Enhanced parametric amplification in slow-light photonic crystal waveguides

We demonstrate both theoretically and numerically that slow light can enhance the parametric process of silicon in photonic crystal line-defect waveguides.Specifically,to get the desired gain,the pump power for a given gain medium length or the gain medium length for given pump power can be reduced by(c/vgn)2 when slow light waveguides are used,where n is the material index of conventional waveguide,vg is the group velocity of the slow light waveguide and c is the light velocity in vacuum.