摘要
以解决工程上有限电导率同轴电缆传输损耗问题为主线，首先用分离变数法解决了有限电导率的同轴电缆的电势分布问题，给出了其电势分布的无穷级数表达式．为了进一步研究同轴电缆电场和能流密度的分布问题，分离变数法遇到了数学上的困难，于是我们借鉴了Variational Approach Method的一些思想，在此基础上发展了一套解决复杂边界条件和复杂非齐次项偏微分方程的方法．进而用该方法漂亮地解决了有限电导率的同轴电缆传输损耗问题．最后通过比较两种方法得到的电势解，试探性地给出了一个将复杂Bessel函数化筒的等式．
Aimed at solving the coaxial cable problem in engineering, firstly we solve the distribution of the potential in the coaxial cable with electronic resistance through the traditional method, while, for the further studies of the distribution of the electronic field and energy flow intension, faced with the mathematical difficulty which is, to some degree , a monster, we develop a new method based on some suggestive ideas from the Variantional Approach Method for solving partial differential equations with complex boundary conditions and complicated nonhomogeneous terms. Then , we these two solutions of the potential easily solve that problem through this new method . In the end, by comparing through two different methods ,we conclude with a tentative equality which can simplify those complicated Bessel functions.
出处
《山东师范大学学报（自然科学版）》
CAS
2010年第1期74-78,共5页
Journal of Shandong Normal University(Natural Science)
关键词
电磁场理论
同轴电缆
偏微分方程
贝塞尔函数
electromagnetics
coaxial cable
partial differential equations
bessel function
