Characterization of measurement accuracy of the phase-shifting point diffraction interferometer (PS/PDI) is usually performed by two-pinhole null test. In this procedure, the geometrical coma and detector tilt astigmatism systematic errors are almost one or two magnitude higher than the desired accuracy of PS/PDI. These errors must be accurately removed from the null test result to achieve high accuracy. Published calibration methods, which can remove the geometrical coma error successfully, have some limitations in calibrating the astigmatism error. In this paper, we propose a method to simultaneously calibrate the geometrical coma and detector tilt astigmatism errors in PS/PDI null test. Based on the measurement results obtained from two pinhole pairs in orthogonal directions, the method utilizes the orthogonal and rotational symmetry properties of Zernike polynomials over unit circle to calculate the systematic errors introduced in null test of PS/PDI. The experiment using PS/PDI operated at visible light is performed to verify the method. The results show that the method is effective in isolating the systematic errors of PS/PDI and the measurement accuracy of the calibrated PS/PDI is 0.0088λ rms (λ = 632.8 nm).
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March 2011
Research Article|
March 11 2011
Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer Available to Purchase
Ke Liu;
Ke Liu
a)
Key Laboratory of Photoelectronic Imaging Technology and System, Ministry of Education of China, School of Optoelectronics,
Beijing Institute of Technology
, Beijing 100081, China
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Yanqiu Li;
Yanqiu Li
Key Laboratory of Photoelectronic Imaging Technology and System, Ministry of Education of China, School of Optoelectronics,
Beijing Institute of Technology
, Beijing 100081, China
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Hai Wang
Hai Wang
Key Laboratory of Photoelectronic Imaging Technology and System, Ministry of Education of China, School of Optoelectronics,
Beijing Institute of Technology
, Beijing 100081, China
Search for other works by this author on:
Ke Liu
a)
Yanqiu Li
Hai Wang
Key Laboratory of Photoelectronic Imaging Technology and System, Ministry of Education of China, School of Optoelectronics,
Beijing Institute of Technology
, Beijing 100081, China
a)
Author to whom correspondence should be addressed. Electronic mail: [email protected].
Rev. Sci. Instrum. 82, 033105 (2011)
Article history
Received:
December 23 2010
Accepted:
February 07 2011
Citation
Ke Liu, Yanqiu Li, Hai Wang; Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer. Rev. Sci. Instrum. 1 March 2011; 82 (3): 033105. https://doi.org/10.1063/1.3560072
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