Abstract: A one-dimension analysis model was set up to describe the thin mirror deformation process caused by discrete external forces, especially with small bending approximating. With the model, a thin mirror with a diameter of 300 mm and a ratio of 40 of diameter to thickness at discrete supports is simulated by finite element analysis method and four different deformations are calculated. The external concentrated forces can be obtained from the analysis results. During the optimization process, the location and the magnitude of external forces are determined by zero order optimization method. The optimization analysis results show that the deformation curve with optimization corresponds to the target curve. The maximum average difference decreases as much as 58%, compared with the results witho