## Comparison of the discrete dipole approximation and the discrete source method for simulation of light scattering by red blood cells

Optics Express, Vol. 18, Issue 6, pp. 5681-5690 (2010)

http://dx.doi.org/10.1364/OE.18.005681

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### Abstract

The discrete sources method (DSM) and the discrete dipole approximation (DDA) were compared for simulation of light scattering by a red blood cell (RBC) model. We considered RBCs with diameters up to 8 μm (size parameter up to 38), relative refractive indices 1.03 and 1.06, and two different orientations. The agreement in the angle-resolved *S*_{11} element of the Mueller matrix obtained by these methods is generally good, but it deteriorates with increasing scattering angle, diameter and refractive index of a RBC. Based on the DDA simulations with very fine discretization (up to 93 dipoles per wavelength) for a single RBC, we attributed most of the disagreement to the DSM, which results contain high-frequency ripples. For a single orientation of a RBC the DDA is comparable to or faster than the DSM. However, the relation is reversed when a set of particle orientations need to be simulated at once. Moreover, the DSM requires about an order of magnitude less computer memory. At present, application of the DSM for massive calculation of light scattering patterns of RBCs is hampered by its limitations in size parameter of a RBC due to the high number of harmonics used for calculations.

© 2010 OSA

**OCIS Codes**

(000.4430) General : Numerical approximation and analysis

(170.1530) Medical optics and biotechnology : Cell analysis

(290.5850) Scattering : Scattering, particles

**ToC Category:**

Scattering

**History**

Original Manuscript: November 19, 2009

Revised Manuscript: January 3, 2010

Manuscript Accepted: January 6, 2010

Published: March 5, 2010

**Virtual Issues**

Vol. 5, Iss. 7 *Virtual Journal for Biomedical Optics*

**Citation**

Konstantin V. Gilev, Elena Eremina, Maxim A. Yurkin, and Valeri P. Maltsev, "Comparison of the discrete dipole approximation and the discrete source method for simulation of light scattering by red blood cells," Opt. Express **18**, 5681-5690 (2010)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-18-6-5681

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