[1]熊华俊,王金凤..球坐标下时谐电偶极子的二阶矢量位[J].郑州大学学报(工学版),2004,25(04):98-101.[doi:10.3969/j.issn.1671-6833.2004.04.025]
　Xiong Huajun,Wang Jinfeng.The second-order vector bits of the harmonic electric dipole in spherical coordinates[J].Journal of Zhengzhou University (Engineering Science),2004,25(04):98-101.[doi:10.3969/j.issn.1671-6833.2004.04.025]

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球坐标下时谐电偶极子的二阶矢量位()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

25卷

期数:

2004年04期

页码:

98-101

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

The second-order vector bits of the harmonic electric dipole in spherical coordinates

作者:

熊华俊; 王金凤.

中国电子技术标准化研究所,北京,100007, 郑州大学电气工程学院,河南,郑州,450002

Author(s):

Xiong Huajun; Wang Jinfeng

关键词:

二阶矢量位;  电磁场;  时谐电偶极子

Keywords:

second-order vector bits;  electromagnetic fields;  Time-harmonic electric dipoles

DOI:

10.3969/j.issn.1671-6833.2004.04.025

文献标志码:

A

摘要:

当利用叠加原理求解激励源为时谐电偶极子的电磁场矢量边值问题时,可以引入二阶矢量位将矢量问题转化为标量问题,而时谐电偶极子在无限大空间中的二阶矢量位必须首先求得.利用特殊函数间的转化关系和互易定理,从无限大空间中时谐电偶极子的磁矢量位出发,推导得到了球坐标下无限大空间中时谐电偶极子的二阶矢量位.二阶矢量位的形式较磁矢量位复杂,但为了在引入二阶矢量位后能方便的利用边界条件,这种由简到繁的转化是必要的.

Abstract:

When the superposition principle is used to solve the electromagnetic field vector edge value problem where the excitation source is a time-harmonic electric dipole, the second-order vector bits can be introduced to convert the vector problem into a scalar problem, and the second-order vector bits of the time-harmonic electric dipoles in infinite space must be obtained first. Using the transformation relationship between special functions and the reciprocity theorem, the second-order vector bits of time-harmonic electric dipoles in infinite space in spherical coordinates are derived from the magnetic vector bits of time-harmonic electric dipoles in infinite space. The form of second-order vector bits is more complex than that of magnetic vector bits, but in order to easily use the boundary conditions after the introduction of second-order vector bits, this conversion from simple to complex is necessary.

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