Integral equation solution to the scattering of electromagnetic radiation by a linear chain of interacting triaxial dielectric ellipsoids. The case of a red blood cell Rouleau

Stamatakos, GS; Uzunoglu, NK

dc.contributor.author	Stamatakos, GS	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:12:37Z
dc.date.available	2014-03-01T01:12:37Z
dc.date.issued	1997	en
dc.identifier.issn	0920-5071	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12172
dc.subject	Electromagnetic Radiation	en
dc.subject	Integral Equation	en
dc.subject	Red Blood Cell	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Physics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	Approximation theory	en
dc.subject.other	Cells	en
dc.subject.other	Electric fields	en
dc.subject.other	Fourier transforms	en
dc.subject.other	Integral equations	en
dc.subject.other	Matrix algebra	en
dc.subject.other	Parallel processing systems	en
dc.subject.other	Problem solving	en
dc.subject.other	Refractive index	en
dc.subject.other	Electromagnetic coupling	en
dc.subject.other	Fredholm integral equation theory	en
dc.subject.other	Interacting triaxial dielectric ellipsoids	en
dc.subject.other	Electromagnetic wave scattering	en
dc.title	Integral equation solution to the scattering of electromagnetic radiation by a linear chain of interacting triaxial dielectric ellipsoids. The case of a red blood cell Rouleau	en
heal.type	journalArticle	en
heal.identifier.primary	10.1163/156939397X00369	en
heal.identifier.secondary	http://dx.doi.org/10.1163/156939397X00369	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	A mathematical formalism describing plane electromagnetic wave scattering by a linear chain of N triaxial dielectric ellipsoids of complex index of refraction is presented. The Fredholm integral equation theory is employed. As a first approximation, electromagnetic coupling between only neighbouring scatterers is taken into account. The case of non-negligible coupling between any pairs of scatterers is a straightforward extension of the present treatment. However, the computing time demands in that case are particularly high. The analysis is based on the Lippman-Schwinger integral equation for the electric field. The corresponding integral equation for the scattering, which contains N singular kernels, is transformed into N non-singular integral equations for the angular Fourier transform of the field indide each scatterer. The latter equations are solved by reducing them by quadrature into a matrix equation. The resulting solutions are used to calculate the scattering amplitude. As a numerical application, the case of a red blood cell rouleau consisting of three adjacent oblate spheroidal models of erythrocytes is considered. Typical values of the appropriate discretization parameters which are sufficient for achieving convergence, as well as certain validity tests are provided. The effect of electromagnetic coupling between neighbouring scatterers is demonstrated. Efficient techniques for reducing the rather high computing requirements of the analysis, such as parallel processing, are both suggested and applied.	en
heal.publisher	VSP BV, Zeist, Netherlands	en
heal.journalName	Journal of Electromagnetic Waves and Applications	en
dc.identifier.doi	10.1163/156939397X00369	en
dc.identifier.isi	ISI:A1997XR98100004	en
dc.identifier.volume	11	en
dc.identifier.issue	7	en
dc.identifier.spage	949	en
dc.identifier.epage	980	en