Numerical studies of the nonlinear and dispersive propagation of optical pulses using the method of lines

Abstract

Today's requirement for the transfer of information requires the use of broadband transmission systems. This need has successfully addressed the use of WDM systems, where the transmission of multiple channels should address the impacts of dispersion and nonlinear phenomena that occur during transmission. To describe these effects is useful to solve the nonlinear Schrödinger equation (NLSE), which is a second order partial differential equation. It’s hard to be solved by analytical methods. This paper deals with using one method of the group of finite-difference methods, the socalled method of lines to solve NLSE. The first part is focused on the propagation of the unchirped Gaussian pulse in optical fiber including group velocity dispersion and then we investigated the effect of GVD in the spread of two Gaussian pulses in the same optical fiber. The results show the interaction of these pulses. Then we have focused on the behavior of different chirped Gaussian pulses propagating in optical fiber in anomalous dispersion regime.