Abstract
Translation is a degree of freedom used in the analysis of random media scattering. An analytical method is presented for rotational degree of freedom in such problems. Vector addition theorem for rotation of a vector spherical wave with zero divergence has been proved through the use of a vector rotation operator. The relation between T-matrices for an object in two different concentric coordinate systems is formulated by applying the addition theorem. The relationship between the two coordinate systems is also shown by Euler angles.
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