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Applied Optics

Applied Optics


  • Vol. 31, Iss. 25 — Sep. 1, 1992
  • pp: 5359–5365

Orientational averaging of light-scattering observables in the T-matrix approach

Nikolai G. Khlebtsov  »View Author Affiliations

Applied Optics, Vol. 31, Issue 25, pp. 5359-5365 (1992)

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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

Original Manuscript: June 5, 1990
Published: September 1, 1992

Nikolai G. Khlebtsov, "Orientational averaging of light-scattering observables in the T-matrix approach," Appl. Opt. 31, 5359-5365 (1992)

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