Accelerating the discrete dipole approximation by initializing with a scalar solution and using a circulant preconditioning - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Accelerating the discrete dipole approximation by initializing with a scalar solution and using a circulant preconditioning

Patrick C Chaumet
  • Fonction : Auteur
  • PersonId : 834133
Guillaume Maire
  • Fonction : Auteur
Anne Sentenac
  • Fonction : Auteur

Résumé

The discrete dipole approximation (DDA) is a method of choice for simulating the electromagnetic scattering by objects of arbitrary shape and permittivity. To recover the field inside the object, it requires the iterative solving of a dense linear system which can be time consuming. To ease this task, we propose to start the inversion with the solution of the recently introduced scalar approximation [Chaumet et al. J. Opt. Soc. Am. A, 39 , 1462 (2022)]. This initial guess allows a reduction of the time required for the solving of the linear system up to 50%. In addition, we study the interest of preconditioning the system to accelerate convergence. We show that the gain can be up to a factor of 5, especially for homogeneous objects on a plane substrate.
Fichier principal
Vignette du fichier
Chaumet_JQSRT_23.pdf (403.91 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04172908 , version 1 (10-04-2024)

Identifiants

Citer

Patrick C Chaumet, Guillaume Maire, Anne Sentenac. Accelerating the discrete dipole approximation by initializing with a scalar solution and using a circulant preconditioning. 2024. ⟨hal-04172908⟩
16 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More