电偶极辐射场的另一种计算方法

Another Calculation Method of Electric Dipole Radiation

研究电偶极辐射问题的出发点是推迟势公式,本文先用格林函数法求解达朗贝尔方程组,得出推迟势公式;再用特殊函数理论对推迟势公式作展开,得出电偶极辐射场,并对远场和近场分别进行讨论。这种计算方法既能对电偶极辐射问题有一个较全面而且准确的认识,又能将数学思想与物理理论相结合,做到学以自用,融会贯通。

The starting point of researching electric dipole radiation is retarded potential formula. In the paper, we first solve the D＇Alembert equations by Green＇s function method, drawing a retarded potential formula. Next, we expand the retarded potential formu- la in special function theory, obtaining the field of dipole radiation. At last, the far field and near field are discussed respectively. The study is helpful for students to more comprehensively understand the problems of electric dipole radiation, combining mathematical thought and physical theory, and enhancing effect in study.