6 November 2014 Analysis of error propagation in an improved zonal phase-gradient model
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Abstract
Wavefront sensing and reconstruction finds numerous applications in the field of optical technology. Zonal estimation from the wavefront difference or slope data is an important wavefront reconstruction approach. In this reconstruction method, the wavefront is estimated at specific grid points directly from the wavefront differences by using the least-square method. One of the important sources of error in wavefront estimation process is the detector or CCD centroiding error which may propagate in a basic wavefront estimation process, thereby degrading the performance of the wavefront sensor. Hence, quantification of this error is important as this may be considered as one of the selection parameter of a particular estimation geometry. In the present work, we compute the wavefront difference based (WFDB) error propagation coefficient due to this centroiding error for an improved zonal phase-gradient model which is formally applicable for a Shack-Hartmann (S-H) type sensor and show that the improved model offers a substantial reduction of error propagation. The theoretical error propagation coefficient is shown to have a strong correlation with the experimentally obtained RMS errors for the same model.
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Biswajit Pathak, Bosanta R. Boruah, "Analysis of error propagation in an improved zonal phase-gradient model", Proc. SPIE 9272, Optical Design and Testing VI, 92721Y (6 November 2014); doi: 10.1117/12.2072302; https://doi.org/10.1117/12.2072302
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