Shock-augmented ignition (SAI) is a promising optimized scheme recently developed from the shock ignition concept, which may effectively mitigate the laser-plasma interaction (LPI) instabilities by reducing laser power intensity of ignition pulse. In this study, numerical simulations are performed on the SAI scheme driven by second-harmonic (2ω) laser, and the implosion gain window of the SAI scheme is obtained with different compression pulse duration and power dip duration, which is introduced at the end of compression pulse prior to ignition pulse. By incorporating the implosion results obtained under third-harmonic (3ω) laser drive, we investigate the correlation between the implosion gain and power dip duration. The time match between the rebounding shock wave and the ignition shock wave is assessed by analyzing the implosion velocity generated by the compression pulse. Here，the gain as function of shell implosion velocity is analyzed. Our results also reveal that the optimal implosion velocity for SAI is comparable for both 2ω and 3ω driving lasers for the considered ignition pulse. In additional, the effect of wavelength of the driving laser on the ignition time window is discussed. It is indicated that the dip duration will decrease with the increase of wavelength, and this dependence is corroborated by additional simulations using fourth-harmonic (4ω) laser light.