On analysis of the mechanics theory of polyimide membrane mirror

a numerical solution of membrane reflector on the equispaced load and proper pre-stressing force is computed

and the error between ideal surface and computed surface is given. Taking surface load on different areas of the mirror as design variable

yield strength of the membrane as state variable and mean square root of the error between ideal surface and computed surface as target function

the surface shape of membrane mirror is optimized with ANSYS software. Finally

the wavefront of the mirror before and after optimization is calculated using Zernike polynomial fitting

and aberration of the mirror is presented. The results show that the shape of high accuracy parabolic membrane mirror can be obtained applying appropriate loads on different areas of the membrane mirror.