Linear and nonlinear transfer functions of single mode fiber for optical transmission systems.

The transmittance transfer function of single mode optical fibers operating in both linear and nonlinear regions is presented. For the linear domain, Fresnel sine and cosine integrals are obtained via the Fourier transform. In the nonlinear region dominated by self-phase-modulation effects, the Volterra series is essential to obtain the nonlinear transfer function. A convergence criterion for the Volterra series transfer function (VSTF) approach is described for solving the nonlinear Schrödinger wave propagation equation. Soliton transmission over single fibers is demonstrated as a case study of the application of the VSTF and a modified VSTF with a number of segmented steps whose distance is within the limit of the convergence of the VSTF.