Spatial Poincaré Plots as Descriptors of Speckle Pattern Second-Order Statistics

Anindya Majumdar
Department of Biomedical Engineering, Michigan Technological University, Houghton, USA

Sean J. Kirkpatrick (Login required)
Department of Biomedical Engineering, Michigan Technological University, Houghton, USA

Paper #3231 received 12 Jul 2017; revised manuscript received 19 Sep 2017; accepted for publication 19 Sep 2017; published online 30 Sep 2017.

DOI: 10.18287/JBPE17.03.030501


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.


coherence optics; statistical optics; speckle; Fourier optics; signal processing; speckle imaging

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