Improved wavefront reconstruction using difference Zernike polynomials for two double-shearing wavefronts
2012
To realize wavefront reconstruction for two double-shearing wavefronts produced by our studied cross phase grating
lateral shearing interferometer(CPGLSI) in x and y directions, improved wavefront reconstruction using difference
Zernike polynomials is studied in this paper. Firstly, the x directional double-shearing wavefronts in the x direction
produced by shearing of (+1, +1), (-1, +1) orders diffraction beams and that of (+1,-1), (-1,-1) orders diffraction beams
are represented respectively by the corresponding difference Zernike polynomials. Then the whole difference wavefront
in x direction is represented by the half value of the sum of the above x directional double-shearing wavefronts.
Similarly, the double-shearing wavefronts in the y direction produced by shearing of (+1, +1), (+1, -1) orders and that of
(-1, +1), (-1,-1) orders are represented respectively by the corresponding difference Zernike polynomials. Then the whole
difference wavefront in y direction is also represented by the half value of the sum of the y directional double-shearing
wavefronts. Secondly, the least square fitting is used to obtain the whole wavefront. Investigations on reconstruction
accuracy and reliability are carried out by numerical experiments, in which influences of different shearing amounts and
noises on reconstruction accuracy are evaluated. The simulation results show that the wavefront reconstruction accuracy
can all reach to high accuracy corresponding to different shearing amounts and also validate that our wavefront
reconstruction technique is robust to noise.
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