Vector Field Platform for Visualizing Electric and Magnetic Fields in Matter using Mathematica

1 Department of Microbial & Nanomaterials, Mokwon University, Daejeon 35349, Korea
2 College of Techno-Sciences, Mokwon University, Daejeon 35349, Korea
Correspondence to: Hee-Joong Yun
Abstract
Electromagnetic vector fields are composed of elaborate mathematical structures described with vector differential operators, and physicists cannot intuitively understand and distinguish of them. If one intends to learn about the changes in the electric displacement D in medium of polarization P, or the magnetic intensity H in the medium of magnetization M, knowing the features of the fields is impossible unless one calculates and visualizes them. Here, a vector fields platform visualizing the most basic vector fields: = $-\nabla\varphi$, B = $\nabla\times$ A, D = $\varepsilon_0$E+P, H = $-\nabla\varphi*$, and B = $\mu_0$(H+M), present the fields with its norms in the vector differential mode completely in Mathematica.
PACS numbers: 01.40.gb, 01.30.Mm, 41.20.Cv, 07.05.Tp, 75.20.-g
Keywords: Electromagnetic vector field, Mathematica, Vector differential operators, Mathematica simulation, Vector field visualization

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