Khlebtsov N G
Appl Opt. 1992 Sep 1;31(25):5359-65. doi: 10.1364/AO.31.005359.
The formalism of the quantum theory of angular momentum is used for orientational averaging of the a matrix, the Hermitian tensorJ(+)J, and the direct product T(*)(vv')T(Tmicromicro'). These results are independent of the nature of waves and scatterers. Equations for ?J? and ?J(+)I? are interpreted as specific forms of the generalized Wigner-Eckart theorem for the matrix elements of operators J and J(+)J which are calculated in terms of symmetrical top eigenfunctions. The averaged values of the above three types of tensor are used for the analytical calculation of a complete set of incoherent light-scattering observables, i.e., the total scattering and extinction cross sections and the Mueller matrix elements.
角动量量子理论的形式体系用于对矩阵a、厄米张量J(+)J以及直积T(*)(vv')T(Tmicromicro')进行取向平均。这些结果与波和散射体的性质无关。关于?J?和?J(+)I?的方程被解释为广义维格纳-埃卡特定理的特定形式，用于计算根据对称陀螺本征函数得出的算符J和J(+)J的矩阵元。上述三种张量的平均值用于对一整套非相干光散射可观测量进行解析计算，即总散射和消光截面以及穆勒矩阵元。
