Impact of higher order dispersion in the propagation of optical pulse in the photonic crystal fibers - A Projection Operator approach

A numerical investigation of the impact of fourth-order dispersion in the dynamics of Gaussian pulse propagation in photonic crystal fiber is presented. Considering the importance of waveguide dispersion in photonic crystal fiber, higher-order dispersion, especially fourth-order dispersion, is found to be crucial and significantly affects the dynamics. To study the evolution of various pulse parameters during propagation, we adopt the generalized projection operator method to derive the pulse parameter equation. It is observed that the fourth-order dispersion is found to be critical and, hence, remarkably influences the dynamics. A detailed discussion is presented to give further insight into the impact of Fourth order dispersion. Different ansatz-like methods are also considered alongside the Gaussian ansatz.