Fourier Transform of the Lippmann-Schwinger Equation: Solving Vectorial Electromagnetic Scattering by Arbitrary Shapes
| dc.contributor.author | GRUY, Frederic | |
| dc.contributor.author | RABIET, Victor | |
| hal.structure.identifier | Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM] | |
| hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
| dc.contributor.author | PERRIN, Mathias | |
| dc.date.issued | 2023-11-18 | |
| dc.identifier.issn | 2227-7390 | |
| dc.description.abstractEn | In Electromagnetics, the field scattered by an ensemble of particles-of arbitrary size, shape, and material-can be obtained by solving the Lippmann-Schwinger equation. This singular vectorial integral equation is generally formulated in the direct space R^n (typically n = 2 or n = 3). In the article, we rigorously computed the Fourier transform of the vectorial Lippmann-Schwinger equation in the space of tempered distributions, splitting it in a singular and a regular contribution. One eventually obtains a simple equation for the scattered field in the Fourier space. This permits to draw an explicit link between the shape of the scatterer and the field through the Fourier Transform of the body indicator function. We compare our results with accurate calculations based on the T-matrix method and find a good agreement. | |
| dc.description.sponsorship | Atteindre l'état fondamental quantique d'un oscillateur nanomécanique à lévitation optique - ANR-21-CE30-0006 | |
| dc.description.sponsorship | Laser Organique Pompé Electriquement - ANR-22-CE24-0010 | |
| dc.language.iso | en | |
| dc.publisher | MDPI | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.subject.en | Lippmann Schwinger Equation | |
| dc.subject.en | Singular integral equation | |
| dc.subject.en | Fourier Transform | |
| dc.subject.en | Potential Theory | |
| dc.subject.en | scattering | |
| dc.title.en | Fourier Transform of the Lippmann-Schwinger Equation: Solving Vectorial Electromagnetic Scattering by Arbitrary Shapes | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3390/math11224691 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.subject.hal | Physique [physics] | |
| bordeaux.journal | Mathematics | |
| bordeaux.page | 4691 | |
| bordeaux.volume | 11 | |
| bordeaux.issue | 22 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04293335 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04293335v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematics&rft.date=2023-11-18&rft.volume=11&rft.issue=22&rft.spage=4691&rft.epage=4691&rft.eissn=2227-7390&rft.issn=2227-7390&rft.au=GRUY,%20Frederic&RABIET,%20Victor&PERRIN,%20Mathias&rft.genre=article |
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