Negative- dispersion mirrors are designed and prepared, which are analyzed from the main factors such as material refractive index, thickness, the sensitive layers and interface roughness considering the electric field distribution and the measurement result of group delay dispersion (GDD) and the scanning electron microscope.

Based on the fact that dielectric film filter is minimum phase filter, this paper provided a method to reconstruct phase response from its amplitude response and then for the group velocity delay (GVD) and the chromatic dispersion.

The theoretical model of type-Ⅰ and type-Ⅱ phase matching conditions for second harmonic generation,group velocity delay of fundamental and second harmonic,and limitation of nonlinear crystal matching length by group velocity mismatch,was obtained by using energy conservation and three-wave coupled equations in optical parametric process of ultra-short pulses.