摘要
It is proved that in a regular boundary system of rectangular,cylindrical or sphericalcoordinate,an arbitrary vector function can be separated into three orthogonal parameters:TEmodel field,TM model field and irrotational field.Each of these components can be determinedfully by a scalar function.On the basis of this theorem,the completeness of vector wave functionsystem{L,M,and N}is proved also.Thus it is explained that a vector function space can beprojected into three uncrossed subspaces not only in Euclidean space but also in the subspace ofvector wave function space.
It is proved that in a regular boundary system of rectangular,cylindrical or spherical coordinate,an arbitrary vector function can be separated into three orthogonal parameters:TE model field,TM model field and irrotational field.Each of these components can be determined fully by a scalar function.On the basis of this theorem,the completeness of vector wave function system{L,M,and N}is proved also.Thus it is explained that a vector function space can be projected into three uncrossed subspaces not only in Euclidean space but also in the subspace of vector wave function space.
