Based on the wave equation and stimulated Raman scattering (SRS) material equations, the normalized coupled-wave equations for solid-state coherent anti-Stokes Raman shifters are deduced by Stokes seed method to research the anti-Stokes conversion efficiency. The numerical calculations are carried out to illustrate the effects of variables on the performance of solid-state coherent anti-Stokes Raman shifters in the pulse pumping regime, and several curves are generated. These variables include the normalized Raman gain G, the normalized phase mismatch ΔK and the normalized amplitude of the Stokes seed beam ψs0. The values of these variables are estimated from these curves. The results show that the highest anti-Stokes conversion efficiency of 44% can be achieved by enhancing ψs0 when phase is matched. The anti-Stokes conversion efficiency of 40% can be achieved with the weak Stokes seed beam when the proper phase mismatch is chosen.