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Journal of Biomedical Optics

Light scattering by pathological and deformed erythrocytes: an integral equation model
Author(s): Nikolaos K. Uzunoglou; Dido M. Yova; Georgios Stamatakos
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Paper Abstract

A novel mathematical model of light scattering by pathological and deformed erythrocytes is presented. An erythrocyte is modeled as a homogeneous triaxial dielectric ellipsoid of complex index of refraction. Both its position and orientation in a given cartesian coordinate system are considered arbitrary. The analysis is based on the Lippman–Schwinger integral equation for the electric field. The corresponding (singular) integral equation for the scattering is transformed into an integral equation for the Fourier transform of the electric field inside the scatterer. The latter equation has a nonsingular kernel. It is solved by reducing it by quadrature into a linear set of equations. The resulting solutions are used to calculate the scattering amplitude. Several tests ensuring the validity of the approach along with sample calculations are presented.

Paper Details

Date Published: 1 July 1997
PDF: 9 pages
J. Biomed. Opt. 2(3) doi: 10.1117/12.275330
Published in: Journal of Biomedical Optics Volume 2, Issue 3
Show Author Affiliations
Nikolaos K. Uzunoglou, National Technical Univ. of Athens (Greece)
Dido M. Yova, National Technical Univ. of Athens (Greece)
Georgios Stamatakos, National Technical Univ. of Athens (Greece)

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