A study on the propagation characteristics of pulses in optical fiber communication systems

Extended Split-Step Fourier Transform Approach for Accurate Characterization of Soliton Propagation in a Lossy Optical Fiber

“…where uðz, tÞ is the spatial-temporal varying amplitude of the optical pulse, z is the longitudinal coordinate of the fiber, and t is the normalized time with respect to a reference frame that moves with the pulse at a speed equal to the group velocity v g = 1/β 1 . This frame is also called the retarded frame, such that t = ζ − ðz/v g Þ, where ζ is the present or physical time; both z and t are dimensionless in distance and time, respectively, α is the power attenuation constant, ɣ is the Kerr nonlinear coefficient, and β 2 is the first-order group velocity dispersion (GVD) parameter or the second-order dispersion coefficient [19,20], which can be computed using the following formula:…”

“…More specifically, the split-step Fourier transform is suggested for its high processing speed, stability, and accuracy, along with other techniques such as the Fourier pseudospectral method and the Hopscotch approach, as employed elsewhere for solving other equations [10][11][12][13][14][15][16], which will be comprehensively explained within this framework. Besides, other numerical approaches have recently been developed to report the 1D NLSE by several authors, for more details, see [17][18][19][20][21][22][23][24][25][26]. Additionally, analytical approximations to solve the NLSE might exist by implementing plenty of linearization techniques.…”

Análisis de los efectos dispersivos y no lineales de un canal óptico empleando métodos numéricos

“…En [9] se obtienen experimentalmente resultados de la relación portadora a ruido CNR (Carrier to Noise Ratio) para canales analógicos de Frecuencia Modulada (FM) y de Televisión por Cable (CATV). En [10] se obtienen soluciones analíticas aproximadas a la NLSE para verificar los fenómenos SPM y SRS. En [11] los autores plantean la solución de la NLSE mediante el método de SSF y se analiza una forma de compensación empleando fibra compensadora DCF (Dispersion Compensating Fiber).…”