Direct and inverse problems of weak scattering from quasi-homogeneous biological tissue

Jia Li; Olga Korotkova

doi:10.1080/17455030.2018.1498601

Direct and inverse problems of weak scattering from quasi-homogeneous biological tissue

Jia Li, Olga Korotkova

Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The well-established model for the spatial correlation function of the refractive index fluctuations in a statistically stationary biological tissue [Sheppard CJR. Fractal model of light scattering in biological tissue and cells. Opt Lett. 2007;32:142–144] is applied to the direct scattering problem of light within the validity regimes of the first-order Born approximation and the quasi-homogeneous approximation. It is analytically found how the far-zone angular distribution of the scattered spectral density is related to the parameters of the bio-tissues refractive index correlation function. Then the inverse problem of reconstructing the parameters of the bio-tissues correlation function from several measurements of the scattered spectral density is solved analytically. These results are of importance for medical diagnostics in soft tissues.

Original language	English (US)
Pages (from-to)	241-249
Number of pages	9
Journal	Waves in Random and Complex Media
Volume	30
Issue number	2
DOIs	https://doi.org/10.1080/17455030.2018.1498601
State	Published - Apr 2 2020

Keywords

Born approximation
Quasi-homogeneous
biological tissue
spectral density
weak scattering

ASJC Scopus subject areas

Engineering(all)
Physics and Astronomy(all)

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abstract = "The well-established model for the spatial correlation function of the refractive index fluctuations in a statistically stationary biological tissue [Sheppard CJR. Fractal model of light scattering in biological tissue and cells. Opt Lett. 2007;32:142–144] is applied to the direct scattering problem of light within the validity regimes of the first-order Born approximation and the quasi-homogeneous approximation. It is analytically found how the far-zone angular distribution of the scattered spectral density is related to the parameters of the bio-tissues refractive index correlation function. Then the inverse problem of reconstructing the parameters of the bio-tissues correlation function from several measurements of the scattered spectral density is solved analytically. These results are of importance for medical diagnostics in soft tissues.",

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AB - The well-established model for the spatial correlation function of the refractive index fluctuations in a statistically stationary biological tissue [Sheppard CJR. Fractal model of light scattering in biological tissue and cells. Opt Lett. 2007;32:142–144] is applied to the direct scattering problem of light within the validity regimes of the first-order Born approximation and the quasi-homogeneous approximation. It is analytically found how the far-zone angular distribution of the scattered spectral density is related to the parameters of the bio-tissues refractive index correlation function. Then the inverse problem of reconstructing the parameters of the bio-tissues correlation function from several measurements of the scattered spectral density is solved analytically. These results are of importance for medical diagnostics in soft tissues.

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