Light scattering by adjacent red blood cells: a mathematical model

Nikolaos K. Uzunoglou; Georgios Stamatakos; Dimitrios Koutsouris; Dido M. Yova-Loukas

doi:10.1117/12.200836

31 January 1995 Light scattering by adjacent red blood cells: a mathematical model

Nikolaos K. Uzunoglou, Georgios Stamatakos, Dimitrios Koutsouris, Dido M. Yova-Loukas

Proceedings Volume 2326, Photon Transport in Highly Scattering Tissue; (1995) https://doi.org/10.1117/12.200836
Event: International Symposium on Biomedical Optics Europe '94, 1994, Lille, France

Abstract

Simple approximate scattering theories such as the Rayleigh-Gans theory are not generally applicable to the case of light scattering by red blood cell (RBC) aggregates, including thrombus. This is mainly due to the extremely short distance separating erythrocytes in the aggregates (of the order of 25 nm) as well as to the substantial size of the aggregates. Therefore, in this paper a new mathematical model predicting the electromagnetic field produced by the scattering of a plane electromagnetic wave by a system of two adjacent RBCs is presented. Each RBC is modeled as a homogeneous dielectric ellipsoid of complex index of refraction surrounded by transparent plasma. The relative position and orientation of the ellipsoids are arbitrary. Scattering is formulated in terms of an integral equation which, however, contains two singular kernels. The singular equation is transformed into a pair of nonsingular integral equations for the Fourier transform of the internal field of each RBC. The latter equations are solved by reducing them by quadrature into a matrix equation. The resulting solutions are used to estimate the scattering amplitude. Convergence aspects concerning the numerical calculation of the matrix elements originating from the interaction between the RBCs are also presented.

Citation Download Citation

Nikolaos K. Uzunoglou, Georgios Stamatakos, Dimitrios Koutsouris, and Dido M. Yova-Loukas "Light scattering by adjacent red blood cells: a mathematical model", Proc. SPIE 2326, Photon Transport in Highly Scattering Tissue, (31 January 1995); https://doi.org/10.1117/12.200836

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