2022
DOI: 10.3390/math10173049
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The Discrete Dipole Approximation: A Review

Abstract: There are many methods for rigorously calculating electromagnetic diffraction by objects of arbitrary shape and permittivity. In this article, we will detail the discrete dipole approximation (DDA) which belongs to the class of volume integral methods. Starting from Maxwell’s equations, we will first present the principle of DDA as well as its theoretical and numerical aspects. Then, we will discuss the many developments that this method has undergone over time and the numerous applications that have been deve… Show more

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Cited by 24 publications
(9 citation statements)
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“…The first multiport model for RIS-aided channels was introduced in [33], assuming a minimum scattering radiating element configuration. The model employed thin wire dipoles as scattering elements for analytical tractability, aligning with the discrete dipole approximation [34]. A similar model based on the coupled dipoles formalism is presented in [35].…”
Section: Introductionmentioning
confidence: 99%
“…The first multiport model for RIS-aided channels was introduced in [33], assuming a minimum scattering radiating element configuration. The model employed thin wire dipoles as scattering elements for analytical tractability, aligning with the discrete dipole approximation [34]. A similar model based on the coupled dipoles formalism is presented in [35].…”
Section: Introductionmentioning
confidence: 99%
“…Considering the large differences observed between the experimental results and the mechanistic simulations, we computed rigorously the electromagnetic scattering of the three-dimensional object, that is, the PS Ru@bead (refractive index: 1.589) placed in a PBS solution (refractive index: 1.335), by using the DDA. 73 Herein, we selected PS beads instead of magnetic beads because their refractive index at 620 nm is well-known. The refractive index for magnetic beads is approximately 1.6.…”
Section: ■ Resultsmentioning
confidence: 99%
“…The sphere of the PMMA particle was discretized into cubic cells. The response electric field E i and the induced polarization P i on each i -th cell are described as follows, E i = E inc false( bold-italicr i false) + k w 2 ε 0 ε m e d j G false( bold-italicr i , bold-italicr j false) P j V j P i = ε 0 χ false( bold-italicr i false) E i where r i and V i are the position and volume of i -th cell, respectively. k w is the wavenumber, ε 0 is the permittivity of vacuum, G is the free-space Green’s function, and χ( r ) = ε( r )−ε med is the electric susceptibility (ε( r ) is the relative dielectric constant).…”
Section: Methodsmentioning
confidence: 99%