Abstract
The formalism of the quantum theory of angular momentum is used for orientational averaging of the matrix, the Hermitian tensor , and the direct product T*νν′ Tμμ′. These results are independent of the nature of waves and scatterers. Equations for 〈 〉 and 〈 〉 are interpreted as specific forms of the generalized Wigner–Eckart theorem for the matrix elements of operators and , 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
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