial and submarine optical fiber links, connecting the world together. Invention of the optical amplifiers (OAs) and wavelength-division multiplexing(WDM) technology enabled very high capacity optical fiber communicationlinks that run for thousands of kilometers without any electronic repeaters, butat the same time brought many design challenges. As electronic amplifiers do,OAs add noise to the signal they amplify. In the design of an optical fibercommunication link, the prediction of the deterioration the information signalsexperience due to the nonlinearity of the optical fiber and the optical noise generated by the OAs is essential. In this paper, we first present a short overviewof optical fiber communication systems and the challenges that faces one froma modeling, analysis and design perspective. Then, we describe novel formulations and computational techniques for the analysis of the interplay between theinformation signals and the optical noise due to the fiber nonlinearity as theypropagate together along the fiber link. Our formulations are similar, in spirit,to the linear(ized), time-varying formulations for noise analysis in analog/RFelectronic circuits. We then investigate signal-noise mixing due to optical fibernonlinearities using the techniques developed. Finally, we discuss the use ofthe generated results in the performance evaluation of communication links,and comment on system design implications.