基于Zernike多项式进行波面拟合研究

Study on wavefront fitting using Zernike polynomials

基于Zernike多项式利用Householder变换法对不同空间频率径向误差和不同口径局部误差进行了拟合,得到了拟合误差的均方根(RMS)值,分析了Zernike多项式的局限性。结果表明,Zernike在拟合径向误差时,受到最大空间频率的限制;在拟合局部误差时要受到局部误差口径大小的限制,并且会引起额外的波动。

Both radial errors with different spatial frequencies and local errors with different aperture sizes were fitted using Zernike polynomials. Householder transformtion method was applied to work out Zernike coefficients, getting the RMS value of fitting errors. The limitation of Zernike polynomials was analyzed. The results showed that the maximum spatial frequency limits the fitting accuracy of radial errors, and the aperture size limits the fitting accuracy of local errors, generating extra rip pies.