Visualizing Electromagnetic Vector Fields in Matter using MATHEMATICA

Abstract

The quantities of dynamic physics including gravitational field and electromagnetic field are accurately described using vector differential operators. Electromagnetism is notably more conceptual in matter compared to vacuum because abstract, three-dimensional fields that are sometimes difficult to visualize are involved in most analysis. A visual representation of abstract vector fields in matter is invaluable to students or researchers working in this field and may also assist teachers in teaching electromagnetism to physics or engineering students. We successfully visualized the most fundamental concepts of the electromagnetic vector calculated and estimated using vector differential operators in Mathematica. This visualization based on vector calculations can be used as a starting platform for the further exploration of electromagnetic vector fields.