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artículo de publicación periódica.listelement.badge Optimum integration procedures for supercontinuum simulation(2012) Rieznik, Andrés; Heidt, Alexander M.; König, Pablo; Bettachini, Víctor A.; Grosz, Diego"We study numerical solutions of the generalized nonlinear Schrödinger equation (GNLSE), focusing on the advantage of integrating the nonlinear part of the equation in the frequency domain (FD), rather than in the time domain (TD), when simulating supercontinuum generation in optical fibers. We show that integration of the nonlinear operator in the FD is more efficient than its integration in the TD. We analyze different adaptive stepsize algorithms in combination with the interaction picture integration method and show that their performance strongly depends on whether integration of the nonlinear operator is performed in the FD or TD. We find that the most efficient procedure for supercontinuum simulation in optical fibers results from solving the nonlinearity in the FD and applying the recently introduced conservation quantity error adaptive step-size algorithm."artículo de publicación periódica.listelement.badge Uncertainty relation for the optimization of optical-fiber transmission systems simulations(2005) Tolisano, T.; Callegari, Fulvio A.; Grosz, Diego; Fragnito, Hugo L.; Rieznik, Andrés“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.”