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Generation of fractal optical waves by means of light scattering and analysis of their statistical properties

Research Project

Project/Area Number 13650043
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Applied optics/Quantum optical engineering
Research InstitutionHOKKAI-GAKUEN UNIVERSITY

Principal Investigator

UOZUMI Jun  Hokkai-Gakuen University, Faculty of Engineering, Professor, 工学部, 教授 (50184982)

Project Period (FY) 2001 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2001: ¥2,600,000 (Direct Cost: ¥2,600,000)
KeywordsLight scattering / Fractal speckle / Power law / Speckle phase / Clipping statistics / Nondiffracting speckle / Self-affin fractal / Fractal dimension / 像面スペックル / フレネル回折 / 非整数ブラウン運動
Research Abstract

Recently, it was shown by the head investigator's group that random optical fields with fractal intensity distributions can be generated in the Fraunhofer region of a plane diffuser. The present study aims at extending this research by developing methods for generating such fields in areas other than the Fraunhofer region, and by analyzing statistical properties of such fields.
1. Properties of fractal speckles produced in various regions
Assuming that a diffuser is illuminated by coherent light with the intensity distribution following a power function with the exponent -D, computer simulations were conducted for 0 < D < 3, and revealed that the intensity correlation function shows non-power-law behaviors for 2 【less than or equal】 D < 3, agreeing with the theoretical predictions, and that power-law intensity correlations appear for 0 < D 【less than or equal】 1 as is in the case of 1 < D < 2.
It was also shown theoretically and experimentally that fractal speckles can be generated in the Fresnel region and image plane as well as in the Fraunhofer region of the diffuser.
2. Statistics of the clipped intensity and the phase
Clipped intensity of fractal speckles was investigated by computer simulations and some fundamental knowledge for estimating the original fractality from the clipped intensity was obtained. Phase statistics of fractal speckles was also investigated, and was shown to have fractality.
3. Generation of nondiffracting fractal beams
It was shown that nondiffracting fractal beams can be generated by employing modified optical configurations for nondiffracting beams.

Report

(3 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] J.Uozumi: "Light scattering from fractal random media"Proc. SPIE. 4242. 13-24 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J.Uozumi: "Random optical fields with long spatial correlations"Technical Digest of the Fourth Japan-Finland Joint Symposium on Optics in Engineering. 13-14 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 亀山知子: "フラクタル的光散乱場における位相の統計的特性"第6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. 17-18 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] I.A.Popov: "The study of fractal structure of ground glass surface by means of angle resolved scattering of light"Optics Communications. 203. 191-196 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J.Uozumi: "Fractality of the optical fields scattered by power-law-illuminated diffusers"Proc. SPIE. 4607. 257-267 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J.Uozumi: "Generation and properties of laser speckle with long correlation tails"Proc. SPIE. 4705. 95-106 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J.Uozumi: "Phase statistics of the speckle produced by power-law illuminated diffusers"Proc. SPIE. 4829. 603-604 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 三橋 亮: "フラクタル的非回折性ビーム"第7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. 3-4 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 小川忠伸: "スペックル位相のフラクタル的特性の粗面粗さ依存性"第7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. 5-6 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 船水英希: "フラクタル的光散乱強度分布のマルチフラクタル解析"第7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. 7-8 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J. Uozumi: "Light scattering from fractal random media"Proceedings of SPIE. 4242. 13-24 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J. Uozumi: "Random optical fields with long spatial correlations"Technical Digest of the Fourth Japan-Finland Joint Symposium on Optics in Engineering,. 13-14 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Kameyama and J. Uozumi: "Statistical properties of the phase of scattered light fields with fractal properties (in Japanese)"Proceedings of the 6th IEICE Hokkaido Internet Symposium. 17-18 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] I. A. Popov, L. A. Glushchenko and J. Uozumi: "The study of fractal structure of ground glass surface by means of angle resolved scattering of light"Optics Communications. 203(3-6). 191-196 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J. Uozumi: "Fractality of the optical fields scattered by power-law-illuminated diffusers"Proceedings of SPIE. 4607. 257-267 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J. Uozumi: "Generation and properties of laser speckle with long correlation tails"Proceedings of SPIE. 4705. 95-106 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J. Uozumi: "Phase statistics of the speckle produced by power-law illuminated diffusers"Proceedings of SPIE. 4829. 603-604 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] R. Mitsuhashi and J. Uozumi: "Fractal nondiffracting beams (in Japanese)"Proceedings of the 7th IEICE Hokkaido Internet Symposium. 3-4 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] T. Ogawa and J. Uozumi: "Surface roughness dependence of the fractality of speckle phases (in Japanese)"Proceedings of the 7th IEICE Hokkaido Internet Symposium. 5-6 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] H. Funamizu and J. Uozumi: "Multifractal analysis of scattered light fields with fractal properties (in Japanese)"Proceedings of the 7th IEICE Hokkaido Internet Symposium. 7-8 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] J.Uozumi: "Fractality of the optical fields scattered by power-law-illuminated diffusers"Proc. SPIE. 4607. 257-267 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] J.Uozumi: "Generation and properties of laser speckle with long correlation tails"Proc. SPIE. 4705. 95-106 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] J.Uozumi: "Phase statistics of the speckle produced by power-law illuminated diffusers"Proc. SPIE. 4829. 603-604 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 三橋 亮: "フラクタル的非回折性ビーム"第7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. 3-4 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 小川忠伸: "スペックル位相のフラクタル的特性の粗面粗さ依存性"第7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. 5-6 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 船水英希: "フラクタル的光散乱強度分布のマルチフラクタル解析"第7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. 7-8 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] J.Uozumi: "Light scattering from fractal random media"Proc.SPIE. 4242. 13-24 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] J.Uozumi: "Random optical fields with long spatial correlations"Technical Digest of the Fourth Japan-Finland Joint Symposium on Optics in Engineering. 13-14 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 亀山知子: "フラクタル的光散乱場における位相の統計的特性"第6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. 17-18 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] I.A.Popov: "The study of fractal structure of ground glass surface by means of angle resolved scattering of light"Optics Communications. (to be published). (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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