Visualisation of the electromagnetic vector fields

Bartoň, Stanislav

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 7-14

Abstract

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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.

How to cite

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Bartoň, Stanislav. "Visualisation of the electromagnetic vector fields." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 7-14. <http://eudml.org/doc/299021>.

@inProceedings{Bartoň2023,
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.},
author = {Bartoň, Stanislav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {vector field; visualisation; coloring; line of force; animation; Maple},
location = {Prague},
pages = {7-14},
publisher = {Institute of Mathematics CAS},
title = {Visualisation of the electromagnetic vector fields},
url = {http://eudml.org/doc/299021},
year = {2023},
}

TY - CLSWK
AU - Bartoň, Stanislav
TI - Visualisation of the electromagnetic vector fields
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 7
EP - 14
AB - 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.
KW - vector field; visualisation; coloring; line of force; animation; Maple
UR - http://eudml.org/doc/299021
ER -

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