Abstract

The formalism of the quantum theory of angular momentum is used for orientational averaging of the T matrix, the Hermitian tensor T+T, and the direct product T*νν′ Tμμ′. These results are independent of the nature of waves and scatterers. Equations for 〈 T〉 and 〈 T+T〉 are interpreted as specific forms of the generalized Wigner–Eckart theorem for the matrix elements of operators T and T+T, 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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Equations (59)

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