Fourier transform of the Lippmann-Schwinger equation for 3D Vectorial Electromagnetic Scattering : a direct relationship between fields and shape
| hal.structure.identifier | Ecole Nationale Supérieure des Mines de St Etienne [ENSM ST-ETIENNE] | |
| hal.structure.identifier | Laboratoire Georges Friedel [LGF-ENSMSE] | |
| dc.contributor.author | GRUY, Frédéric | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | PERRIN, Mathias | |
| hal.structure.identifier | Département de Mathématiques et Applications - ENS Paris [DMA] | |
| dc.contributor.author | RABIET, Victor | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.title.en | Fourier transform of the Lippmann-Schwinger equation for 3D Vectorial Electromagnetic Scattering : a direct relationship between fields and shape | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Physique [physics]/Physique [physics]/Optique [physics.optics] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| hal.identifier | hal-03043716 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03043716v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=GRUY,%20Fr%C3%A9d%C3%A9ric&PERRIN,%20Mathias&RABIET,%20Victor&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||