1991, 13(1): 49-56.
Abstract:
It is proved that in a regular boundary system of rectangular, cylindrical or spherical coordinate, an arbrtrary Vector function can be separated into three orthogonal parts: TE mode field, TM mode field and irro tational field. Each of these components can be determined fully by a scalas function. On the basis of this theorem, the compltenesa of vector wave function system {L, M, and N} is proved, also. Thus it is explained that a vector furction space can be proiected into three uncrossed subspaces not only in Euclidean space but also in the subspace of vector wave function space.