Methodology of LC-SLM for filtering and phase spectral recovering of GVD and SPM in the ultra-short pulse propagation through single-mode fiber

The performance of ultra-short pulse propagation through single-mode fiber (SMF) is degraded due to linear and nonlinear phenomena like fiber loss, group velocity dispersion (GVD), and self-phase modulation (SPM). Since diffraction phenomena and transmittance functions of the optical devices affect the magnitude and phase of a propagated ultra-short pulse, it is necessary to build-up an approach in order to optimize such limitations. In the paper, a simulation of Gaussian pulse propagation through SMF and 2-f line spatial configuration is presented. The effects of GVD and SPM are generated by split-step Fourier method (SSFM) to solve the nonlinear Schrodinger equation (NLSE). For the spatial configuration, Fresnel´s approximation and the transmittance functions for optical elements such as gratings and lens are considered. To manipulate and recover spectral phases of the ultra-short pulse, an approach applied over a liquid crystal spatial light modulator (LC-SLM) as a phase modulator and spectral filter is proposed. The preliminary results show that the ultra-short pulse propagation in SMF is affected in presence of GVD and SPM just at the same time. In the second simulation, the interaction for a propagated ultra-short pulse through a 2f-line spatial configuration is described. The input spectral phases were manipulated by a LC-SLM at the Fourier´s plane, obtaining a flat phase. In the third simulation, the spectral components from a pulse were filtered by fixed masks, implemented on the LC-SLM as a low-pass and band-pass filter, respectively.