Fourier Transform of the Lippmann-Schwinger Equation: Solving Vectorial Electromagnetic Scattering by Arbitrary Shapes
PERRIN, Mathias
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
PERRIN, Mathias
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
< Reduce
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Language
en
Article de revue
This item was published in
Mathematics. 2023-11-18, vol. 11, n° 22, p. 4691
MDPI
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Lippmann Schwinger Equation
Singular integral equation
Fourier Transform
Potential Theory
scattering
ANR Project
Atteindre l'état fondamental quantique d'un oscillateur nanomécanique à lévitation optique - ANR-21-CE30-0006
Laser Organique Pompé Electriquement - ANR-22-CE24-0010
Laser Organique Pompé Electriquement - ANR-22-CE24-0010
Origin
Hal imported