Reconstructing wavefronts with varying Hartmann arrays

Yuval Carmon; Erez N. Ribak

doi:10.1117/12.457967

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30 January 2003 Reconstructing wave fronts with varying Hartmann rays

Yuval Carmon, Erez N. Ribak

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Proceedings Volume 4840, Future Giant Telescopes; (2003) https://doi.org/10.1117/12.457967
Event: Astronomical Telescopes and Instrumentation, 2002, Waikoloa, Hawai'i, United States

Abstract

Following the development of a Hartmann-Shack sensor with a variable pitch, we needed a data analysis method that does not require a priori the locations of the foci of the lenslets. Thus we developed a method for retrieving the wave front from a Hartmann-Shack sensor using a two-dimensional Fourier demodulation technique. Digital demodulation is applied twice on the pattern, along two orthogonal axes. This provides both phase gradient components in real space, smoothed over the extent of the array. If necessary, a Fourier reconstruction can be used to obtain the corresponding wave front from the gradient components. The technique is rather robust to Poisson and white noise and to relatively large deviations of the foci. The method was tested successfully on a mirror with known large aberrations.

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Yuval Carmon and Erez N. Ribak "Reconstructing wave fronts with varying Hartmann rays", Proc. SPIE 4840, Future Giant Telescopes, (30 January 2003); https://doi.org/10.1117/12.457967

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