Title :

Fourier Transform of the Lippmann-Schwinger Equation: Solving Vectorial Electromagnetic Scattering by Arbitrary Shapes

Author(s) :

Gruy, Frederic [Auteur]
Rabiet, Victor [Auteur]
Perrin, Mathias [Auteur]
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]

Journal title :

Mathematics
Analytical Methods in Wave Scattering and Diffraction, 2nd Edition

Pages :

4691

Publisher :

MDPI

Publication date :

2023-11-18

ISSN :

2227-7390

English keyword(s) :

Lippmann Schwinger Equation
Singular integral equation
Fourier Transform
Potential Theory
scattering

HAL domain(s) :

Mathématiques [math]
Physique [physics]

English abstract : [en]

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 ...
Show 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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Atteindre l'état fondamental quantique d'un oscillateur nanomécanique à lévitation optique
Laser Organique Pompé Electriquement

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL

Submission date :

2023-11-21T05:18:14Z