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) |
|---|---|
| Journal | Waves in Random and Complex Media |
| DOIs | |
| State | Accepted/In press - Jan 1 2018 |
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Keywords
- biological tissue
- Born approximation
- Quasi-homogeneous
- spectral density
- weak scattering
ASJC Scopus subject areas
- Engineering(all)
- Physics and Astronomy(all)
Cite this
Direct and inverse problems of weak scattering from quasi-homogeneous biological tissue. / Li, Jia; Korotkova, Olga.
In: Waves in Random and Complex Media, 01.01.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Direct and inverse problems of weak scattering from quasi-homogeneous biological tissue
AU - Li, Jia
AU - Korotkova, Olga
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
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.
KW - biological tissue
KW - Born approximation
KW - Quasi-homogeneous
KW - spectral density
KW - weak scattering
UR - http://www.scopus.com/inward/record.url?scp=85050361535&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85050361535&partnerID=8YFLogxK
U2 - 10.1080/17455030.2018.1498601
DO - 10.1080/17455030.2018.1498601
M3 - Article
AN - SCOPUS:85050361535
JO - Waves in Random and Complex Media
JF - Waves in Random and Complex Media
SN - 1745-5030
ER -