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

通过光散射产生分形光波并分析其统计特性

基本信息

批准号：
13650043
负责人：
UOZUMI Jun
金额：
$ 2.18万
依托单位：
HOKKAI-GAKUEN UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2002
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13650043/
关键词：
Light 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

项目摘要

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 regionsAssuming 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 phaseClipped 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 beamsIt was shown that nondiffracting fractal beams can be generated by employing modified optical configurations for nondiffracting beams.

最近，它是由首席研究员的小组表明，随机光场的分形强度分布可以产生在夫琅和费区的平面漫射。本研究旨在通过开发在Fraunhofer区域以外的区域生成此类场的方法以及分析此类场的统计特性来扩展这项研究。不同区域产生的分形散斑特性假设漫射体受相干光照射，光强分布服从指数为-D的幂函数，对0 < D < 3进行了计算机模拟，发现当2 D < 3时，光强相关函数呈现非幂律行为，与理论预测一致。0 < D <1和1 < D <2的情况一样，强度关联也是幂律的.理论和实验还表明，在菲涅耳区和像面以及夫琅和费区都可以产生分形散斑.通过计算机模拟研究了分形散斑的剪切强度和相位剪切强度的统计特性，得到了由剪切强度估计原始分形性的一些基本知识。对分形散斑的相位统计进行了研究，结果表明分形散斑具有分形性.无衍射分形光束的产生研究表明，采用改进的无衍射光束光学结构，可以产生无衍射分形光束。