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Kvantovaya Elektronika, 2005, Volume 35, Number 12, Pages 1157–1162 (Mi qe13040)  

This article is cited in 1 scientific paper (total in 1 paper)

Radiation scattering

On the renormalisation of the diffusion asymptotics in the problem of reflection of a narrow optical beam from a biological medium

A. Yu. Appanova, Yu. N. Barabanenkovb

a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
b Kotelnikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences, Moscow
Full-text PDF (168 kB) Citations (1)
Abstract: An analytic hybrid method is considered for solving the stationary radiation transfer equation in the problem on reflection of a narrow laser beam from biological media such as the 2% aqueous solution of intralipid and erythrocyte suspension with the volume concentration (hematocrit) H = 0.41. The method is based on the reciprocity of the Green function in the radiation transfer theory and on the iteration solution of the integral equation for this function. As a result, the ray intensity is represented as a sum of two terms. The first of them describes the contribution of finite-order scattering to the intensity of a beam diffusely reflected from the medium. The second term contains the explicit analytic expression for a spatially distributed effective source of diffuse radiation emerging from the deep layers of the medium to the surface. This approach substantially improves the diffusion approximation for the problem under study and allows one to obtain the uniform asymptotics of the reflection coefficient at the specified interval of distances between the radiation source and detector on the medium surface with the relative error within ± 6% for the 2% intralipid emulsion and erythrocyte suspension (H = 0.41).
Received: 26.08.2005
Revised: 08.11.2005
English version:
Quantum Electronics, 2005, Volume 35, Issue 12, Pages 1157–1162
DOI: https://doi.org/10.1070/QE2005v035n12ABEH013040
Bibliographic databases:
Document Type: Article
PACS: 42.66.-p, 87.56.-v, 87.57.-s
Language: Russian


Citation: A. Yu. Appanov, Yu. N. Barabanenkov, “On the renormalisation of the diffusion asymptotics in the problem of reflection of a narrow optical beam from a biological medium”, Kvantovaya Elektronika, 35:12 (2005), 1157–1162 [Quantum Electron., 35:12 (2005), 1157–1162]
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  • https://www.mathnet.ru/eng/qe/v35/i12/p1157
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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