Modal wavefront reconstruction from its gradient

作者：Mochi Iacopo^*; Goldberg Kenneth A

来源：Applied Optics, 2015, 54(12): 3780-3785.

DOI：10.1364/AO.54.003780

Several wavefront sensing techniques provide direct or indirect measurements of the wavefront error gradient, for example the Shack-Hartmann sensor, the Foucault knife-edge test, shearing interferometry, and many others. We developed and tested a noniterative method to reconstruct the wavefront error from its gradient. The method is based on the projection of the measured gradients onto a basis derived from multiple directional derivatives that have been combined into an intermediate set of orthogonal functions. To reduce errors that arise from linear approximations, the intermediate functions can be calculated with parameters that match the known experimental conditions. This method can be implemented using any convenient set of smooth polynomials defined on a two-dimensional domain, and it is not computationally intensive. In this paper we describe the method in detail, provide an example of a possible implementation, and discuss the effect that random noise in the measured gradient has on the reconstruction.

• 出版日期2015-4-20