Under rotation, vector spherical harmonics are transformed through each other in the same way as the corresponding scalar spherical functions, which are generating for a specific type of vector harmonics. For example, if the generating functions are the usual spherical harmonics, then the vector harmonics will also be transformed through the Wigner D-matrices D ^ ^ ( α α , β β , γ γ ) Y J M ( s ) ( θ θ , φ φ ) = ∑ ∑ M ′ = − − J J [ D M M ′ ( J ) ( α α , β β , γ γ ) ] ∗ ∗ Y J M ′ ( s ) ( θ θ , φ φ ) , The behavior under rotations is the same for electrical, magnetic and longitudinal harmonics.