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arXiv · 2412.19532

Optical probing of fractal and multifractal connection to structural disorder in weakly optical disordered media: Application to cancer detection

Santanu Maity·Mousa Alrubayan·Ishmael Apachigwao·Dhruvil Solanki·Prabhakar Pradhan
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Abstract

The light scattering experiment establishes a relationship between refractive index fluctuations and fractal dimension in weakly scattering tissue-like media. Based on the box-counting approach, an analytical model is developed and shows that the fractal dimension has a functional dependency on the structural disorder or refractive index fluctuation for short-range correlation and approximately linearly depends on each other for tissue-like media. Several parametric imaging systems can be connected using this approach. Further, tissue's weak multifractality optical scattering is explored using the box-counting method. It is shown that with a functional transformation, the distribution follows lognormal distributions.

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Santanu Maity, Mousa Alrubayan, Ishmael Apachigwao, Dhruvil Solanki, Prabhakar Pradhan. 2024-12-27. Optical probing of fractal and multifractal connection to structural disorder in weakly optical disordered media: Application to cancer detection. https://arxiv.org/abs/2412.19532

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