涂覆各向异性介电球对静电场的扰动理论

IF 0.8 4区工程技术 Q3 MATHEMATICS, APPLIED

Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2023-09-10 DOI:10.1093/qjmam/hbad005

Nikolaos L Tsitsas, Hamad M Alkhoori, Akhlesh Lakhtakia

{"title":"涂覆各向异性介电球对静电场的扰动理论","authors":"Nikolaos L Tsitsas, Hamad M Alkhoori, Akhlesh Lakhtakia","doi":"10.1093/qjmam/hbad005","DOIUrl":null,"url":null,"abstract":"Summary A boundary-value problem was formulated for perturbation of an electrostatic field by a coated dielectric sphere made of two distinct linear anisotropic dielectric (LAD) materials. Specific affine transformations were employed to represent the electric potential inside the core and the coating in terms of the solutions of the Laplace equation. A transition matrix was found to relate the source potential and the perturbation potential in the exterior region. The formulation can be straightforwardly extended to concentrically multilayered spheres made of several homogeneous LAD materials.","PeriodicalId":56087,"journal":{"name":"Quarterly Journal of Mechanics and Applied Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Theory of Perturbation of Electrostatic Field By A Coated Anisotropic Dielectric Sphere\",\"authors\":\"Nikolaos L Tsitsas, Hamad M Alkhoori, Akhlesh Lakhtakia\",\"doi\":\"10.1093/qjmam/hbad005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Summary A boundary-value problem was formulated for perturbation of an electrostatic field by a coated dielectric sphere made of two distinct linear anisotropic dielectric (LAD) materials. Specific affine transformations were employed to represent the electric potential inside the core and the coating in terms of the solutions of the Laplace equation. A transition matrix was found to relate the source potential and the perturbation potential in the exterior region. The formulation can be straightforwardly extended to concentrically multilayered spheres made of several homogeneous LAD materials.\",\"PeriodicalId\":56087,\"journal\":{\"name\":\"Quarterly Journal of Mechanics and Applied Mathematics\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quarterly Journal of Mechanics and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/qjmam/hbad005\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quarterly Journal of Mechanics and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/qjmam/hbad005","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 1

摘要

摘要建立了由两种不同线性各向异性介质(LAD)材料组成的涂层介质球对静电场扰动的边值问题。采用特定的仿射变换，用拉普拉斯方程的解来表示磁芯和涂层内部的电势。发现了一个转移矩阵，将源电位和外部区域的扰动电位联系起来。该配方可以直接推广到由几种均质LAD材料制成的同心多层球体。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Theory of Perturbation of Electrostatic Field By A Coated Anisotropic Dielectric Sphere

Summary A boundary-value problem was formulated for perturbation of an electrostatic field by a coated dielectric sphere made of two distinct linear anisotropic dielectric (LAD) materials. Specific affine transformations were employed to represent the electric potential inside the core and the coating in terms of the solutions of the Laplace equation. A transition matrix was found to relate the source potential and the perturbation potential in the exterior region. The formulation can be straightforwardly extended to concentrically multilayered spheres made of several homogeneous LAD materials.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Quarterly Journal of Mechanics and Applied Mathematics 物理-力学

CiteScore

1.90

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly Journal of Mechanics and Applied Mathematics publishes original research articles on the application of mathematics to the field of mechanics interpreted in its widest sense. In addition to traditional areas, such as fluid and solid mechanics, the editors welcome submissions relating to any modern and emerging areas of applied mathematics.