Research of sampling point number in wave front fitting with Zernike polynomials
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Corresponding author:
ZHONG Ying, xsllinlin@163.com
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Received Date:
2010-04-12
Accepted Date:
2010-05-04
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Abstract
In order to study the effect of sampling point number on fitting precision when fitting wave front by Zernike polynomials,it was analyzed by means of the method of inadequate induction,and then the change law of sampling point number and fitting precision of dozens of different test functions was obtained.The results reveal that all test functions follow the same law that fitting precision has little change when sampling point number reach a certain number.In addition,the change law of sampling point number and Zernike polynomials term number was obtained by calculation.Thus,the experiential formula to determinate sampling point number are found,which is of great practical instructional significance in wave front fitting with Zernike polynomials.
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References
|
[1]
|
YANG H F,JIANG Z F.Research of Zernike modal wavefront reconstruction of 19-element Hartmann-Shack wavefront sensor[J].Laser Technology,2005,29(5):484-487(in Chinese). |
|
[2]
|
HOU X,WU F,YANG L,et al.Wavefront fitting with Zernike annular polynomials for circular and annular pupils[J].Infrared and Laser Engineering,2006,35(5):523-526(in Chinese). |
|
[3]
|
LUO Zh F,CHENG H X,DING L.Wavefront measurement and reconstruction of small phase-distortion on laser beam[J].Laser Journal,2006,27(3):35-36(in Chinese). |
|
[4]
|
HOU X,WIT F,YANG L,et al.Effect analysis of edge errors in wavefront fitting with zernike polynomials[J].Infrared and Laser Engineering,2006,35 (s2):89-94 (in Chinese). |
|
[5]
|
DUAN H F,YANG Z P,WANG Sh Q,et al.Model wavefront reconstruction of Shack-Hartmann sensor on arbitrary area and wavefront expression by zernike polynomials[J].Chinese Journal of Lasers,2002,29(6):66-70(in Chinese). |
|
[6]
|
YANG P,AO M W,LIU Y,et al.Adaptive optics genetic algorithm based on zernike mode coefficients[J].Chinese Journal of Lasers,2008,35 (3):11-16 (in Chinese). |
|
[7]
|
HOU X,WU F,YANG L,et al.Optimum analysis of seidel aberrations calculated with Zemike circle polynomials for the obscured aspherieal primary mirror[J].Journal of Optoeiectrunics·laser,2006,17(5):568-572(in Chinese). |
|
[8]
|
LIU J P,LIANG L P,JIN Sh L,et al.Testing large curvature surface of optical element with spatial carrier heterodyne interferometry[J].Infrared and Laser Engineering,2009,38(1):134-139(in Chinese). |
|
[9]
|
WANG F G,YANG H B,LI H Zh,et al.Application and algorithm research of active optics in thin mirrors[J].Infrared Technology,2007,29(12):704-707(in Chinese). |
|
[10]
|
QI Y Ch,AN Y,JIN G,et al.Optical/mechanical integration of hyper-thin membrane mirror with large aperture[J].Semiconductor Optoelectronics,2006,27 (5):563-565 (in Chinese). |
|
[11]
|
WANG Zh Y,WU Zh H.Using binary optical phase plate to correct the error of intederometer[J].Journal of Optcelectronics·Laser,1995,6(6):369-375(in Chinese). |
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