GRUY, Frédéric; PERRIN, Mathias; RABIET, Victor

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GRUY, Frédéric
Ecole Nationale Supérieure des Mines de St Etienne [ENSM ST-ETIENNE]
Laboratoire Georges Friedel [LGF-ENSMSE]

PERRIN, Mathias
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

RABIET, Victor
Département de Mathématiques et Applications - ENS Paris [DMA]

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Document de travail - Pré-publication

Résumé en anglais

In classical Physics, the Lippmann-Schwinger equation links the field scattered by an ensemble of particles-of arbitrary size, shape and material-to the incident field. This singular vectorial integral equation is generally formulated and solved in the direct space R n (typically, n = 2 or n = 3), and often approximated by a scalar description that neglects polarization effects. Computing rigorously the Fourier transform of the fully vectorial Lippmann-Schwinger equation in S (R 3), we obtain a simple expression in the Fourier space. Besides, we can draw an explicit link between the shape of the scatterer and the scattered field. This expression gives a general, tridimensional, picture of the well known Rayleigh-Sommerfeld expression of bidimensional scattering through small apertures.< Réduire

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Laboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798