On the Electrostatic Interaction between Point Charges due to Dielectrical Shielding

被引:0
作者
Nguyen, Long T. [1 ]
Do, Tuan K. [2 ]
Nguyen, Duy, V [3 ]
Phan, Trung, V [4 ]
机构
[1] Vietnam Natl Univ, Hanoi Univ Sci, High Sch Gifted Students, 182 Luong Vinh Str, Hanoi 100000, Vietnam
[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[3] Phenikaa Univ, Phenikaa Inst Adv Study, Hanoi 100000, Vietnam
[4] Yale Univ, Dept Mol Cellular & Dev Biol, New Haven, CT 06520 USA
来源
PROGRESS IN ELECTROMAGNETICS RESEARCH LETTERS | 2022年 / 107卷
关键词
IMAGE THEORY;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
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 is 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.
引用
收藏
页码:111 / 118
页数:8
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