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The optical near-field speckles and their first order statistics on the basis of the integral equations of electromagnetic field
引用本文:CHENG Chuanfu1,2,SONG Hongsheng2,LIU Chunxiang2,REN Xiaorong2,ZHANG Ningyu3,TENG Shuyun1 & XU Zhizhan1 1. Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,P. O. Box 800-211,Shanghai 201800,China, 2. Department of Physics,Shandong Normal University,Jinan 250014,China, 3. Shandong Institute of Architecture and Engineering,Jinan 250014,China. The optical near-field speckles and their first order statistics on the basis of the integral equations of electromagnetic field[J]. 中国科学G辑(英文版), 2004, 47(3): 365-380. DOI: 10.1360/ 03yw0166
作者姓名:CHENG Chuanfu1  2  SONG Hongsheng2  LIU Chunxiang2  REN Xiaorong2  ZHANG Ningyu3  TENG Shuyun1 & XU Zhizhan1 1. Shanghai Institute of Optics and Fine Mechanics  Chinese Academy of Sciences  P. O. Box 800-211  Shanghai 201800  China   2. Department of Physics  Shandong Normal University  Jinan 250014  China   3. Shandong Institute of Architecture and Engineering  Jinan 250014  China
作者单位:CHENG Chuanfu1,2,SONG Hongsheng2,LIU Chunxiang2,REN Xiaorong2,ZHANG Ningyu3,TENG Shuyun1 & XU Zhizhan1 1. Shanghai Institute of Optics and Fine Mechanics,Chinese Academy of Sciences,P. O. Box 800-211,Shanghai 201800,China; 2. Department of Physics,Shandong Normal University,Jinan 250014,China; 3. Shandong Institute of Architecture and Engineering,Jinan 250014,China
基金项目:国家自然科学基金,国家重点基础研究发展计划(973计划)
摘    要:Speckle fields are the random light wave distributions produced when the light fields are scattered from random surfaces or a random medium. They appear in many optical phenomena that are related to light propagations[1,2] and have found wide appli-cations in a variety of scientific and technical fields. The examples of the recent impor-tant applications of speckles include the analysis of the movement of the granules[3], the three-dimensional imaging for the microstructures of metal nanocryst…

关 键 词:speckle   near-field optics   first order statistics   Green抯 function.

The optical near-field speckles and their first order statistics on the basis of the integral equations of electromagnetic field
CHENG Chuanfu,Song Hongsheng,Liu Chunxiang,REN Xiaorong,ZHANG Ningyu,Teng Shuyun,XU Zhizhan. The optical near-field speckles and their first order statistics on the basis of the integral equations of electromagnetic field[J]. Science in China(Physics Astronomy), 2004, 47(3): 365-380. DOI: 10.1360/ 03yw0166
Authors:CHENG Chuanfu  Song Hongsheng  Liu Chunxiang  REN Xiaorong  ZHANG Ningyu  Teng Shuyun  XU Zhizhan
Affiliation:1. Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, P. O. Box 800-211, Shanghai 201800, China;Department of Physics, Shandong Normal University, Jinan 250014, China
2. Department of Physics, Shandong Normal University, Jinan 250014, China
3. Shandong Institute of Architecture and Engineering, Jinan 250014, China
4. Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, P. O. Box 800-211, Shanghai 201800, China
Abstract:From Helmholtz equation of the harmonic electromagnetic waves, the integral equations of the light field at the medium boundaries are obtained by use of the Green's theorem and are discretized into linear equation set with the values of the light field and its derivative as the unknowns. On solving the linear equation set, we realize the rigorous computations of the light fields at the boundaries. Then the intensities of the light waves scattered by the random self-affine fractal surfaces in the optical near-field are calculated, and the propagation characteristics, the evolutions of the contrast and the intensity probability density function of the near-field speckles are studied in detail. The near-field speckles are much different from the conventional speckles in the diffraction regions and in the imaging systems. There are obvious local fluctuations in the intensity distributions of the near-field speckles and such fluctuations disappear after propagating a distance of one wavelength from the medium surfaces. For the random surfaces with smaller lateral correlation lengths, the speckle contrasts approach the saturation values and the speckle fields approach Gaussian distribution within the near-field, while for the random surfaces with larger lateral correlation lengths, such evolutions become comparatively slow.
Keywords:speckle  near-field optics  first order statistics  Green's function
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