Iterative least-squares wavefront estimation for general pupil shapes
First Claim
1. A method for wavefront reconstruction comprising the steps of:
- (a) obtaining slope-type data from a wavefront sensor;
(b) embedding an irregular pupil to a regular square domain and setting the slopes outside the pupil to zero;
(c) computing a wavefront estimation for the square domain;
(d) computing slopes of the computed wavefront;
(e) replacing the slopes in original pupil region with original raw slope data; and
(f) iteratively computing for the whole extended square domain until the wavefront difference between two consecutive iterations is less than a set threshold value.
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Abstract
Iterative algorithm methods and systems for slope or gradient-type data is presented for wavefront zonal estimation of regular and irregular pupil shapes. The methods and systems bears universal wavefront estimation matrices that are directly applicable to any pupil shape without the need to set up new matrices. The algorithm consists in first extending the sampling pupil to a larger regular square shape and second extrapolating the sampled slope data outside of the sampling pupil employing Gerchberg-type iterations. Unbiased least-squares wavefront estimation is then performed in the square domain. Results show that the RMS deviation error of the estimated wavefront from the original wavefront can be less than λ/150 after about twelve iterations and less than λ/100 (both for λ equal 632.8 nm) within as few as five iterations.
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Citations
14 Claims
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1. A method for wavefront reconstruction comprising the steps of:
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(a) obtaining slope-type data from a wavefront sensor; (b) embedding an irregular pupil to a regular square domain and setting the slopes outside the pupil to zero; (c) computing a wavefront estimation for the square domain; (d) computing slopes of the computed wavefront; (e) replacing the slopes in original pupil region with original raw slope data; and (f) iteratively computing for the whole extended square domain until the wavefront difference between two consecutive iterations is less than a set threshold value. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. An iterative system for wavefront reconstruction comprising:
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means for obaining slope-type data from a wavefront sensor; means for embedding an irregular pupil to a regular square domain and setting the slopes outside the pupil to zero; means for determining a wavefront estimation for the square domain; means for determining slopes of the wavefront estimation; means for replacing the slopes in original pupil region with original raw slope data; and means for iteratively determining for the whole extended square domain until the wavefront difference between two consecutive iterations is less than a set threshold value.
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Specification