Matrix Dimensional Analysis for Electromagnetic Quantities

Mostafa Ali Rushdi, Ali Muhammad Rushdi

Research output: Contribution to journalArticlepeer-review

Abstract

We utilize the electromagnetically-oriented LTI∅ dimensional basis in the matrix solution of dimensional-analysis (DA) problems involving mainly electromagnetic quantities, whether these quantities are lumped or distributed. Representations in the LTI ∅ basis (compared with the standard MLTI basis) are more informative and much simpler. Moreover, matrix DA computations employing the LTI ∅ basis are more efficient and much less error prone. Extensive discussions of two demonstrative examples expose technical details of a novel DA scheme, and clarify many important facets of modern dimensional analysis.

Original languageEnglish
Pages (from-to)636-644
Number of pages9
JournalInternational Journal of Mathematical, Engineering and Management Sciences
Volume6
Issue number2
DOIs
Publication statusPublished - Apr 2021

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Mathematics(all)
  • Business, Management and Accounting(all)
  • Engineering(all)

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