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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Main Authors: Anindya Majumdar, Sean J. Kirkpatrick
Format: Article
Language:English
Published: Samara National Research University 2017-09-01
Series:Journal of Biomedical Photonics & Engineering
Subjects:
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.
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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
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