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1993 Fiscal Year Final Research Report Summary

DIFFERENTIAL INTERFEROMETRY

Research Project

Project/Area Number 04452100
Research Category

Grant-in-Aid for General Scientific Research (B)

Allocation TypeSingle-year Grants
Research Field 物理計測・光学
Research InstitutionCHIBA UNIVERSITY

Principal Investigator

OKADA Katsuyuki  Chiba University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (00160672)

Co-Investigator(Kenkyū-buntansha) HONDA Toshio  Chiba University, Faculty of Engineering, Professor, 工学部, 教授 (10016503)
Project Period (FY) 1992 – 1993
KeywordsInterferometry / Precision Measurement / Differential Measurement / Zone Plate Interferometer / Absolute Measurement / Curvature Measurement / Sphecial Mirror
Research Abstract

Interferometry is a typical technique for high precision measurement of mirror shapes, but one can only get the defference between the object and the reference wavefronts, rather than the absolute shape. In this research, we propose differential interferometry to get absolute shapes of the mirrors.
The method consists of the measurement of two phase distributions before and after shifting the object, and taking the difference of them to subtract out the influence of the reference phase. We used a zone plate interferometer for the measurement to reduce the influences from vibration and air turbulence, and employed an electro-optical phase modulator to change the reference phase for the phase shifting technique. The following results are obtained in the research.
1.To verify this technique experimentally, it is applied in the measurement of the radius of a concave mirror, and we propose a new optical system with an additional interferometer to measure the inclination of the stage, and an equation to reduce the error due to the inclination.
2.We compare the object shifting direction, perpendicular to and parallel to the optical axis of the interferometer, and achieve better accuracy by the latter technique.
3.A technique to measure a parabolic mirror's shape is proposed, in which the mirror is rotated to the center of the curvature, instead of linear translation.
4.Experiments show the accuracy of the measurement of a concave mirror's radius is about 0.1% for a mirror of 1m radius and 100mm diameter.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] Katsuyuki Okada: ""Large plain surface measurement by connecting separately measured interferograms"" Proceedings of the SPIE. 1983. 953-954 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Masashi Otsubo: "Measurement of large plane surface shapes by connecting small-aperture interferograms" Optical Engineering. 33. 608-613 (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 本田 捷夫: "「すばる」望遠鏡の光学的測定" 精密工学会誌. 58. 37-40 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 川端 茂樹: "干渉計測における位相計算法の比較" 光学シンポジウム'93論文集. 93. 3-4 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Katsuyuki Okada: "Aberration measurement of a graded index micro cylindrical lens from the intensity distribution of a passing light beam" Optics Communications. 95. 5-10 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 劉 志強: "干渉計による球面半径の測定-誤差分析-" 光学連合シンポジウム'93論文集. 93. 9-10 (1993)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z-Q Liu: "Measurement of radius of concave mirror by zone plate interferometer" International Commission for Optics Topical Meeting '94 Extended Abstract. (in press). (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 劉 志強: "干渉計による球面半径の絶対計測" 光計測シンポジウム'94論文集. (in press). (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Z-Q Liu: "Measurement of radius of concave mirrors by a zone plate intereferometer" Optics Review. (in press). (1994)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Katsuyuki Okada: ""Large plain surface measurement by connecting separately measured interferograms"" Proceedings of the SPIE. Vol.1983. 953-954 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Masashi Otsubo: ""Measurement of large plane surface shapes by connecting small-aperture interferograms"" Optical Engineering. 33. 608-613 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Katsuyuki Okada: ""Aberration measurement of a graded index micro cylindrical lens from the intensity distribution of a passing light beam"" Optics Communications. 95. 5-10 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z-Q Liu: ""Measurement of radius of concave mirror by zone plate interferometer"" Proceedings of ICO'94. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z-Q Liu: ""Measurement of radius of concave mirror by a zone plate interferometer"" Optics Review, 1. (in press).

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1995-03-27  

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