Making use of the canonical quantization theory and defining proper creation and annihilation operators, the total
Hamiltonian for the pulse propagation through the optical fiber is quantized. An operator form of the nonlinear
Schrodinger equation is obtained implementing the resulted Hamiltonian. We, then, use the results of the positive P-representation
and obtain a coupled stochastic nonlinear Schrodinger equation. Finally, we simulate these equations and
argue about supercontinuum generation process in optical fiber (especially in photonic crystal fiber).
In this essay, we investigate the higher order dispersion effects on supercontinuum (SC) generation in microstructure fibers by studying the temporal and frequency dependence of the ejected pulse. We also investigate the soliton formation and spectrum broadening. In these processes, we observed dispersive wave generated due to soliton fission. Here, we solve nonlinear Schrodinger equation by split step Fourier method.