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′TTµµ′. 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.
© 1992 Optical Society of America
Nikolai G. Khlebtsov, "Orientational averaging of light-scattering observables in the J-matrix approach," Appl. Opt. 31, 5359-5365 (1992)