Single light scattering: computational methods

Фарафонов, В. Г.; Ильин, В. П.

doi:10.1007/3-540-37672-0_4

Cited by 37 publications

(28 citation statements)

References 87 publications

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“…It is usually performed for particles of simple shapes (infinite cylinders or homogeneous spheroids) and the particles are very often assumed to be perfectly aligned (Mathis 1986;Kim & Martin 1995;Draine & Fraisse 2009). The reasons for these simplifications are a poor knowledge of alignment mechanisms (see Lazarian 2009, for a recent review) and the impossibility of light scattering calculations for complex aggregate particles of intermediate and large sizes (Michel et al 1996;Farafonov & Il'in 2006;Borghese et al 2007;Min 2009). …”

Section: Introductionmentioning

confidence: 99%

Interstellar polarization and grain alignment: the role of iron and silicon

Вощинников

Henning

Prokopjeva

et al. 2012

A&A

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We compiled the polarimetric data for a sample of lines of sight with known abundances of Mg, Si, and Fe. We correlated the degree of interstellar polarization P and polarization efficiency (the ratio of P to the colour excess E(B − V) or extinction A V ) with dust phase abundances. We detect an anticorrelation between P and the dust phase abundance of iron in non silicate-containing grains [Fe(rest)/H] d , a correlation between P and the abundance of Si, and no correlation between P/E(B − V) or P/A V and dust phase abundances. These findings can be explained if mainly the silicate grains aligned by the radiative mechanism are responsible for the observed interstellar linear polarization.

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Section: Introductionmentioning

confidence: 99%

Interstellar polarization and grain alignment: the role of iron and silicon

Вощинников

Henning

Prokopjeva

et al. 2012

A&A

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“…In the problem under consideration the separation of variables is possible as concern the azimuthal angle ϕ (see [3]), and hence in the first case one should consider only the terms with the index m = 0, while in the second one only the terms with m = 1.…”

Section: Scalar Potential Expansionsmentioning

confidence: 99%

“…Note that Eqs. (4)-(5) are analogs of the integral equations arisen when the method is applied to wave problems (see, e.g., [3]). Eqs.…”

Section: Introductionmentioning

confidence: 99%

Solution of the electrostatic problem for a non-confocal core-mantle spheroid

Фарафонов

Sokolovskaya

Ильин

2012

2012 Proceedings of the International Conference Days on Diffraction

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We consider two-layered spheroidal particles when the layer surfaces are not confocal. By an analog of the separation of variables method using two spheroidal coordinate systems we find the exact solution to the electrostatic problem. Assuming that the field inside the particle core is uniform, we get the explicit approximation which coincides with the well-known Rayleigh approximation for spheroids with the confocal layers.

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“…11 We should point out that the SVM and the EBCM, as well as the point-matching method (PMM), 12 must be equivalent from the theoretical viewpoint; however, when they are numerically implemented, there are ultimately no clear essential differences between them. [13][14][15] Electrostatic boundary-value problems, especially in the case of particles that possess no symmetry, are convenient tests for further research in these important methods of light-scattering theory. 16 Along with the rigorous approach to solving electrostatics problems, the uniform-internal-field approximation was recently constructed, which made it possible to find simple approximate formulas for certain axisymmetric particles, including finite circular cylinders 17 and Chebyshev particles.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh approximation for light scattering at parallelepipeds

Фарафонов

Ильин

2014

J. Opt. Technol.

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This paper discusses the Rayleigh approximation and solves the corresponding electrostatic problem for a nonspherical particle of virtually arbitrary (starlike) shape, using an analog of the expandedboundary-condition method. The essence of the recently proposed uniform-internal-field approximation, which gives approximating relationships for the Rayleigh approximation, is explained. Simple analytical expressions for the polarizability and other optical characteristics of small rectangular parallelepipeds are given in terms of the uniform-internal-field approximation. The results of numerical calculations of the absorption and scattering cross sections of light by such particles obtained from these approximate formulas and by the exact discrete-dipole method showed good agreement, especially for averaged cross sections in the case of unpolarized light or ensembles of randomly oriented parallelepipeds.

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Single light scattering: computational methods

Cited by 37 publications

References 87 publications

Interstellar polarization and grain alignment: the role of iron and silicon

Interstellar polarization and grain alignment: the role of iron and silicon

Solution of the electrostatic problem for a non-confocal core-mantle spheroid

Rayleigh approximation for light scattering at parallelepipeds

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