Light scattering by an arbitrary particle: a physical reformulation of the coupled dipole method

Singham, Shermila Brito; Bohren, Craig F.

doi:10.1364/ol.12.000010

Cited by 71 publications

(19 citation statements)

References 8 publications

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“…They started from Eqs. (10)- (12) and used the following simplifying fact for a cubical cell (also valid for spherical cells), resulting from symmetry:…”

Section: General Frameworkmentioning

confidence: 99%

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The discrete dipole approximation: An overview and recent developments

Yurkin

Hoekstra

2007

Journal of Quantitative Spectroscopy and Radiative Transfer

781

458

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We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the viewpoint of a general framework based on the integral equations for the electric field. We review both the theory of the DDA and its numerical aspects, the latter being of critical importance for any practical application of the method. Finally, the position of the DDA among other methods of light scattering simulation is shown and possible future developments are discussed.

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“…They started from Eqs. (10)- (12) and used the following simplifying fact for a cubical cell (also valid for spherical cells), resulting from symmetry:…”

Section: General Frameworkmentioning

confidence: 99%

“…A scattering order formulation (SOF) of the DDA was developed independently by Chiappetta [119] and Singham and Bohren [12,120] by applying the Neumann series to Eq. (17).…”

Section: Scattering Order Formulationmentioning

confidence: 99%

The discrete dipole approximation: An overview and recent developments

Yurkin

Hoekstra

2007

Journal of Quantitative Spectroscopy and Radiative Transfer

781

458

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“…The particle is regarded as consisting of a large number of small cubic electric dipoles, and the scattering field is the summation of contributions from these electric dipoles. Recently, the DDA method has been widely modified and employed by many investigators, such as Singham and Salzman (1986), Singham and Bohren (1987), Draine (1988), Goedecke and O'Brien (1988), Dungey and Bohren (1993) and Flatau et al (1993). A review of this method was given by Draine and Flatau (1994).…”

Section: Introductionmentioning

confidence: 99%

Error analysis of backscatter from discrete dipole approximation for different ice particle shapes

Illingworth

1997

Atmospheric Research

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Ice sphere backscatter has been calculated using both Mie theory and the discrete dipole approximation (DDA) at a wavelength of 3.2 mm (94 GHz). The electric dipole, magnetic dipole and electric quadrupole contributions to spherical particle backscatter have been analyzed. The results show that there is a resonance area around particle size parameter of 1.5, where the calculated backscatter errors are very large due to the neglect of the magnetic dipole, and this is confirmed by applying Mie theory to 8.66 mm (35 GHz) and 3.21 cm (X-band) wavelengths. Based on the backscatter calculation using a cube and a hexagon column randomly oriented in space, it was found that the backscatter error from the inaccurate representation of the particle surface shape is much smaller than that from the neglect of the magnetic dipole, and the resonance occurs at different particle sizes depending upon the exact particle shapes. At a wavelength of 3.2 mm, the particle shape has little effect on backscatter when volume-equivalent spherical particle radius r v < 500 /zm, and Rayleigh backscatter can be used as a reasonable approximation for r v < 300 /xm. © 1997 Elsevier Science B.V.

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“…7 ' 8 The theoretical basis for the DDA, including radiative reaction corrections, is summarized by Draine. 6 Nature provides the physical inspiration for the DDA: in 1909 Lorentz showed 9 that the dielectric properties of a substance could be directly related to the polarizabilities of the individual atoms of which it was composed, with a particularly simple and exact relationship, the Clausius-Mossotti (or Lorentz-Lorenz) relation, when the atoms are located on a cubic lattice.…”

mentioning

confidence: 99%

Discrete-Dipole Approximation For Scattering Calculations

Draine¹,

Flatau²

1994

J. Opt. Soc. Am. A

3,388

2,647

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The discrete-dipole approximation (DDA) for scattering calculations, including the relationship between the DDA and other methods, is reviewed. Computational considerations, i.e., the use of complex-conjugate gradient algorithms and fast-Fourier-transform methods, are discussed. We test the accuracy of the DDA by using the DDA to compute scattering and absorption by isolated, homogeneous spheres as well as by targets consisting of two contiguous spheres. It is shown that, for dielectric materials (Iml c 2), the DDA permits calculations of scattering and absorption that are accurate to within a few percent.

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Light scattering by an arbitrary particle: a physical reformulation of the coupled dipole method

Cited by 71 publications

References 8 publications

The discrete dipole approximation: An overview and recent developments

The discrete dipole approximation: An overview and recent developments

Error analysis of backscatter from discrete dipole approximation for different ice particle shapes

Discrete-Dipole Approximation For Scattering Calculations

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