Modeling analysis of the electrostatic interaction between a nth-order electric multipole moment and dielectric layers utilizing the image multipole method

IF 1.9 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Journal of Electrostatics Pub Date : 2024-03-16 DOI:10.1016/j.elstat.2024.103906

Yue Feng , Zilong Zhou , Yanhui Han , Zhiliang Gao , Xu Tang , ShanShan Ma , Ying Xiong

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Abstract

Accurate determination of the electrostatic force exerted on multipole moments is essential in comprehending the interaction between charged bodies and dielectric layers. A comprehensive solution is presented in this study for the calculation of the electric potential, field, and force generated by nth-order electric multipole above a semi-infinite dielectric body covered by a dielectric layer using the image multipole method. The present study investigates the impact of dielectric thickness, permittivity, and separation distance on the electrostatic interaction between an electric multipole moment and a semi-infinite dielectric body. The calculation results indicate that as the thickness of the dielectric layer increases and the dielectric constant of the surrounding medium surpasses that of the dielectric layer, the electrostatic attractive force undergoes a transition to a repulsive force. The magnitude of the electrostatic force acting on a nth-order electric multipole moment is directly proportional to the square of the value of the electric multipole moment and inversely proportional to the 2 (n+1) power of the distance.

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利用图像多极法对 nth 阶电多极矩与介电层之间的静电相互作用进行建模分析

准确测定施加在多极矩上的静电力对于理解带电体与介电层之间的相互作用至关重要。本研究采用图像多极子方法，提出了计算介电层覆盖的半无限介电体上方 nth 阶电多极子产生的电动势、场和力的综合解决方案。本研究探讨了介质厚度、介电常数和分离距离对电多极矩与半无限介质体之间静电相互作用的影响。计算结果表明，随着电介质层厚度的增加以及周围介质的介电常数超过电介质层的介电常数，静电吸引力会过渡到排斥力。作用在 n 阶电多极矩上的静电力大小与电多极矩值的平方成正比，与距离的 2 (n+1) 次方成反比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Electrostatics 工程技术-工程：电子与电气

CiteScore

4.00

自引率

11.10%

发文量

审稿时长

49 days

期刊介绍： The Journal of Electrostatics is the leading forum for publishing research findings that advance knowledge in the field of electrostatics. We invite submissions in the following areas: Electrostatic charge separation processes. Electrostatic manipulation of particles, droplets, and biological cells. Electrostatically driven or controlled fluid flow. Electrostatics in the gas phase.