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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Vector radiative transfer ： ウィキペディア英語版 Vector radiative transfer In spectroscopy and radiometry, vector radiative transfer (VRT) is a method of modelling the propagation of polarized electromagnetic radiation in low density media. In contrast to scalar radiative transfer (RT), which models only the first Stokes component, the intensity, VRT models all four components through vector methods. For a single frequency, $\backslash nu$, the VRT equation for a scattering media can be written as follows: :$$ \frac= - \mathbf K \vec I + \vec a B(\nu, T) + \int_ \mathbf Z(\hat n, \hat n^\prime, \nu) \vec I \mathrm d \hat n^\prime where ''s'' is the path, $\backslash hat\; n$ is the propagation vector, ''K'' is the extinction matrix, $\backslash vec\; a$ is the absorption vector, ''B'' is the Planck function and ''Z'' is the scattering phase matrix. All the coefficient matrices, ''K'', $\backslash vec\; a$ and ''Z'', will vary depending on the density of absorbers/scatterers present and must be calculated from their density-independent quantities, that is the attenuation coefficient vector, $\backslash vec\; a$, is calculated from the mass absorption coefficient vector times the density of the absorber. Moreover, it is typical for media to have multiple species causing extinction, absorption and scattering, thus these coefficient matrices must be summed up over all the different species. Extinction is caused both by simple absorption as well as from scattering out of the line-of-sight, $\backslash hat\; n$, therefore we calculate the extinction matrix from the combination of the absorption vector and the scattering phase matrix: :$$ \mathbf K(\hat n, \nu) = \vec a(\nu)\mathbf I + \int_ \mathbf Z(\hat n^\prime, \hat n, \nu) \mathrm d \hat n^\prime where I is the identity matrix. The four-component radiation vector, $\backslash vec\; I\; =\; (I,\; Q,\; U,\; V)$ where ''I'', ''Q'', ''U'' and ''V'' are the first through fourth elements of the Stokes parameters, respectively, fully describes the polarization state of the electromagnetic radiation. It is this vector-nature that considerably complicates the equation. Absorption will be different for each of the four components, moreover, whenever the radiation is scattered, there can be a complex transfer between the different Stokes components—see polarization mixing—thus the scattering phase function has 4 *4=16 components. It is, in fact, a rank-two tensor. ==References== * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Vector radiative transfer」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.