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Methods of Step-Size Distribution Optimization Used in S-SSFM Simulations of WDM Systems

Jaworski M.

Journal of Telecommunications and Information Technology

2009

nr 1

44-50

Brief review of methods used for simulation of signal propagation in wavelength division multiplexed (WDM)links is presented. We propose two novel methods of stepsize distribution optimization used to improve symmetrized split step Fourier method (S-SSFM) numerical efficiency: presimulated local error S-SSFM (PsLE S-SSFM) and modified logarithmic (ML S-SSFM). The PsLE S-SSFM contains two stages: in the initial stage step-size distribution optimization is carried out by combining local error method and presimulation with signal spectrum averaging; in the second stage conventional SSFM is used by applying optimal step-size distribution obtained in the initial stage. The ML S-SSFMis generalization of logarithmic method proposed to suppress spurious FWM tones, in which a slope of logarithmic step-size distribution is optimized. Overall time savings exceed 50%, depending of a simulated system scenario.

Generation of fundamental soliton in the presence of initial linear chirp

Kaczmarek T.

Optica Applicata

2004

Vol. 34, nr 2

241-248

Generation of fundamental soliton in nonlinear optical fiber from chirped pulses of different initial shapes is discussed. Results of numerical calculations having in view solution of nonlinear Schrödinger equation for complex initial condition using split-step Fourier method are presented. Initial shape-dependent critical value of the chirp parameter is determined. Critical value is such a value of the chirp parameter at which generation of soliton in optical fiber is impossible