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

Research output: Contribution to journalArticle

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 languageEnglish (US)
JournalWaves in Random and Complex Media
DOIs
StateAccepted/In press - Jan 1 2018

Fingerprint

Inverse problems
Scattering
Tissue
scattering
Spectral density
Refractive index
refractivity
Born approximation
Angular distribution
Fractals
Light scattering
fractals
light scattering
angular distribution
cells
approximation

Keywords

  • biological tissue
  • Born approximation
  • Quasi-homogeneous
  • spectral density
  • weak scattering

ASJC Scopus subject areas

  • Engineering(all)
  • Physics and Astronomy(all)

Cite this

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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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