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Related Experiment Video

Updated: Feb 22, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

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Published on: October 11, 2016

A metric for characterization of two-dimensional spatial coherence.

Daniel C Brown¹, Cale F Brownstead¹, Thomas B Gabrielson¹

¹Applied Research Laboratory, The Pennsylvania State University, P.O. Box 30, State College, Pennsylvania 16804, USA dan.brown@psu.edu, cfb102@psu.edu, tbg3@psu.edu.

The Journal of the Acoustical Society of America

|October 2, 2017

Summary

A new metric quantifies spatial coherence in scattered fields using a bivariate Gaussian fit. This method accurately measures coherence lengths and surface orientation from scattering data.

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Area of Science:

Physics
Optics
Signal Processing

Background:

Characterizing the spatial coherence of scattered fields is crucial for understanding wave propagation and interaction with complex media.
Existing methods may lack robustness or comprehensive analysis of two-dimensional coherence properties.

Purpose of the Study:

To develop and validate a novel quantitative metric for assessing two-dimensional spatial coherence of scattered fields.
To establish a method for robustly fitting coherence surfaces and extracting key parameters.

Main Methods:

A metric based on fitting a bivariate Gaussian function to measured two-dimensional coherence surfaces was developed.
Eigendecomposition of the bivariate Gaussian covariance matrix was employed to determine surface orientation and coherence lengths.
The metric was applied to experimental normal-incidence scattering data.

Main Results:

The bivariate Gaussian fit demonstrated robustness across varying coherence lengths and surface asymmetries.
The eigendecomposition successfully defined surface orientation and principal coherence lengths.
The metric provided quantitative coherence measures for field trial data.

Conclusions:

The developed metric offers a reliable tool for quantifying two-dimensional spatial coherence.
This approach enhances the analysis of scattered fields, particularly in complex environments.
The findings are applicable to interpreting scattering data from field experiments.