Variational Approach to Optimal Dispersion Compensation

摘要

The variational method is used to model output pulse widths in concatenated fiber links designed for dispersion compensation. The expressions for the output widths are given in analytical form with explicit dependence on the key parameters of initial width and chirp, the dispersion constant of each fiber section and the length of each section. In the ideal linear case, perfect compensation occurs when the sum of the dispersion-distance products of the two links is zero. However, in the presence of nonlinearities a new relationship is found to govern many operating systems. Specifically, the disperison-distance product of the second link should equal minus one-half the dispersion-distance product of the first link.