Undergraduate electromagnetics: a new paradigm

Abstract

The traditional use of differential and integral vector calculus as the basis for undergraduate electromagnetic courses is reconsidered. A compelling case is made for improved student understanding by basing introductory electromagnetics on two mutually supporting principles-spatial discretization and numeric formulation. Dividing space into discrete cells facilitates casting the laws of electromagnetics in terms of lumped element circuit theory. The vector nature of fields evolves naturally from the behavior of these discrete circuit elements. Numeric formulations for discretized space similar to those used by electromagnetic professionals take the form of remarkably simple models and algorithms. Powerful computer engines and graphics operate on these formulations to solve real world applications and bring the physical concepts to life. This work in progress is presented to stimulate audience comments and discussion.