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针对平面镜像法不能准确计算近地复杂线天线地波场强的问题,提出将平面分层媒质的格林函数法和前苏联学者Fock地波留数级数计算模型相结合,并以近地半菱形天线为例来进行计算。首先,推导了半空间并矢格林函数的空域形式,并采用加强离散复镜像法对表达式中Sommerfeld积分进行计算验证,之后采用矩量法求解半菱形天线的电流;其次,给出了偶极子在球形表面的Fock留数级数波场模型,并把模式方程变换为微分方程进行求解,考虑到大气的指数型模型,采用等效地球半径对偶极子地波场进行计算并同ITU-R推荐的指数型地波计算软件GRWAVE的计算结果进行对比验证。最后,推导了地球表面任意方向偶极子的地波场计算表达式,并根据求取的半菱形天线电流对地波场进行计算。提供了一种近地复杂线天线地波场的求解思路。
Aiming at the problem that the planar image method can not accurately calculate the ground wave field of the near-ground complex antenna, this paper proposes a combination of the Green’s function method of planar layered media and the Fock residual wave number series calculation model of the former Soviet Union. For example to calculate. Firstly, the spatial form of half-space dyadic Green’s function is deduced, and the Sommerfeld integral in the expression is calculated and verified by the enhanced discrete complex image method. Then the current of semi-rhomboid antenna is solved by the moment method. Secondly, Fock residual series wave field model of the spherical surface, and transform the equation equation into differential equation. Taking into account the exponential model of the atmosphere, the equivalent earth radius is used to calculate the dipole wave field and calculate the wave field of the dipole with ITU- R calculated exponential wave calculation software GRWAVE calculation results for comparison and verification. Finally, the expression of the ground wave field of the dipole in any direction on the Earth’s surface is derived, and the ground wave field is calculated based on the obtained semi-rhombus antenna current. It provides a solution to the wavefield of the near-field complex antenna.