A method has been developed to least-mean square fit Zernike polynomials to optical component deformations during finite element structural analysis. This procedure uses a pre-processor to MSC/NASTRAN and allows the polynomial fit to be calculated during dynamic response as well as static loading.
David F. Bella,
"Msc/Nastran Pre-Processor For Performing Zernike Polynomial Analysis", Proc. SPIE 0748, Structural Mechanics of Optical Systems II, (3 June 1987); doi: 10.1117/12.939821; https://doi.org/10.1117/12.939821