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Title: Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer

Abstract

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 0.0088{lambda} rms ({lambda}= 632.8 nm).

Authors:
; ;  [1]
  1. Key Laboratory of Photoelectronic Imaging Technology and System, Ministry of Education of China, School of Optoelectronics, Beijing Institute of Technology, Beijing 100081 (China)
Publication Date:
OSTI Identifier:
22068445
Resource Type:
Journal Article
Resource Relation:
Journal Name: Review of Scientific Instruments; Journal Volume: 82; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; ACCURACY; CALIBRATION; DIFFRACTION; INTERFEROMETERS; PHASE SHIFT; POLYNOMIALS; SYMMETRY; VISIBLE RADIATION

Citation Formats

Liu Ke, Li Yanqiu, and Wang Hai. Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer. United States: N. p., 2011. Web. doi:10.1063/1.3560072.
Liu Ke, Li Yanqiu, & Wang Hai. Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer. United States. doi:10.1063/1.3560072.
Liu Ke, Li Yanqiu, and Wang Hai. Tue . "Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer". United States. doi:10.1063/1.3560072.
@article{osti_22068445,
title = {Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer},
author = {Liu Ke and Li Yanqiu and Wang Hai},
abstractNote = {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 0.0088{lambda} rms ({lambda}= 632.8 nm).},
doi = {10.1063/1.3560072},
journal = {Review of Scientific Instruments},
number = 3,
volume = 82,
place = {United States},
year = {Tue Mar 15 00:00:00 EDT 2011},
month = {Tue Mar 15 00:00:00 EDT 2011}
}