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Engineering Applications of Berry's Geometric Phase Information

Research Project

Project/Area Number 11450027
Research Category

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

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) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥12,900,000 (Direct Cost: ¥12,900,000)
Fiscal Year 2000: ¥5,700,000 (Direct Cost: ¥5,700,000)
Fiscal Year 1999: ¥7,200,000 (Direct Cost: ¥7,200,000)
KeywordsBerry Phase / Interferometric Microscope / 3-D Shape Measurement / Optical Metrology / Geometric Phase / Polarimetry / 3次元形状計測 / 光応用計測 / 偏光干渉計測 / スピン・リダイレクション位相
Research Abstract

The purpose of this research project is to exploit Berry's geometric phase information for engineering applications. A novel polarization interference microscope was developed that can visualize local surface inclinations of a microscopic object as a geometric phase image called a photon spin-redirection phase image. The main accomplishments are summarized in the following :
1. Experimental Detection of Photon Spin-redirection Phase
Photon spin-redirection phase was detected by interferometry using circularly polarized light passing through non-planar optical paths, and its relation to the history of the beam propagation direction changes was experimentally clarified.
2. Development of Efficient Algorithm and Its Computer Code for Evaluation of Berry's Phase
An efficient algorithm and computer code were developed for unified analysis and evaluation of spin-redirection and Pancharatnam phases for a beam propagating in a complex optical system.
3. Establishment of Technique for Separation of Berry Phase from Dynamical Phase
A new technique of differential polarization interferometry was developed that enables selective detection of Berry phase by eliminating dynamical phase.
4. Construction and Experimental Demonstration of Berry Phase Interference Microscope
An experimental system was constructed and the validity of the proposed technique was demonstrated by visualizing Berry phase introduced by local surface inclinations of 3-D micro structures on a Si wafer.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (25 results)

All Other

All Publications (25 results)

  • [Publications] A.V.Tavrov: "Method to evaluate the geometrical spin-redirection phase for a nonplanar ray"J.Opt.Soc.Am.A. 16. 919-921 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov: "Generalized algorithm for the unified analysis and simultaneous evaluation of geometrical spin-redirection and Pancharatnam phase in a complex interferometric system"J.Opt.Soc.Am.A. 17. 154-161 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov: "Interferometric microimaging based on geometrical spin-redirection phase"Opt.Lett.. 25. 460-462 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov: "Efficient algorithm for the evaluation of geometric shift of polarization in interferometric and polarimetric systems"Proc.SPIE. 3477. 347-357 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov: "Visualization of Berry spin-redirection phase in polarization interferometer with geometric shear"Proc.SPIE. 4101. 12-20 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov: "Geometrical spin redirection phase : ray tracing and imaging"Extended Abstract, Optics Japan 2000. 127-128 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Tavrov, T.Kawabata, Y.Miyamoto, M.Takeda, and V.V.Andreev: "Method to evaluate the geometrical spin-redirection phase for a non-planar ray"J.Opt.Soc.Am.A. Vol.16, No.4. 919-921 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov, Y.Miyamoto, T.Kawabata, M.Takeda, and V.V.Andreev: "Generalized algorithm for the unified analysis and simultaneous evaluation of geometrical spin-redirection and Pancharatnam phase in a complex interferometric system"J.Opt.Soc.Am.A. Vol.17, No.1. 154-161 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov, Y.Miyamoto, T.Kawabata, M.Takeda, and V.V.Andreev: "Interferometric microimaging based on geometrical spin-redirection phase"Opt.Lett.. Vol.25, No.7. 460-462 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Tavrov, Y.Miyamoto, T.Kawabata, M.Takeda, and V.V.Andreev: "Efficient algorithm for the evaluation of geometric shift of polarization in interferometric and polarimetric systems"M.Kujawinska and M.Takeda Eds., Proc.SPIE, Interferometry '99, Techniques and Technologies, (Warsaw, Poland). Vol.3477. 347-357 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov, Y.Miyamoto, T.Kawabata, M.Takeda, and V.A.Andreev: "Imaging with Berry phase in polarization interferometer with geometric shear"M.Kujawinska G.M.Brown, and M.Takeda Eds., Laser Interferometry X : Techniques and Analysis, Proc.SPIE (San Diego, USA). Vol.4101. 12-20 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov, Y.Miyamoto, T.Kawabata, M.Takeda, and V.V.Andreev: "Interferometric microimaging based on geometrical spin-redirection phase"Extended Abstrats, Optics Japan'99. 403-404 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] N.Kinoshita, A.Tavrov, Y.Miyamto, and M.Takeda: "Detection of geometrical spin redirection phase by polarimetric interferometry"Extended Abstract, Optics Japan'99. 401-402 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Tavrov, Y.Miyamato, T.Kawabata, and M.Takeda: "Geometrical spin redirection phase : ray tracing and imaging"Extended Abstract, Optics Japan 2000. 127-128 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.V.Tavrov: "Method to evaluate the geometrical spin-redirection phase for a nonplanar ray"J.Opt.Soc.Am.A. 16. 919-921 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.V.Tavrov: "Generalized algorithm for the unified analysis and simultaneous evaluation of geometrical spin-redirection and Pancharatnam phase in a complex interferometric system"J.Opt.Soc.Am.A. 17. 154-161 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.V.Tavrov: "Interferometric microimaging based on geometrical spin-redirection phase"Opt.Lett.. 25. 460-462 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.V.Tavrov: "Efficient algorithm for the evaluation of geometric shift of polarization in interferometric and polarimetric systems"Proc.SPIE. 3477. 347-357 (1999)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.V.Tavrov: "Visualization of Berry spin-redirection phase in polarization interferometer with geometric shear"Proc.SPIE. 4101. 12-20 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.V.Tavrov: "Geometrical spin redirection phase : ray tracing and imaging"Extended Abstract, Optics Japan 2000. 127-128 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Alexander V.Tavrov: "Method to evaluate the geometrical spin-redirection phase for a nonplanar ray"Journal of the Optical Society of America. Vol.16 No.4. 919-921 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Alexander V.Tavrov: "Generalized algorithm for the unified analysis and simultaneous evaluation of geometrical spin-rediretion and Pancharatnam phase"Journal of the Optical Society of America. Vol.17 No.1. 154-161 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Alexander V.Tavrov: "Efficient algorithm for the evalution of geometric shift of polarization in interferometric and polarimetric systems"Proceedings of SPIE, Interferometry '99. Vol.3477. 347-357 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Alexander V.Tavrov: "Interferometric microimaging based on geometrical spin-redirection phase"Extended Abstracts, Optics Japan '99. 403-404 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 木下 智幸: "幾何学的スピンリダイレクション位相の偏光干渉計測法"Optics Japan '99 講演予稿集. 401-402 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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