Correlation between the fractal dimension of surface texture and its laser speckles as the basis for a non-contact method for analyzing ceramic materials

Authors

  • Andrii Yakunov Taras Shevchenko National University of Kyiv
  • Volodymyr Dibrov Taras Shevchenko National University of Kyiv
  • Artem Sachko Ukrainian Physical and Mathematical Lyceum, Kyiv, Ukraine

DOI:

https://doi.org/10.17721/1812-5409.2025/2.35

Keywords:

optical microscopy, laser speckles, microrelief, fractal dimension, ceramic surface, layered ceramic system

Abstract

A quantitative relationship between the fractal dimension of the ceramic surface texture obtained by optical microscopy and the fractal dimension of the corresponding laser speckle field was studied. A low sensitivity of speckle analysis for defocus has been identified, which simplifies the control procedure. Analysis of homogeneous samples revealed statistically significant differences in the fractal characteristics of the images of the two types of ceramics, confirming the possibility of using them to identify materials and detect defects. In the case of a layered ceramic sample, fractal analysis of speckle paintings clearly reflected its structure, indicating the potential of the method for non-destructive layering and homogeneity testing. The demonstrated robustness of the approach highlights its metrological reliability and opens up prospects for its integration into standardized schemes of quality control, ensuring consistent and reproducible assessment of structural integrity in ceramic manufacturing. Prospects for further research are associated with the development of simplified optical speckle analysis schemes for the creation of portable systems for express quality control of ceramic products.

Pages of the article in the issue: 227 - 231

Language of the article: English

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Yakunov, A., & Sachko, A. (2024). Application of texture analysis to study the relationship between surface microrelief and laser speckles. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, 79(2), 100–103. https://doi.org/https://doi.org/10.17721/1812-5409.2024/2.16

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Published

2025-12-23

Issue

Section

Modern Physics

How to Cite

Yakunov, A., Dibrov, V., & Sachko, A. (2025). Correlation between the fractal dimension of surface texture and its laser speckles as the basis for a non-contact method for analyzing ceramic materials. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, 81(2), 227-231. https://doi.org/10.17721/1812-5409.2025/2.35