The Shannon Channel Capacity of Dispersion-Free Nonlinear Optical Fiber Transmission

We extend the Shannon information theory to a nonlinear system and present a model for calculating the Shannon channel capacity of dispersion-free optical fiber transmission. For this particular fiber, a closed-form solution for the nonlinear Schroedinger equation exists. This allows us to derive an analytical result for the channel capacity that is exact and valid for arbitrary input power. We examine the dependence of the capacity on operating input power, the number of channels (N sub c), the noise poser (P sub w), etc.,. The maximum capacity is shown to follow a simple scaling law with log sub 2 N sub c sup (-2/3) dependence.