CAJ | 학술논문

提出一种兼顾精度与效率且不受参数范围限制的各向异性分层介质电磁场并矢Green函数的混合算法，并研究其在求解层状介质电磁响应中的应用。首先给出四种场型并矢Green函数在均匀各向异性介质中的闭合解析解以及在层状各向异性介质中的Sommerfeld积分表示，并重点考察了场源横向距离为零时的解；然后通过对比分析Sommerfeld积分的各种计算方法的优缺点及适用条件，得到一种根据参数范围自动选配最优计算方案的混合算法，并研究了特殊几何模型情况下全空间上并矢Green函数的高效计算问题；最后利用所提出的算法考察了层状各向异性介质背景下偶极子的辐射等实际问题。
제출일충겸고정도여효솔차불수삼수범위한제적각향이성분층개질전자장병시Green함수적혼합산법，병연구기재구해층상개질전자향응중적응용。수선급출사충장형병시Green함수재균균각향이성개질중적폐합해석해이급재층상각향이성개질중적Sommerfeld적분표시，병중점고찰료장원횡향거리위령시적해；연후통과대비분석Sommerfeld적분적각충계산방법적우결점급괄용조건，득도일충근거삼수범위자동선배최우계산방안적혼합산법，병연구료특수궤하모형정황하전공간상병시Green함수적고효계산문제；최후이용소제출적산법고찰료층상각향이성개질배경하우겁자적복사등실제문제。
In this paper, a hybrid algorithm is developed, which is not only compatible for precision and efficiency but also independent of bound of arguments for calculating of dyadic Green’s function in a layered anisotropic earth; and its applications for computation of electromagnetic response in layered earth are studied. Firstly, entire analytic solutions in homogeneous anisotropic earth and expression of Sommerfeld integrals in layered anisotropic earth for four kinds of field dyadic Green’s functions are given. Especially,the solution for the case of the distance of receiver and transmitter be-ing zero is investigated. Characteristic and suited conditions of some usual computational methods of Sommerfeld inte-grals are analyzed and contrasted. Then a hybrid algorithm of matching optimal methods is obtained due to the range of arguments,and the efficient method of calculating dyadic Green’s functions for whole space in special geometrical mod-el is studied. Furthermore,the radiation of dipole in a layered anisotropic earth is investigated.