Reflection of polarized light by plane-parallel slabs containing randomly-oriented, nonspherical particles

Mishchenko, Michael I.

doi:10.1016/0022-4073(91)90022-i

Cited by 19 publications

(5 citation statements)

References 22 publications

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“…Some benchmark results have already been published for randomly oriented spheroids, Che-byshev particles, and bispheres with touching and separated components. 6,15,32,33 To the best of our knowledge, no such results have been published in digital form for randomly oriented finite cylinders. We believe that, because of the high accuracy of our method reinforced by the use of extended-precision floating-point variables, our computer code is quite suitable for obtaining numbers accurate enough to serve as a benchmark.…”

Section: Numerical Aspects and Benchmark Resultsmentioning

confidence: 99%

Scattering of light by polydisperse, randomly oriented, finite circular cylinders

1996

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We use the T-matrix method, as described by Mishchenko [Appl. Opt. 32, 4652 (1993)], to compute rigorously light scattering by finite circular cylinders in random orientation. First we discuss numerical aspects of T -matrix computations specific for finite cylinders and present results of benchmark computations for a simple cylinder model. Then we report results of extensive computations for polydisperse, randomly oriented cylinders with a refractive index of 1.53 + 0.008i, diameter-to-length ratios of 1/2, 1/1.4, 1, 1.4, and 2, and effective size parameters ranging from 0 to 25. These computations parallel our recent study of light scattering by polydisperse, randomly oriented spheroids and are used to compare scattering properties of the two classes of simple convex particles. Despite the significant difference in shape between the two particle types (entirely smooth surface for spheroids and sharp rectangular edges for cylinders), the comparison shows rather small differences in the integral photometric characteristics (total optical cross sections, single-scattering albedo, and asymmetry parameter of the phase function) and the phase function. The general patterns of the other elements of the scattering matrix for cylinders and aspect-ratio-equivalent spheroids are also qualitatively similar, although noticeable quantitative differences can be found in some particular cases. In general, cylinders demonstrate much less shape dependence of the elements of the scattering matrix than do spheroids. Our computations show that, like spheroids and bispheres, cylinders with surface-equivalent radii smaller than a wavelength can strongly depolarize backscattered light, thus suggesting that backscattering depolarization for nonspherical particles cannot be universally explained by using only geometric-optics considerations.

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Section: Numerical Aspects and Benchmark Resultsmentioning

confidence: 99%

Scattering of light by polydisperse, randomly oriented, finite circular cylinders

1996

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“…In addition to inter-comparisons presented in this paper, authors of this work performed comparisons with many other similar studies and tables (see, e.g., [7][8][9]11]). In all cases the excellent agreement was found.…”

Section: Article In Pressmentioning

confidence: 99%

“…The benchmark results have been generated using SCIATRAN [6] and the differences in the final results obtained from those derived by other methods/codes are specified. Additional benchmark results can be found in the papers of Garcia and Siewert [7,8], Mishchenko [9], Wauben and Hovenier [10], and Natraj et al [11].…”

Section: Introductionmentioning

confidence: 99%

Benchmark results in vector atmospheric radiative transfer

Kokhanovsky¹,

Budak²,

Cornet³

et al. 2010

Journal of Quantitative Spectroscopy and Radiative Transfer

130

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a b s t r a c tIn this paper seven vector radiative transfer codes are inter-compared for the case of underlying black surface. They include three techniques based on the discrete ordinate method (DOM), two Monte-Carlo methods, the successive orders scattering method, and a modified doubling-adding technique. It was found that all codes give very similar results. Therefore, we were able to produce benchmark results for the Stokes parameters both for reflected and transmitted light in the cases of molecular, aerosol and cloudy multiply scattering media. It was assumed that the single scattering albedo is equal to one. Benchmark results have been provided by several studies before, including Coulson et al. [22], Garcia and Siewert [7,8], Wauben and Hovenier [10], and Natraj et al. [11] among others. However, the case of the elongated phase functions such as for a cloud and with a high angular resolution is presented here for the first time. Also in difference with other studies, we make inter-comparisons using several codes for the same input dataset, which enables us to quantify the corresponding errors more accurately.

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“…In other words, one has to specify a unique value for each of the scattering properties (scattering and extinction coefficients, scattering matrix). A noncomplete list of deterministic numerical methods includes the discrete-ordinate (DISORT) [1,[6][7][8][9][10][11][12][13][14][15], invariant embedding [16][17][18][19][20], adding and doubling [21][22][23], matrix operator [24][25][26][27][28][29][30][31], spherical harmonics [32][33][34], spherical harmonics discrete ordinate [35,36], and successive order of scattering (SOS) methods [37][38][39][40][41][42][43][44][45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Equivalence of internal and external mixture schemes of single scattering properties in vector radiative transfer

Mukherjee

Zhai

et al. 2017

Appl. Opt.

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Polarized radiation fields in a turbid medium are influenced by single-scattering properties of scatterers. It is common that media contain two or more types of scatterers, which makes it essential to properly mix single-scattering properties of different types of scatterers in the vector radiative transfer theory. The vector radiative transfer solvers can be divided into two basic categories: the stochastic and deterministic methods. The stochastic method is basically the Monte Carlo method, which can handle scatterers with different scattering properties explicitly. This mixture scheme is called the external mixture scheme in this paper. The deterministic methods, however, can only deal with a single set of scattering properties in the smallest discretized spatial volume. The single-scattering properties of different types of scatterers have to be averaged before they are input to deterministic solvers. This second scheme is called the internal mixture scheme. The equivalence of these two different mixture schemes of scattering properties has not been demonstrated so far. In this paper, polarized radiation fields for several scattering media are solved using the Monte Carlo and successive order of scattering (SOS) methods and scattering media contain two types of scatterers: Rayleigh scatterers (molecules) and Mie scatterers (aerosols). The Monte Carlo and SOS methods employ external and internal mixture schemes of scatterers, respectively. It is found that the percentage differences between radiances solved by these two methods with different mixture schemes are of the order of 0.1%. The differences of Q/I, U/I, and V/I are of the order of 10∼10, where I, Q, U, and V are the Stokes parameters. Therefore, the equivalence between these two mixture schemes is confirmed to the accuracy level of the radiative transfer numerical benchmarks. This result provides important guidelines for many radiative transfer applications that involve the mixture of different scattering and absorptive particles.

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Reflection of polarized light by plane-parallel slabs containing randomly-oriented, nonspherical particles

Cited by 19 publications

References 22 publications

Scattering of light by polydisperse, randomly oriented, finite circular cylinders

Scattering of light by polydisperse, randomly oriented, finite circular cylinders

Benchmark results in vector atmospheric radiative transfer

Equivalence of internal and external mixture schemes of single scattering properties in vector radiative transfer

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