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地平面上方垂直磁流元电磁场的精确解析表达式

江滨浩 刘永坦

电波科学学报2001,Vol.16Issue(1):12-17,6.
电波科学学报2001,Vol.16Issue(1):12-17,6.

地平面上方垂直磁流元电磁场的精确解析表达式

Accurate and analytical expression for electromagnetic fieldsof a vertical magnetic current element over the ground plane

江滨浩 1刘永坦1

作者信息

  • 1. 哈尔滨工业大学,哈尔滨 150001
  • 折叠

摘要

Abstract

By using the Bateman's expansion formula, Sommerfeld typeintegral contained in electromagnetic fields of a vertical magnetic current element over the ground plane is expressed as a rapidly and absolutely convergent series of spherical wave functions, and the coefficients of the series are cast into the Jacobi polynomials for the complex permittivity by the aid of the Barne's integral representation of the hypergeometric function. The obtained result is an accurate and analytical expression for the Sommerfeld half-space problem and can give a good service to correlated investigations in theory of electromagnetic fields.

关键词

电磁场理论/索末菲型积分/垂直磁流元辐射/超几何函数

分类

数理科学

引用本文复制引用

江滨浩,刘永坦..地平面上方垂直磁流元电磁场的精确解析表达式[J].电波科学学报,2001,16(1):12-17,6.

电波科学学报

OACSCD

1005-0388

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