Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics
It is demonstrated herein that the use of spatial Poincaré plots provides an efficient means to describe short and long-range correlations in the spatial structure of the measured intensity distribution of scattered coherent fields. The intensity distribution over a row of pixels in single frames of...
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Format: | Article |
Language: | English |
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Samara National Research University
2017-09-01
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Series: | Journal of Biomedical Photonics & Engineering |
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Online Access: | http://jbpe.ssau.ru/index.php/JBPE/article/view/3231 |
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author | Anindya Majumdar Sean J. Kirkpatrick |
author_facet | Anindya Majumdar Sean J. Kirkpatrick |
author_sort | Anindya Majumdar |
collection | DOAJ |
description | It is demonstrated herein that the use of spatial Poincaré plots provides an efficient means to describe short and long-range correlations in the spatial structure of the measured intensity distribution of scattered coherent fields. The intensity distribution over a row of pixels in single frames of speckle fields with varying speckle sizes was considered. Statistical descriptors from the spatial Poincaré plots for these intensity data with variable lags were used to estimate the short and long-term variations in the measured intensities, and from these descriptors, the minimum speckle size in the speckle patterns was estimated. This approach yielded similar results for speckle size estimates as the more standard method of calculating the power spectral density of the intensity pattern and simultaneously provided information on the relative contributions of short-term and long-term variations in the measured intensity to the spatial structure of the scattered fields. |
first_indexed | 2024-12-19T11:23:16Z |
format | Article |
id | doaj.art-a743b2d86f724172b3ac3ce295674e96 |
institution | Directory Open Access Journal |
issn | 2411-2844 |
language | English |
last_indexed | 2024-12-19T11:23:16Z |
publishDate | 2017-09-01 |
publisher | Samara National Research University |
record_format | Article |
series | Journal of Biomedical Photonics & Engineering |
spelling | doaj.art-a743b2d86f724172b3ac3ce295674e962022-12-21T20:23:45ZengSamara National Research UniversityJournal of Biomedical Photonics & Engineering2411-28442017-09-013310.18287/JBPE17.03.0305012948Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order StatisticsAnindya Majumdar0Sean J. Kirkpatrick1Department of Biomedical Engineering, Michigan Technological University, Houghton, USADepartment of Biomedical Engineering, Michigan Technological University, Houghton, USAIt is demonstrated herein that the use of spatial Poincaré plots provides an efficient means to describe short and long-range correlations in the spatial structure of the measured intensity distribution of scattered coherent fields. The intensity distribution over a row of pixels in single frames of speckle fields with varying speckle sizes was considered. Statistical descriptors from the spatial Poincaré plots for these intensity data with variable lags were used to estimate the short and long-term variations in the measured intensities, and from these descriptors, the minimum speckle size in the speckle patterns was estimated. This approach yielded similar results for speckle size estimates as the more standard method of calculating the power spectral density of the intensity pattern and simultaneously provided information on the relative contributions of short-term and long-term variations in the measured intensity to the spatial structure of the scattered fields.http://jbpe.ssau.ru/index.php/JBPE/article/view/3231coherence opticsstatistical opticsspeckleFourier opticssignal processingspeckle imaging |
spellingShingle | Anindya Majumdar Sean J. Kirkpatrick Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics Journal of Biomedical Photonics & Engineering coherence optics statistical optics speckle Fourier optics signal processing speckle imaging |
title | Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics |
title_full | Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics |
title_fullStr | Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics |
title_full_unstemmed | Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics |
title_short | Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics |
title_sort | spatial poincare plots as descriptors of speckle pattern second order statistics |
topic | coherence optics statistical optics speckle Fourier optics signal processing speckle imaging |
url | http://jbpe.ssau.ru/index.php/JBPE/article/view/3231 |
work_keys_str_mv | AT anindyamajumdar spatialpoincareplotsasdescriptorsofspecklepatternsecondorderstatistics AT seanjkirkpatrick spatialpoincareplotsasdescriptorsofspecklepatternsecondorderstatistics |