Park Kwijong, Cho Myung, Lee Dae-Hee, Moon Bongkon
Opt Express. 2014 Dec 29;22(26):31864-74. doi: 10.1364/OE.22.031864.
Zernike polynomials are generally used to predict the optical performance of a mirror. However, it can also be done by a numerical iterative method. As piston, tip, tilt, and defocus (P.T.T.F) aberrations can be easily removed by optical alignment, we iteratively used a rotation transformation and a paraboloid graph subtraction for removal of the aberrations from a raw deformation of the optical surface through a Finite Element Method (FEM). The results of a 30 cm concave circular mirror corrected by the iterative method were almost the same as those yielded by Zernike polynomial fitting, and the computational time was fast. In addition, a concave square mirror whose surface area is π was analyzed in order to visualize the deformation maps of a general mirror aperture shape. The iterative method can be applicable efficiently because it does not depend on the mirror aperture shape.
泽尼克多项式通常用于预测镜子的光学性能。然而，也可以通过数值迭代方法来实现。由于通过光学对准可以轻松消除活塞、倾斜、俯仰和离焦（P.T.T.F）像差，我们通过有限元方法（FEM），对光学表面的原始变形进行迭代，使用旋转变换和抛物面图减法来消除像差。用迭代方法校正的30厘米凹面圆形镜的结果与泽尼克多项式拟合得到的结果几乎相同，并且计算时间很快。此外，为了可视化一般镜面孔径形状的变形图，还分析了一个表面积为π的凹面方镜。该迭代方法可不依赖于镜面孔径形状而高效应用。
