Mishchenko Michael I
NASA Goddard Institute for Space Studies, 2880 Broadway, New York, New York 10025, USA.
Appl Opt. 2002 Nov 20;41(33):7114-34. doi: 10.1364/ao.41.007114.
The concepts of statistical electromagnetics are used to derive the general radiative transfer equation (RTE) that describes multiple scattering of polarized light by sparse discrete random media consisting of arbitrarily shaped and arbitrarily oriented particles. The derivation starts with the volume integral and Lippmann-Schwinger equations for the electric field scattered by a fixed N-particle system and proceeds to the vector form of the Foldy-Lax equations and their approximate far-field version. I then assume that particle positions are completely random and derive the vector RTE by applying the Twersky approximation to the coherent electric field and the Twersky and ladder approximations to the coherency dyad of the diffuse field in the limit N --> infinity. The concluding section discusses the physical meaning of the quantities that enter the general vector RTE and the assumptions made in its derivation.
统计电磁学的概念被用于推导通用辐射传输方程（RTE），该方程描述了由任意形状和任意取向的粒子组成的稀疏离散随机介质对偏振光的多次散射。推导从固定N粒子系统散射电场的体积积分和李普曼 - 施温格方程开始，进而得到福迪 - 拉克斯方程的矢量形式及其近似远场形式。然后，我假设粒子位置完全随机，并通过在N→∞的极限情况下对相干电场应用特韦尔斯基近似，对漫射场的相干并矢应用特韦尔斯基近似和阶梯近似，推导出矢量RTE。结论部分讨论了进入通用矢量RTE的量的物理意义及其推导中所做的假设。
