In this paper, the expression of polarization structure for superlattice materials with phase mismatch and relative coefficient is established. Based on this method, a MgO:APLN crystal with two reciprocal lattice vectors is designed to generate 1.47μm, 3.84μm and 1.57μm, 3.3μm parametric light pumped by 1064 nm fundamental frequency light. Comparing the Fourier coefficients of MgO:APLN crystals with different structures, it is found that the Fourier coefficients of the two reciprocal lattice vectors are equal when the relative coefficient is 1:1. Based on this crystal, the experiment of external cavity MgO:APLN-MOPO is carried out to optimize the output transmittance of parametric optical coupling. With 20kHz high repetition rate 1064nm laser pumping, 1.57μm and 3.84 μm are achieved and the average power are 4.1W and 3.7W, respectively. The corresponding light-to-light conversion efficiency are 17.1% and 15.4%.