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Far-field approach to the transfer of polarized radiation in anisotropic, spatially dispersive, weakly inhomogeneous and dissipative media

U Bellotti, M Bornatici1998年Plasma Physics and Controlled FusionIF 2.2出版社

The transport of polarized radiation in anisotropic, spatially dispersive, weakly inhomogeneous and dissipative media with embedded sources is dealt with in terms of the (second-rank) radiation intensity tensor obtained on the basis of the geometrical optics far-field solution of the wave equation. Such an approach accounts for the effects of both wave energy absorption and emission from the medium, the former being related to the anti-Hermitian part of the dielectric tensor of the medium and the latter being expressed in terms of the autocorrelation of the source current density, which allows one to treat both polarized and unpolarized, as well as coherent and incoherent, sources. The polarization properties of the radiation, described on the basis of the polarization vectors of the two propagating electromagnetic eigenmodes, are investigated with respect to the effects of both the spatial inhomogeneity and birefringence of the medium, the latter, in particular, being connected with the relative change of phase of the two propagating modes over the relevant ray path. Each of the effects is discussed, and the connections with standard notions such as the specific intensity of the radiation and Stokes parameters are investigated, the state of thermodynamic equilibrium being considered as an example. The specific case of the polarization degeneracy in an isotropic medium is addressed in some detail. The case of a non-uniformly magnetized medium is also considered.

日本語訳

偏光した放射の、空間分散性、弱非一様性、および散逸性を有する媒質中での輸送は、波動方程式の幾何光学的遠方場解に基づいて得られる(2階の)放射強度テンソルを用いて扱われる。このようなアプローチは、媒質による波のエネルギー吸収と放出の両方の効果を考慮に入れるものであり、前者は媒質の誘電テンソルの反エルミート部分に関連し、後者はソース電流密度の自己相関によって表され、これにより偏光および非偏光の両方のソース、ならびにコヒーレントおよびインコヒーレントの両方のソースを扱うことが可能となる。放射の偏光特性は、伝播する2つの電磁固有モードの偏光ベクトルに基づいて記述され、媒質の空間的非一様性と複屈折の両方の効果に関して調べられる。後者は、特に、関連する光線経路に沿った2つの伝播モードの位相の相対的変化に関連する。各効果について議論され、熱力学的平衡状態を例として、比強度やストークスパラメータなどの標準的な概念との関連が調べられる。等方性媒質における偏光縮退の特別な場合についても詳しく考察される。さらに、非一様に磁化された媒質の場合も考察される。

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