Abstract
The aim of this paper is to represent the trajectory’s curvature related to the power density of the electromagnetic wave that has been widely described as the Poynting vector. The paper starts from the infinitesimal work equation and transformed by using the vector identities and Maxwell’s equations. The result of this transformation leads to a decoupled representation of the Poynting vector as a separate contribution of the electrical and magnetic fields. The decoupled form of the Poynting vector is emphasized by the presence of the charged particle velocity and its curvature. The discussion is conducted symbolically in order to conclude that the power density produced by a charged particle traveling in an electromagnetic field will decrease as the trajectory’s curvature increases.
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