• Chinese Optics Letters
  • Vol. 13, Issue Suppl., S22206 (2015)
Ruigang Li*
Author Affiliations
  • Key Laboratory of Optical System Advanced Manufacturing Technology, Changchun Institute of Optics, Fine Mechanics, and Physics, Chinese Academy of Sciences, Changchun 130033, China
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    DOI: 10.3788/COL201513.S22206 Cite this Article Set citation alerts
    Ruigang Li. Measurement method for the eccentricity of an off-axis asphere with a laser tracker[J]. Chinese Optics Letters, 2015, 13(Suppl.): S22206 Copy Citation Text show less

    Abstract

    In this Letter, we present a method to measure the eccentricity of an off-axis asphere using a laser tracker during optical null testing. We first adjust the optical path of the null testing, and then probe some necessary reference surface on the compensator or the off-axis mirror’s body with a laser tracker. Next, using the collected data to process, construct, build the coordinate system, solve, and so on, we obtain the eccentricity directly through comparing the central point of the asphere and the tested optical axis. A measurement experiment is conducted with a circular off-axis aspherical mirror; the result shows that the measurement accuracy can reach 0.1859 mm, 6.2% of its tolerance belt.
    Z=cS21+[1(K+1)c2S2]1/2+A1S4+A2S6+A3S8+A4S10+,(1)

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    T=[100001000010TxTyTz1].(2)

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    R=[10000cosαsinα00sinαcosα00001]·[cosβ0sinβ00100sinβ0cosβ00001]·[cosγsinγ00sinγcosγ0000100001],(3)

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    [xyz1]=[xyz1]·T·R.(4)

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    Ruigang Li. Measurement method for the eccentricity of an off-axis asphere with a laser tracker[J]. Chinese Optics Letters, 2015, 13(Suppl.): S22206
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