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Article Dans Une Revue Journal of the Optical Society of America. A Optics, Image Science, and Vision Année : 2012

Concise formulation of the three-dimensional multiple-scattering theory

Résumé

The scattering of an electromagnetic wave by a set of dielectric and metallic spheres is a well-known physical problem. We show a mathematical simplification of the multiple-scattering theory. In this paper, we will establish the multiple-scattering equation in two different ways. Through the study of the equation form, we can choose the simplest spherical wave expansion for calculations. Then, we propose concise expressions of the Mie scattering coefficients and translation coefficients for both polarizations. With these simplified expressions, large spheres are studied without loss of accuracy. Far-field expressions, cross-sections, and the scattering matrix are also simplified. Thus, we obtain formulas that can be easily understood from a physical point of view.
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Dates et versions

hal-00783040 , version 1 (31-01-2013)

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Laurent Oyhenart, Valérie Vigneras. Concise formulation of the three-dimensional multiple-scattering theory. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2012, 29 (8), pp.1588-1596. ⟨10.1364/JOSAA.29.001588⟩. ⟨hal-00783040⟩
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