Efficient iterative solution of the discrete dipole approximation for magnetodielectric scatterers

The discrete dipole approximation (DDA) has been widely used to study light scattering by nonmagnetic objects. The electric field inside an arbitrary scatterer is found by solving a dense, symmetric, linear system using, in general, an iterative approach. However, when the scatterer has a nonzero ma...

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Bibliographic Details
Published in:Optics letters 2009-04, Vol.34 (7), p.917-919
Main Authors: CHAUMET, Patrick C, RAHMANI, Adel
Format: Article
Language:English
Subjects:
Applied classical electromagnetism
Diffraction and scattering
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optics
Physics
Wave optics
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Summary:The discrete dipole approximation (DDA) has been widely used to study light scattering by nonmagnetic objects. The electric field inside an arbitrary scatterer is found by solving a dense, symmetric, linear system using, in general, an iterative approach. However, when the scatterer has a nonzero magnetic susceptibility, the linear system becomes nonsymmetric, and some of the most commonly used iterative methods fail to work. We study the scattering of light by objects with both electric and magnetic linear responses and discuss the efficiency of several iterative solvers for the nonsymmetric DDA.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.34.000917