Non-Gaussian statistics of an optical soliton in the presence of amplified spontaneous emission.

摘要: We apply an approach based on the Fokker –Planck equation to study statistics of optical soliton parameters in presence additive noise. This rigorous method not only allows us reproduce and justify classical Gordon – Haus formula but also leads new exact results. © 2003 Optical Society America OCIS codes: 060.2330, 190.5530. Since seminal work by 1 (see Ref. 2 for mathematical theory effect), a great deal attention has been devoted studying long-haul communication. Amplified spontaneous emission yields spurious jitter parameters, which turn impairs transmission. The effect is enhanced as propagation distance increases. For instance, celebrated Gordon–Haus result pure nonlinear Schrodinger with lumped amplifiers says that variance time grows proportionally cube distance. Most results concerning have obtained under assumption Gaussian. Although this seem agree rather well numerics experiments, from theoretical view point more justification desirable. Actually, there no reason assume Gaussian holds large distances, because system consideration essentially nonlinear. Knowledge correct probability density function (PDF) especially important such characteristics bit-error rate depend shape whole PDF, particular, its tails. Large, rare f luctuations are typically beyond area applicability usual statistics. 3–1 0 Therefore knowledge including tails, absolutely crucial estimate rate. And, we show below, these tails even small when bulk PDF can still be considered such. In Letter statistics, rigorously deriving Fokker–Planck governing four parameters. As principal example examine white First justified short enough distances (apart tails). approximation breaks down, illustrate calculating explicitly amplitude. amplified noise solitons fibers described perturbed equation: ≠q ≠z i