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

Journal Article · Sat Dec 31 00:00:00 EST 2005 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2005V035N12ABEH013040· OSTI ID:21470870

Appanov, A Yu ^[1]; Barabanenkov, Yu N ^[2]

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1. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Region (Russian Federation)
2. Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow (Russian Federation)

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). (radiation scattering)

• OSTI ID: 21470870
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Vol. 35, Issue 12; Other Information: DOI: 10.1070/QE2005v035n12ABEH013040; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AQUEOUS SOLUTIONS
ASYMPTOTIC SOLUTIONS
DIFFUSION EQUATIONS
EMULSIONS
ERRORS
ERYTHROCYTES
GREEN FUNCTION
INTEGRAL EQUATIONS
LASERS
PHOTON BEAMS
RADIATION DETECTORS
RADIATION SOURCES
REFLECTION
RENORMALIZATION
SCATTERING
SURFACES
SUSPENSIONS
BEAMS
BIOLOGICAL MATERIALS
BLOOD
BLOOD CELLS
BODY FLUIDS
COLLOIDS
DIFFERENTIAL EQUATIONS
DISPERSIONS
EQUATIONS
FUNCTIONS
HOMOGENEOUS MIXTURES
MATERIALS
MATHEMATICAL SOLUTIONS
MEASURING INSTRUMENTS
MIXTURES
PARTIAL DIFFERENTIAL EQUATIONS
SOLUTIONS