Laser diode pumped solid-state lasers (DPSSL) has become an important way to realize the next generation of laser-driven device for energy conversion efficiency and repetition rate requirements. High repetition frequency leads to heat accumulation on the memory medium, which will cause thermo-optical effect, elasto-optical effect and bulk displacement, then resuls in the generation of wavefront distortion and affects the beam quality. Aimed at 100 J output energy and 10 Hz repetition frequency amplifier module, the extraction efficiency and gain performance storage are analyzed, and the sheet laser diode pumped amplifier module structure is designed using gas cooling technology. Thermal analysis models of single slice amplifier are established using the finite element analysis. The influence of signal slice thickness and convective heat transfer coefficient to the wavefront distortion are researched, in consideration of the limitation of the total wavefront distortion, we obtain the optimal value of single slice thickness. Using super-Gaussian beam on behalf of pump source and considering the distribution of helium gas flow, we analysis the thermal designed data and simulate the temperature, bulk displacement and stress distribution to get the related wavefront distortions.