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1998 Fiscal Year Final Research Report Summary

Spatial Frequency Multiplex Heterodyne Technique for Absolute Measurement of Instantaneous Phase Distribution, and Its Applications

Research Project

Project/Area Number 09650043
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Applied optics/Quantum optical engineering
Research InstitutionThe University of Electro-Communications

Principal Investigator

TAKEDA Mitsuo  The University of Electro-Communications Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (00114926)

Co-Investigator(Kenkyū-buntansha) MIYAMOTO Yoko  The University of Electro-Communications Faculty of Electro-Communications, Research Associate, 電気通信学部, 助手 (50281655)
Project Period (FY) 1997 – 1998
KeywordsHeterodyne Interferometry / Spatial Frequency Multiplexing / 3-D Shape Measurement / Optical Metrology / Phase Unwrapping / Optical Profilometry
Research Abstract

The purpose of this research project is to develop a new scheme of heterodyne profilometry that can perform the instantaneous measurement of the absolute phase distribution of an object with large height discontinuities and/or surface isolations. The main accomplishments are summarized in the following :
1. Invention of Spatial Frequency Multiplex and Scan Method for Absolute Phase Measurement
As an alternative to the conventional temporal frequency scan method using a frequency tunable light source, a spatial frequency scan method was proposed for the absolute phase measurement. By means of spatial frequency multiplexing, the proposed technique can determine the absolute phase from a single fringe pattern, which makes possible the measurement of instantaneous phase distribution.
2. Clarification of the Relation between the Temporal and Spatial Frequency Scan Methods
A unified theory was given to the basic principles of the various absolute phase measurement technique using temporal and spatial frequency scanning methods.
3. Development of New Phase Unwrapping Algorithm
A new phase unwrapping algorithm that eliminates phase singular points was developed and experimentally verified.
4. Experimental Demonstration of the Instantaneous Shape Measurement of Objects in Dynamic Motion
An experimental system was constructed and the validity of the proposed spatial frequency multiplex and scan method was demonstrated for objects in fast motion.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] Mitsuo Takeda: "Frequency multiplex Fourier Transform profilometry:a single-shot threedimensional shape measurement of objects with large height discontinuities"Appl.Opt. 36・22. 5347-5345 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takahiro Aoki: "Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques"Opt.Rev. 5・6. 374-379 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Mitsuo Takeda: "The philosophy of fringes:Analogies and dualilies in fringe generation and analysis"Proc.3rd Int'l Workshop on Automatic Processing of Fringe Pattors. Fringe'97. 17-26 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Mitsuo Takeda: "Recent progress in fringe analysis for optical metrology"Congresso Brasileiro de Metrologia. 126-126 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Takahiro Aoki: "Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phaese gradients obtained by heterodyne techniques"Proc.SPIE,Laser Interferometry IX. 3478. 162-168 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Mitsuo Takeda: "Photonic sensing and metrology using novel liquid crystal devices"Optics and Optelectronics. 2. 1377-1387 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M. Takeda, Q. Gu, M. Kinoshita, H. Takai, and Y. Takahashi: "Frequency-multiplex Fourier-transform profilometry : a single-shot three-dimensional shape measurement of objects with large height discontinuities and/or surface isolations"Appl. Opt.. Vol.36, No.22. 5347-5354 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Aoki, T. Sotomaru, T. Ozawa, T. Komiyama, Y. Miyamoto, and M. Takeda: "Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques"Opt. Rev.. Vol.5, No.6. 374-379 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Takeda: "The philosophy of fringes : Analogies and dualities in fringe generation and analysis"Proc. 3rd International Work-shop on Automatic Processing of Fringe Patterns, Fringe'97, Bremen Germany. (Invited Paper). 17-26 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Takeda: "Recent progress in fringe analysis for optical metrology"Congresso Brasileiro de Metrologia, Petropolis, Brazil. (Invited Paper). 126 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T. Aoki, T. Sotomaru, Y. Miyamoto, and M. Takeda: "Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques"M. Kujawinska, G. M. Brown, and M. Takeda Eds., Laser Interferometry IX : Techniques and Analysis, San Diego, USA, Proc. SPIE. Vol.3478. 162-168 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Takeda and T. Kurokawa: "Photonic sensing and metrology using novel liquid crystal devices"O. P. Najihwan et al. Ed., Optics and Optoelectronics, Vol.2, Narosa Pub. New Delhi. (Invited Paper). 1377-1387 (1998)

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

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Published: 2001-10-23  

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