Abstract
This article deals with the study of electromagnetic waves equations and the Lorentz condition, as emergent properties of Maxwell’s system in the context of systems theory. To do this, the wave equations and the Helmholtz equation are first deduced. Using the displaced Dirac operator, which is closely related to the main vector calculation operators, it is possible to establish a direct connection between the solutions of the Maxwell time-harmonic system and two quaternion equations. Also, the application of the Lorentz condition to transform the time-harmonic Maxwell system into a simple quaternion equation based on the scalar and vector potentials is exposed.
Translated title of the contribution | Lorentz condition and electromagnetic waves equations as emergent properties of the Maxwell system |
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Original language | Spanish |
Pages (from-to) | 767-777 |
Number of pages | 11 |
Journal | Ingeniare |
Volume | 29 |
Issue number | 4 |
DOIs | |
State | Published - 1 Dec 2021 |