Optimal integrating techniques for supercontinuum simulations

Study theoretical solutions of the generalized nonlinear Schrodinger equation, with a particular emphasis to While modeling supercontinuum creation in optical photonic crystal fibers. The improvement in integration of the nonlinear section of the equation in the time domain (TD) compared to the frequency domain (FD) demonstrates why integrating the nonlinear operation into the FD is more effective than integrating it into the TD. The effectiveness of several adaptive step-size methods was examined in conjunction with the interaction graphic integration approach to demonstrate how it substantially affects whether nonlinear operation integration is carried out in the FD or TD. One discovery is that the newly invented preservation quantity error adaptive step-size algorithm and addressing the nonlinearity in the FD produce the most effective method for supercontinuum modeling in optical.