Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surface
We provide a detailed analysis of the three-dimensional cross correlation properties of speckle patterns in the deep Fresnel region scattered by random surface. Basing on Kirchhoff approximation, we first derive the quantitative relationship between the longitudinal correlation function and the frac...
| Main Authors: | , , , , , , , |
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| Formato: | Artigo |
| Idioma: | English |
| Publicado: |
IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Acceso en liña: | https://doi.org/10.1088/1367-2630/aafa36 |
| _version_ | 1827872897537933312 |
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| author | Chunxiang Liu Yu Zhang Qingrui Dong Li Ma Yuqin Zhang Zijun Zhan Xing Li Chuanfu Cheng |
| author_facet | Chunxiang Liu Yu Zhang Qingrui Dong Li Ma Yuqin Zhang Zijun Zhan Xing Li Chuanfu Cheng |
| author_sort | Chunxiang Liu |
| collection | DOAJ |
| description | We provide a detailed analysis of the three-dimensional cross correlation properties of speckle patterns in the deep Fresnel region scattered by random surface. Basing on Kirchhoff approximation, we first derive the quantitative relationship between the longitudinal correlation function and the fractal characteristics of random surface. A novel measuring method is proposed for extracting the roughness exponent of random surface from the longitudinal correlation function of speckles. In experiment, the speckle patterns deviating different distance from the object plane are acquired by a microscopic imaging system. The longitudinal correlation function of the speckles descends with the increase of deviating distance in the form of negative power law. By calculating the Fourier transform of the longitudinal correlation function, we obtain the roughness exponent of random surface by making linear fitting in the large spectrum region. The extracted results are in good agreement with those measured by an atomic force microscopic, which indicate our method has a satisfying accuracy. |
| first_indexed | 2024-03-12T16:30:02Z |
| format | Article |
| id | doaj.art-fb26f6f8ccaf4a77b92f16ccf3d32022 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:30:02Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-fb26f6f8ccaf4a77b92f16ccf3d320222023-08-08T15:34:08ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121101300510.1088/1367-2630/aafa36Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surfaceChunxiang Liu0Yu Zhang1Qingrui Dong2Li Ma3Yuqin Zhang4Zijun Zhan5Xing Li6Chuanfu Cheng7Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaShandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaShandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaShandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaShandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaShandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaShandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaShandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University , Jinan 250014, ChinaWe provide a detailed analysis of the three-dimensional cross correlation properties of speckle patterns in the deep Fresnel region scattered by random surface. Basing on Kirchhoff approximation, we first derive the quantitative relationship between the longitudinal correlation function and the fractal characteristics of random surface. A novel measuring method is proposed for extracting the roughness exponent of random surface from the longitudinal correlation function of speckles. In experiment, the speckle patterns deviating different distance from the object plane are acquired by a microscopic imaging system. The longitudinal correlation function of the speckles descends with the increase of deviating distance in the form of negative power law. By calculating the Fourier transform of the longitudinal correlation function, we obtain the roughness exponent of random surface by making linear fitting in the large spectrum region. The extracted results are in good agreement with those measured by an atomic force microscopic, which indicate our method has a satisfying accuracy.https://doi.org/10.1088/1367-2630/aafa36specklescatteringscattering measurements |
| spellingShingle | Chunxiang Liu Yu Zhang Qingrui Dong Li Ma Yuqin Zhang Zijun Zhan Xing Li Chuanfu Cheng Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surface New Journal of Physics speckle scattering scattering measurements |
| title | Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surface |
| title_full | Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surface |
| title_fullStr | Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surface |
| title_full_unstemmed | Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surface |
| title_short | Three-dimensional correlation of speckles in deep Fresnel region: extracting the roughness exponent of random surface |
| title_sort | three dimensional correlation of speckles in deep fresnel region extracting the roughness exponent of random surface |
| topic | speckle scattering scattering measurements |
| url | https://doi.org/10.1088/1367-2630/aafa36 |
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