有限电导率下格林函数的解析表达式及其数值计算

在阻抗边界条件下，有限电导率地平面上电偶极子的赫兹位函数可被表达成电偶子源的直达波，镜像源的反射波与一个无穷积分或一个贝塞尔函数级数之和的解析形式。讨论了赫兹位函数的无穷级数和无穷积分两种表达形式在数值计算过程中的收敛性和收敛速度等问题，分析了这两种表达形式各自的特点和在快速计算时的优缺点，给出了在地表面电波传播问题中近区传播损耗的计算方法。

Analytical Expression and Numer ical Calculation for Green's Functions in Finite Conductivity

Subject to impedance boundary condition, Hertz potential of electric dipole over the earth's surface in finite conductivity can be expressed as the sum of three parts: a direct filed of the dipole, a reflected field of image source and an infinite integral or a series of Bessel functions. In this paper, we discuss the convergence and the convergent speed of infinite series and infinite integral of Hertz potenitials during numerical calculating, analyze the characteristics of these two expression forms and the advantages and disadvantages in quick calculation, and propose a new algorithm to calculate propagation loss in different regions in researching the problem of propagation loss over the earth's surface.