可视化的电磁矢量场

S. Barton
{"title":"可视化的电磁矢量场","authors":"S. Barton","doi":"10.21136/panm.2022.01","DOIUrl":null,"url":null,"abstract":"Modern computer algebra software can be used to visualize vector fields. One of the most used is the Maple program. This program is used to visualize two and three-dimensional vector fields. The possibilities of plotting direction vectors, lines of force, equipotential curves and the method of colouring the surface area for two-dimensional cases are shown step by step. For three-dimensional arrays, these methods are applied to various slices of three-dimensional space, such as a plane or a cylindrical surface. Finally, the temporal evolution of the vector fields is illustrated by animations based on the above methods. In contrast to the publication [2], which deals only with the problem of colouring vector fields, the present paper makes a completely comprehensive study of the problem, including the representation of vectors in a predefined network, the computation of the shape of power lines, and the animation of time changes, including the animation of the coloured vector fields.","PeriodicalId":197168,"journal":{"name":"Programs and Algorithms of Numerical Mathematics 21","volume":"76 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Visualisation of the electromagnetic vector fields\",\"authors\":\"S. Barton\",\"doi\":\"10.21136/panm.2022.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Modern computer algebra software can be used to visualize vector fields. One of the most used is the Maple program. This program is used to visualize two and three-dimensional vector fields. The possibilities of plotting direction vectors, lines of force, equipotential curves and the method of colouring the surface area for two-dimensional cases are shown step by step. For three-dimensional arrays, these methods are applied to various slices of three-dimensional space, such as a plane or a cylindrical surface. Finally, the temporal evolution of the vector fields is illustrated by animations based on the above methods. In contrast to the publication [2], which deals only with the problem of colouring vector fields, the present paper makes a completely comprehensive study of the problem, including the representation of vectors in a predefined network, the computation of the shape of power lines, and the animation of time changes, including the animation of the coloured vector fields.\",\"PeriodicalId\":197168,\"journal\":{\"name\":\"Programs and Algorithms of Numerical Mathematics 21\",\"volume\":\"76 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Programs and Algorithms of Numerical Mathematics 21\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/panm.2022.01\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Programs and Algorithms of Numerical Mathematics 21","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/panm.2022.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

现代计算机代数软件可以用来可视化向量场。其中最常用的是Maple程序。这个程序是用来可视化二维和三维矢量场。逐步给出了在二维情况下绘制方向矢量、力线、等势曲线的可能性,以及给曲面上色的方法。对于三维阵列,这些方法适用于三维空间的各种切片,例如平面或圆柱形表面。最后,基于上述方法,用动画的形式展示了矢量场的时间演化过程。与[2]出版物只讨论矢量场的着色问题不同,本文对该问题进行了全面的研究,包括矢量在预定义网络中的表示、电线线形状的计算以及时间变化的动画,包括着色矢量场的动画。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Visualisation of the electromagnetic vector fields
Modern computer algebra software can be used to visualize vector fields. One of the most used is the Maple program. This program is used to visualize two and three-dimensional vector fields. The possibilities of plotting direction vectors, lines of force, equipotential curves and the method of colouring the surface area for two-dimensional cases are shown step by step. For three-dimensional arrays, these methods are applied to various slices of three-dimensional space, such as a plane or a cylindrical surface. Finally, the temporal evolution of the vector fields is illustrated by animations based on the above methods. In contrast to the publication [2], which deals only with the problem of colouring vector fields, the present paper makes a completely comprehensive study of the problem, including the representation of vectors in a predefined network, the computation of the shape of power lines, and the animation of time changes, including the animation of the coloured vector fields.
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
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信