变边界条件下的电磁场边值问题解析研究

摘要

对于变边界条件的电磁场边值问题求解,由于其相应解析解表达式中的系数确定较为困难,通常都是采用数值计算的方法。文中通过对一道变边界条件电磁场分布问题使用分离变量法求解析解,灵活使用了对应系数相等的思想,得到完善解析解。求解过程中具体应用了复数对应相等,实数指数对应相等,弦函数与其复变数间的切换等方法,为求解类似问题探索了一条途径。%For analysis solving the variable boundary constraint electromagnetic field, as the corresponding coefficient in analytical solution is more difficult to determine, so usually using numerical methods. Here authors analysis an electromagnetic field distribution problem with variable boundary constraint using the separation of variables, flexible use the idea of corresponding coefficient should equal, has gotten improve analytical solution. The solving process include corresponding plural real number index equal, and string functions between plural functions switch change etc. The above ideas for solving similar problems to explore a way.