Rotational Vector Addition Theorem and Its Effect on T-matrix

摘要

In this paper we prove the vector addition theorem for rotation of vector spherical wave with zero divergence by the use of vector rotation operator. In this theorem a rotated vector spherical wave function is extended by fixed vector spherical wave functions. Then by the use of this theorem the relation between T-matrices for one object in two different concentric coordinate systems is formulated. Also, the relation between two coordinate systems is considered by Euler angles.