Geometric Algebra for Electrical and Electronic Engineers

J. M. Chappell, S. P. Drake, C. L. Seidel, L. J. Gunn, A. Iqbal, A. Allison, D. Abbott

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

In this paper, we explicate the suggested benefits of Clifford's geometric algebra (GA) when applied to the field of electrical engineering. Engineers are always interested in keeping formulas as simple or compact as possible, and we illustrate that geometric algebra does provide such a simplified representation in many cases. We also demonstrate an additional structural check provided by GA for formulas in addition to the usual checking of physical dimensions. Naturally, there is an initial learning curve when applying a new method, but it appears to be worth the effort, as we show significantly simplified formulas, greater intuition, and improved problem solving in many cases.

Original languageEnglish
Article number6876131
Pages (from-to)1340-1363
Number of pages24
JournalPROCEEDINGS OF THE IEEE
Volume102
Issue number9
DOIs
Publication statusPublished - Sep 2014
Externally publishedYes

Keywords

  • Clifford algebra
  • Doppler effect
  • electromagnetism
  • geometric algebra (GA)
  • Maxwell's equations
  • relativity

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