Effects of Nonuniformly-Distributed Amplification on Energy Perturbations of Isolated Optical Pulses
01 January 2003
The effects of nonuniformly-distributed amplification on the noise-induced energy perturbations of isolated optical pulses are studied. Simple formulas are obtained for the probability-density function of the output pulse energies, and its associated mean and variance. The relative energy variance (which is measured relative to the mean energy) increases (nearly) monotonically with distance. Energy perturbations in a system with nonuniformly-distributed amplification are larger than those in a system with uniformly-distributed amplification, because more noise is emitted in the former.