变形反射镜是自适应光学系统的核心器件，其校正能力受多种因素的影响，设计过程属于多维变量优化问题。针对现有变形反射镜设计方法需要进行长周期反复迭代，效率较低的问题，提出了一种新型变形反射镜设计方法。将遗传算法与弹性力学影响函数分析模型相结合，显著提升变形反射镜的设计效率，为变形反射镜的高效研制提供保障。基于该方法进行离焦、像散校正变形反射镜结构参数的设计。结果表明，该方法通过100次迭代就完成了11个变量的收敛优化，大幅减少个体计算量，实现变形反射镜的快速设计。

A deformable mirror is the core component of an adaptive optics system, its ability to correct is affected by many factors, and its design process is a multidimensional variable optimization problem. The existing design methods for deformable mirrors require repeated iterations over a long period, and the efficiency is low, making it difficult to adapt to the increasing demand for the development efficiency of deformable mirrors. To solve the abovementioned problems, this paper proposes a new design method for deformable mirrors that combines a genetic algorithm and an elastic mechanics influence function analysis model to significantly increase the design efficiency of deformable mirrors and realize rapid design of deformable mirrors. Based on the proposed method, the structural parameters of the defocus and astigmatism-corrected deformed mirror are designed. The results show that the method successfully optimizes the convergence of 11 variables over 100 iterations, significantly reducing the number of individual calculations and allowing for the rapid design of deformable mirrors.