Can we generate supercontinuum in photonic crystal waveguides? What are the pre-requisites to start with? And is there any software that will be helpful for simulation?
yes. I think this can be done. In fact, there are many papers using photonic crystal fibers to generate SC, quite efficiently. In the case of PhC waveguide, the working principle will be similar.
To simulate SC generation, the first thing you need to do is to find the dispersion of the waveguide. Then, you can incorporate it to the well-established non-linear Schrodinger equation and solve it. Of course, you may also need the k2 and other material parameters. I used to solve this equation with Matlab. About the code, you can easily find it in Prof Dudley's book called "Supercontinuum generation in optical fibers".
Yes! Photonic crystals are actually good candidates for supercontinuum generation. There are two factors to achieve a wide spectrum exploiting self-phase modulation, field confinement, and material nonlinearity. Photonic crystals are very good at achieving very good field confinement , resulting in large effective nonlinearity coefficients. For short waveguides (1 mm-1 cm) dispersion is not important, the only remaining factor is the material from which the photonic crystal is made, through its nonlinear refractive index