Fast wave-front reconstruction and stitching for high definition Hartmann wave-front sensor

A physical model for high definition Hartmann wave-front sensor is build up, and the feasibility of using Hudgin model instead of Fried model in high definition Hartmann wave-front sensors is proved. The boundary problem caused by unknown sub-aperture slope is analyzed, and the corresponding edge processing method is introduced. The process of wave-front reconstruction based on discrete Fourier transform is numerically simulated, and the lossless reconstruction is achieved. In practical applications, the input wave-front may be discontinuous at the edge of the obscured part. Thus a wave-front stitching method using least square solution is proposed. The main factors which slow down the speed of reconstruction are studied, and the way to improve the reconstruction performance is proposed.