格林函数法求解无限大空间电磁场的推迟势  

Using Green’s function method to solve the retard potential of the electromagnetic field in infinite space

作　　者：李振宇 王平瑞 LI Zhen-yu;WANG Ping-rui(School of Physics and Electronic Science,Guizhou Education University,Guiyang,Guizhou,550018)

机构地区：[1]贵州师范学院物理与电子科学学院,贵州贵阳550018

出　　处：《贵州师范学院学报》2018年第12期8-12,共5页Journal of Guizhou Education University

基　　金：2017年贵州省一流课程建设项目"理论物理"(黔教高发[2017]158号)

摘　　要：利用格林函数法分析了无限大空间电磁场辐射的严格解。采用四维傅里叶变换将达朗贝尔方程的格林函数问题从■空间变换到■空间,通过选择ω复平面内适当的积分路径,推导出符合物理要求的推迟格林函数解,最后得到了无限大空间电磁场辐射的推迟势。The rigorous solution of the electromagnetic radiation in infinite space is analyzed by using Green’s function method.First of all,the 4 dimensional Fourier transformation is used to transform Green's function problem of D'alembert equation from the (x ,t) space into the (k ,ω) space;After that,the proper integral path is selected in the ( complex plane,and the solution of retard Green's function is deduced,which meets the corresponding physical requirement;Finally,the retard potential of the electromagnetic radiation in infinite space is obtained.

关 键 词：格林函数法 推迟势 傅里叶变换 阶跃函数 

分 类 号：O442[理学—电磁学]