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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 (1993)  Chiba University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (00160672)

辻内 順平 (1992)  千葉大学, 工学部, 教授 (90016254)

Co-Investigator(Kenkyū-buntansha) HONDA Toshio  Chiba University, Faculty of Engineering, Professor, 工学部, 教授 (10016503)
岡田 勝行  千葉大学, 工学部, 助教授 (00160672)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥6,900,000 (Direct Cost: ¥6,900,000)
Fiscal Year 1993: ¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1992: ¥4,600,000 (Direct Cost: ¥4,600,000)
KeywordsInterferometry / Precision Measurement / Differential Measurement / Zone Plate Interferometer / Absolute Measurement / Curvature Measurement / Sphecial Mirror / 絶対計測
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.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [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
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Katsuyuki Okada: ""Large plain surface measurement by connecting separately measured interferograms"" Proceedings of the SPIE. 1983. 953-954 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Masashi Otsubo: "Measurement of large plane surface shapes by connecting small-aperture interferograms" Optical Engineering. 33. 608-613 (1994)

    • Related Report
      1993 Annual Research Report
  • [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)

    • Related Report
      1993 Annual Research Report
  • [Publications] 川端 茂樹: "干渉計測における位相計算法の比較" 光学連合シンポジウム'93論文集. 93. 3-4 (1993)

    • Related Report
      1993 Annual Research Report
  • [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)

    • Related Report
      1993 Annual Research Report
  • [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)

    • Related Report
      1993 Annual Research Report
  • [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)

    • Related Report
      1993 Annual Research Report
  • [Publications] 劉 志強: "干渉計による球面半径の絶対計測" 光計測連合シンポジウム'94論文集. (in press). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Z-Q Liu: "Measurement of radius of concave mirrors by a zone plate interferometer" Optics Review. (in press). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Masashi Otsubo,Katsuyuki Okada and Jumpei Teujiuchi: ""Measurement of large plane surface shape with interferometric aperture synthesis"" Technical digest of the Symposium on Optical Fabrication,'92. 52 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Z.Q.Liu,Katsuyuki Okada and Jumpei Tsujiuchi: ""Measurement of radius of concave mirror by zone-plate interferometer"" Technical digest of the Symposium on Optical Fabrication,'92. 53 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Katsuyuki Okada and Jumpei Tsujiuchi: ""Aberration measurement of a graded index micro cylindrical lens from the intensity distribution of a passing light beam"" Optics Communications. 95. 5-10 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Masashi Otsubo,Katsuyuki Okada and Jumpei Tsujiuchi: ""Measurement of large plane surface shape with interferometric aperture synthesis"" Proceedings of SPIE. 1720. 444-447 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Z.Q.Liu,Katsuyuki Okada and Jumpei Tsujiuchi: ""Measurement of radius of concave mirror by zone-plate interferometer"" Proceedings of SPIE. 1720. 448-451 (1992)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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