To avoid the influence from sphericity error of spherical mirror on the results in bearing ball measurement with laser interferometry
a Tyman-Green interference method by a plane reference mirror instead of a spherical mirror for the spherical surface error measurement of bearings ball is proposed and a prototype interferometer is developed. Following phase shifting interferometry principle
the interferometer system controls piezoelectric ceramic transducer phase shifter to move the plane reference mirror to obtain more interference images. The images are captured by charge-coupled device camera and then the spherical surface error is evaluated by phase unwrapping. Zernike polynomials fitting is chosen to eliminate the alignment errors from out-off-focus. Experiments verify its effectiveness and robustness
and the root mean square difference of results between surface error measurement system and ZYGO interferometer system is 0.004λ while the difference of peak-to-peak value is 0.001 6λ between the two systems. The method can be expected to apply to the other fields of roundness measurement.
关键词
Keywords
references
LIPA J A, SIAADLL G J. High precision measurement of gyro rotor sphericity [J]. Precision Engineering, 1980, 2(3): 123-128.
DENG Zhongwen, LIU Zhigang, TAO Long, et al. Novel frequency scanned interferometry absolute distance measurement by tunable external-cavity diode laser [J]. Journal of Xi'an Jiaotong University, 2013, 47(5): 104-109.
PENG Jianhua, SHEN Yibing, WANG Kaiwei, et al. Error impact analysis and experimental research for absolute testing of spherical surfaces [J]. Infrared and Laser Engineering, 2012, 41(5): 1345-1350.
WANG Daodang, YANG Yongying, CHEN Xiaoyu, et al. Accurate calibration of misalignment in high-precision spherical surface testing [J]. Nanotechnology and Precision Engineering, 2013, 11(1): 20-26.
MANTRAVADI M V, MALACARA D. Newton, Fizeau, and Haidinger interferometers [M]. Hoboken, USA: John Wiley Sons Inc., 2006: 1-45.
XU Jiancheng, SUN Lili, LI Yanli, et al. Principal component analysis of multiple-beam Fizeau interferograms with random phase shifts [J]. Optics Express, 2011, 19(15): 14464-14472.
XU Jiancheng, XU Qiao, CHAI Liqun, et al. A new fringe-pattern preprocess method based on median spin filtering [J]. High Power Laser Particle Beams, 2006, 18(1): 69-72.
GODLSTEIN R M, ZEBKER H A, WERNER C L. Satellite radar interferometry: two-dimensional phase unwrapping [J]. Radio Science, 1988, 23(4): 713-720.
FLYNN T J. Two-dimensional phase unwrapping with minimum weighted discontinuity [J]. Journal of the Optical Society of America: A, 1997, 14(10): 2692-2701.
GHIGLIA D C, PRITT M D. Two-dimensional phase unwrapping theory algorithms and software [M]. New York, USA: John Wiley Sons Inc., 1998.
WANG J Y, SILVA D E. Wave-front interpretation with Zernike polynomials [J]. Applied Optics, 1980, 19(9): 1510-1518.