Uncertainty relation for the optimization of optical-fiber transmission systems simulations.

@article{Rieznik2005UncertaintyRF,
  title={Uncertainty relation for the optimization of optical-fiber transmission systems simulations.},
  author={Andr{\'e}s Rieznik and T Tolisano and Fellow IWA A. Callegari and D Grosz and Hugo L. Fragnito},
  journal={Optics express},
  year={2005},
  volume={13 10},
  pages={3822-34}
}
The mathematical inequality which in quantum mechanics gives rise to the uncertainty principle between two non commuting operators is used to develop a spatial step-size selection algorithm for the Split-Step Fourier Method (SSFM) for solving Generalized Non-Linear Schrödinger Equations (G-NLSEs). Numerical experiments are performed to analyze the efficiency of the method in modeling optical-fiber communications systems, showing its advantages relative to other algorithms.