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Differential Forms in Electromagnetic Field Theory

✍ Scribed by Warnick K., Arnold D., Selfridge R.


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English
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✦ Synopsis


Antennas and Propagations Symposium Proceedings, Baltimore, MD, 1996, - 4 pages.
The calculus of differential forms has been applied to electromagnetic field theory in several papers and texts, some of which are cited in the references. Despite this work, differential forms are underused in applied electromagnetics research, partly due to the abstract viewpoint used in most treatments. Differential forms have a simple and intuitive geometrical interpretation which allows problems to be attacked intuitively and sometimes solved before the formal details are developed. It has been known for decades that forms allow Maxwell’s laws to be written elegantly; we find that this is true of other expressions as well. Compared to the usual vector formulation, derivations are often cleaner and final results easier to apply, making the calculus of differential forms a natural tool for applied electromagnetics.

✦ Subjects


Физика;Электродинамика / Электричество и магнетизм


📜 SIMILAR VOLUMES


Teaching electromagnetic field theory us
✍ Warnic K.F., Selfridge R., Arnold D.V. 📂 Library 🌐 English

The calculus of differential forms has significant advatages over traditional methods as a tool for teaching electromagnetic (EM) field theory. First, forms clarify the realationship between field intnsity and flux density, by providing distinct mathematical and graphical representations for the two