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. 2023 May 26;13:8549. doi: 10.1038/s41598-023-35559-w

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© The Author(s) 2023

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Time history speckle pattern (THSP), formed by tracking 200 random points throughout a collection of 100 speckle patterns, of the sample at (a) $t = 10 min$ , (b) $t = 20 min$ , and (c) $t = 30 min$ after the experiment starts. (d–f) 3D plot and 2D map of COM matrix associated with the THSP matrices of controlling experiment (a–c) every 10 min after the experiment starts. Reference level and comparison level show intensity levels of i and j in Eq. (1), respectively. (g) Average inetia moment over the THSPs associated with the sample in controlling experiment as a function of time. (h) Average kurtosis and skewness of 100 speckle pattern of the controlling experiment as a function of time.