Visualisation of the electromagnetic vector fields

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.