The elastic modes of a general circular thin plate (EMCTP), reflecting the natural deformation of the resonance, are applied to the diffraction theory of the optical aberrations in this paper. Our work has shown that the mode shapes of the EMCTP resemble those of the Zernike polynomials. As an application example, the compensations of some low order aberrations of the 2.5 m-wide field survey telescope (WFST) have been performed with the EMCTP. Moreover, a quantitative comparative study of the active optics corrections for the EMCTP and the Zernike polynomials is presented in the numerical analysis. The quantitative analysis results have demonstrated that the efficiency of the EMCTP is superior to the standard Zernike polynomials as well as the annular Zernike polynomials.

中文翻译：

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圆板弹性模态在自适应光学和有源光学波前校正中的应用

本文将反映共振的自然变形的普通圆形薄板（EMCTP）的弹性模态应用于光学像差的衍射理论。我们的工作表明，EMCTP的众数形状类似于Zernike多项式的众数。作为一个应用示例，已经使用EMCTP对2.5 m宽的实地测量望远镜（WFST）的一些低阶像差进行了补偿。此外，在数值分析中给出了对EMCTP和Zernike多项式的有源光学校正的定量比较研究。定量分析结果表明，EMCTP的效率优于标准Zernike多项式和环形Zernike多项式。