EXTENDED HELMHOLTZ THEOREM AND ITS APPLICATION IN ELECTROMAGNETIC THEORY

Song Wenmiao

Volume 13 Issue 1

Jan. 1991

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Song Wenmiao. EXTENDED HELMHOLTZ THEOREM AND ITS APPLICATION IN ELECTROMAGNETIC THEORY[J]. Journal of Electronics & Information Technology, 1991, 13(1): 49-56.

Citation:

Song Wenmiao. EXTENDED HELMHOLTZ THEOREM AND ITS APPLICATION IN ELECTROMAGNETIC THEORY[J]. Journal of Electronics & Information Technology, 1991, 13(1): 49-56.

Song Wenmiao. EXTENDED HELMHOLTZ THEOREM AND ITS APPLICATION IN ELECTROMAGNETIC THEORY[J]. Journal of Electronics & Information Technology, 1991, 13(1): 49-56.

Citation:

Song Wenmiao. EXTENDED HELMHOLTZ THEOREM AND ITS APPLICATION IN ELECTROMAGNETIC THEORY[J]. Journal of Electronics & Information Technology, 1991, 13(1): 49-56.

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EXTENDED HELMHOLTZ THEOREM AND ITS APPLICATION IN ELECTROMAGNETIC THEORY

Song Wenmiao

Received Date: 1989-07-19
Rev Recd Date: 1990-07-27
Publish Date: 1991-01-19

Abstract

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.

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References(1)

References

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