点电荷间介电屏蔽的静电相互作用
On the Electrostatic Interaction between Point Charges due to Dielectrical Shielding
摘要：
如果两个点电荷被一个介质板屏蔽，它们之间的静电相互作用会怎样变化？虽然这个电磁问题的物理设置相对简单，但很容易出错，正确的解决方案也出奇的复杂。在这里，我们将显示一个一般的答案使用图像的方法，其中的电场不是通过求解泊松方程，而是通过叠加无限数量的图像电荷，以递归地满足所有界面的边界条件。在某些特殊情况下，我们也得到了解析和代数结果。
英文摘要：
How will the electrostatic interaction between two point charges change if they are shielded from the other by a dielectrical slab? While the physical setting of this electromagnetic problem is relatively simple, it is easy to be wronged and the correct solution is surprisingly complicated. Here we will show a general answer using the method of images, in which the electrical field are not found by solving the Poisson's equation but by superposing an infinite number of image charges to recurrently satisfy all interfaces' boundary conditions. We also obtain analytical and algebraic results in some special cases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
