Research on Compensation of Nonlinearity in Heterodyne Interferometer

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Abstract:

The demands of nano-measurement and nano-positioning now in research and industries become the challenge for heterodyne interferometer because its nonlinearity often limits the effective resolution. This paper introduces new developed method for compensation of the nonlinearity in heterodyne interferometer and explains what accuracy can be reached with demonstrations figured by the test results. On the basis of theoretical analyses and experimental investigations it shows which exactness can be expected.

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303-310

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October 2010

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] Quenelle R C, Nonlinearity in interferometric measurements, Hewlett-Packard J. 34, (1983).

Google Scholar

[2] Bobroff N, Residual errors in laser interferometry from air turbulence and nonlinearity, 1987 J. Appl Opt. 26, 2676-2682.

DOI: 10.1364/ao.26.002676

Google Scholar

[3] Hou W and Wilkening G, Investigation and compensation of the nonlinearity of heterodyne interferometers, 1992 PRECIS ENG 14(2), 91-98.

DOI: 10.1016/0141-6359(92)90054-z

Google Scholar

[4] Stone JA and Howard LP, A simple technique for observing periodic nonlinearities in Michelson interferometers, 1998 PRECIS ENG 22 (4): 220-232.

DOI: 10.1016/s0141-6359(98)00016-6

Google Scholar

[5] Dubovitsky S, Lay OP and Seidel GJ, Elimination of heterodyne interferometer nonlinearity by carrier phase modulation, 1999 Opt. Soc. B 16, 267-269.

DOI: 10.1364/ol.27.000619

Google Scholar

[6] Lawall J and Kessler E, Michelson Interferometry with 10 pm accuracy, 2000 Rev. Sci. Instrum. 71 (7), 2669-2676.

DOI: 10.1063/1.1150715

Google Scholar

[7] Peggs GN and Yacoot A, A review of recent work in sub-nanometre displacement measurement using optical and X-ray interferometry, 2002 PHILOS T ROY soc A 360 (1794), 15 953-968.

DOI: 10.1098/rsta.2001.0976

Google Scholar

[8] Schmitz TL and Beckwith JF, Acousto-optic displacement-measuring interferometer: a new heterodyne interferometer with Angstrom-level periodic error, 2002 J. Mod. OPTIC 49 (13), 2105-2114.

DOI: 10.1080/09500340210123938

Google Scholar

[9] T L Schmitz et al, First-order periodic error correction: validation for constant and non-constant velocities with variable error magnitudes, 2006 Meas. Sci. Technol. 17 3195-3203.

DOI: 10.1088/0957-0233/17/12/001

Google Scholar

[10] Cosijns SJAG, Haitjema H, Schellekens Phj, Modeling and verifying non-linearities in heterodyne displacement interferometry, 2002 PRECIS ENG 26 (4), 448-455.

DOI: 10.1016/s0141-6359(02)00150-2

Google Scholar

[11] Wu CM, Periodic nonlinearity resulting from ghost reflections in heterodyne interferometry, 2003 J. OPT Commun. 215 17-23.

DOI: 10.1016/s0030-4018(02)02203-4

Google Scholar

[12] Wenmei Hou, Yunbo Zhang and Haijiang Hu, A simple technique for eliminating the nonlinearity of a heterodyne interferometer, Meas. Sci. Technol. 20 ( 2009 ) 105303 (6pp).

DOI: 10.1088/0957-0233/20/10/105303

Google Scholar