Fourier transform of the Lippmann-Schwinger equation for 3D Vectorial Electromagnetic Scattering : a direct relationship between fields and shape
GRUY, Frédéric
Ecole Nationale Supérieure des Mines de St Etienne [ENSM ST-ETIENNE]
Laboratoire Georges Friedel [LGF-ENSMSE]
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]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
GRUY, Frédéric
Ecole Nationale Supérieure des Mines de St Etienne [ENSM ST-ETIENNE]
Laboratoire Georges Friedel [LGF-ENSMSE]
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]
< Leer menos
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
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Document de travail - Pré-publication
Resumen en inglés
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 ...Leer más >
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.< Leer menos
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