Vol. 1 No. 1 (2018)
Open Access
Peer Reviewed

ELECTROMAGNETIC WAVE EQUATION ON DIFFERENTIAL FORM REPRESENTATION

Authors

I Gusti Ngurah Yudi Handayana

DOI:

10.29303/ipr.v1i1.12

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Received: Oct 27, 2018
Accepted: Oct 30, 2018
Published: Oct 30, 2018

Abstract

One of the indispensable part of the theoretical physics interest is geometry differential. This one interest of physical area has been developed such as in electromagnetism. Maxwell's equations have been generalized in two covariant forms in differential form representation. A beautiful calculus vector in this representation, such as exterior derivative and Hodge star operator, lead this study. Electromagnetic wave equation has been expressed in differential form representation using Laplace-de Rham operator. Explicitly, wave equation shows the same form in Minkowski space-time like vector representation. This study is able to introduce us to learn application of  differential form in physics.

References

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Deschamps, G. A. (1981). Electromagnetics and Differential Forms. Proceedings of the IEEE, 69, 6, 676-696.

Warnick, F., Selfridge, R. H., & Arnold, D. V. (1997). Teaching Electromagnetic Field Theory Using Differential Form. IEEE Transactions on Education, 40, 1, 53-68.

Solomon Akaraka Owerre. (2010). Maxwell’s Equations in terms of Differential Forms. African Institute for Mathematical Sciences (AIMS).

Hossine, Z. and Ali, S. (2017). Homogeneous and inhomogeneous maxwell’s Equations in terms of hodge star operator. GANIT J. Bangladesh Math. Soc. 37, 15-27

Nakahara, M. (2003). Geometry, Topology and Physics 2 ed. London: Institut of Physics Publishing

Warnick, K., and Russer, P. (2006). Two, Three and Four-Dimensional Electromagnetics Using Differential Forms. Turk J Elec Engin, 14, 1, 153-172.

Author Biography

I Gusti Ngurah Yudi Handayana, Physics departement,FMIPA, Universitas Mataram

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How to Cite

Handayana, I. G. N. Y. (2018). ELECTROMAGNETIC WAVE EQUATION ON DIFFERENTIAL FORM REPRESENTATION. Indonesian Physical Review, 1(1), 7. https://doi.org/10.29303/ipr.v1i1.12