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1996 Fiscal Year Final Research Report Summary

Analysis of the weak localization of photons in fractal aggregated structures and its applications

Research Project

Project/Area Number 07832001
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section時限
Research Field 非線形科学
Research InstitutionHOKKAIDO UNIVERSITY

Principal Investigator

UOZUMI Jun  Hokkaido University, Research Institute for Electronic Science, Associate Professor, 電子科学研究所, 助教授 (50184982)

Co-Investigator(Kenkyū-buntansha) OKAMOTO Takashi  Hokkaido University, Research Institute for Electronic Science, Research Associa, 電子科学研究所, 助手 (40204036)
Project Period (FY) 1995 – 1996
KeywordsFractal aggregates / Weak localization / Enhanced backscattering / Optical multiple scattering / Fractal dimension / Dimension measurement
Research Abstract

By means of optical experiments and computer simulations on the basis of two different models, the following properties were revealed for the weak localization of photons in fractal aggregated structures.
1. In one simulation, scattering of photons were traced in fractal media with fractal dimension 1<D<2 generated by means of the Weierstrass function in a two-dimensional plane. It is found that the coherent cone in the enhanced backscattering light obeys approximately a power law with the exponent of 1-D.Simulated probability density of the scattering free path was approximately equal to the theoretical density. A self-similar algorithm was developed to extend the simulation to the three-dimensional space.
2. In the other simulation, the scattering process was simulated by calculating a free path by using random numbers at each scattering event. In this simulation, the fractality of the media was assumed only in the probability density of the free path, which we derived analytically in this study. This simulation revealed that the shape of the coherent cone depends on the fractal dimension of the media, and that this dependence is different for different polarization components of the detected light.
3. The optical experiment using the fractal aggregates produced from the aqueous solution of PMMA particles showed the shape of the coherent backscattered cone to obey the power law with fractional exponent given approximately by 1-D.It is also found that the height of the coherent cone depends on the average size of fractal clusters of the media.

  • Research Products

    (14 results)

All Other

All Publications (14 results)

  • [Publications] K.Uno: "Correlation properties of speckles produced by diffractal-illunimated diffusers" Optics Communications. 124. 16-22 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Dogariu: "Enhancement factor in the light backscattered by fractal aggregated media" Optical Review. 3. 71-82 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Okamoto: "Enhanced backscattering of partially coherent light" Optics Letters. 21. 369-371 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Ishii: "Weak localization of light backscattered multiply from fractal media" Proceedings of SPIE. 2778. 292-293 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Sangu: "Interference effects of multiply-scattered light in strong scattering media" Proceedings of SPIE. 2778. 383-384 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 高崎洋: "フラクタル媒質による強調後方散乱の自己相似アルゴリズムによる解析" 第1回電子情報通信学会北海道支部インターネットシンポジウム論文集. 70-75 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Uozumi: "Optical Storage and Retrieval-Memory, Neural Networks, and Fractals" Marcel Dekker, 325 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Ono, J.Uozumi and T.Asakura: "Correlation properties of speckles produced by diffractal-illuminated diffusers" Optics Communications. 124. 16-22 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Dogariu, J.Uozumi and T.Asakura: "Enhancement factor in the light backscattered by fractal aggregated media" Optical Review. 3. 71-82 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Okamoto and T.Asakura: "Enhanced backscattering of partially coherent light" Optics Letters. 21. 369-371 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Ishii, T.Iwai, J.Uozumi and T.Asakura: "Weak localization of light backscattered multiply from fractal media" Proceedings of SPIE. 2778. 292-293 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Sangu, T.Okamoto and T.asakura: "Interference effects of multiply-scattered light in strong scattering media" Proceedings of SPIE. 2778. 383-384 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Takasaki, J.Uozumi and T.Asakura: "Analysis of enhanced backscattering from fractal media by means of the self-similar algorithm" Proceedings of the 1st IEICE Hokkaido Internet Symposium. 70-75 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Uozumi and T.Asakura: Optical Fractals Optical Storage and Retrieval-Memory, Neural Networks, and Fractals, ed.F.T.S.Yu and S.Jutamulia. Marcel Dekker, New York, 283-320 (1996)

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

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Published: 1999-03-09  

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