@Article{CiCP-4-4,
author = {},
title = {Diagonalizations of Vector and Tensor Addition Theorems},
journal = {Communications in Computational Physics},
year = {2008},
volume = {4},
number = {4},
pages = {797--819},
abstract = {<p style="text-align: justify;">Based on the generalizations of the Funk-Hecke formula and the Rayleigh
plan-wave expansion formula, an alternative and succinct derivation of the addition
theorem for general tensor field is obtained. This new derivation facilitates the diagonalization of the tensor addition theorem. In order to complete this derivation, we
have carried out the evaluation of the generalization of the Gaunt coefficient for tensor
fields. Since vector fields (special case of tensor fields) are very useful in practice, we
discuss vector multipole fields and vector addition theorem in details. The work is
important in multiple scattering and fast algorithms in wave physics.</p>},
issn = {1991-7120},
doi = {https://doi.org/2008-CiCP-7815},
url = {https://global-sci.com/article/81279/diagonalizations-of-vector-and-tensor-addition-theorems}
}