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Dear Sir ***:
Your revised manuscript does not suitably address the reviewers¡¯ concerns, therefore I cannot accept your manuscript in its present form for publication in Applied Optics.
If you wish to revise your manuscript to meet the reviewers¡¯ objections (given below), you may choose to resubmit it to APPLIED OPTICS. The manuscript will, however, be regarded as a new manuscript and be given a new submission date.
Thank you for submitting your manuscript to APPLIED OPTICS. We hope that we will be able to serve you in the future.
Sincerely,
****  ****,
Topical Editor, APPLIED OPTICS
----------------------------
Reviewer comments provided here:
Reviewer 1
After reading thru the authors responding letter, I was not convinced by the authors¡¯ arguments.
The major problem was focused on the linear Interpolation estimation of the unknowns that the authors proposed for wavefront estimation of large amount of shearing. It is true that for 2-D wavefront estimation, if wavefront resolution is based on the shear amount, the spatial resolution can be low for the large shears. And if you want to obtain a high spatial resolution estimation, you have to take more measurements. This is the price we should pay at present for high resolution estimation. Compare to the small shear (such as one pixel shear), wavefront estimation based on large shear (more than one pixel) with proposed method does have an advantage of high resolution in wavefront estimation as the small shear, except for linear interpolation approach for the wavefront unknowns, which is not acceptable. If the interpolation could be used for estimating the unknown values, why the authors do not use the linear interpolation of wavefront slope? At least it is more accurate and more reasonable than the linear interpolation of the unknown wavefront. It is also true that for the large shear the signal to noise ratio could be higher, but we are not clear how the authors would treat the 2pi(or one pi) phase ambiguity for the large shear scenario, which can be a big problem.

For the finite difference based wavefront estimation, it is approximate method even if the authors think it is ¡° exactly accurate in principle¡±. It is generally not acceptable in the field of wavefront metrology if a method is principally incorrect even if the induced error is only 1-5% for some specific simulation examples. Of course, you can still use it as your own purpose, but it is not proper to publish to mislead the academia.

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