Lienard-Wiechert solution revisited
Nikolai V. Mitskievich
Abstract
A self-consistent consideration of the Lienard-Wiechert solition is given including its heuristic deduction, which involves a future light cone (thus the lightlike propagation of information from an arbitrarily moving pointlike charge), and physical interpretation of this field via application of three distinct reference frames (of an inertial observer, then a non-inertial one retardedly co-moving with the charged source, and finally, co-moving with the electromagnetic field). In the last frame the magnetic part of the Lienard-Wiechert field identically (though not asymptotically) vanishes in all spacetime together with the Poynting vector. In the second frame, the properties of energy redistribution and radiation of the field are discussed. The dynamically caused propagation velocity of the Lienard-Wiechert electromagnetic field in a vacuum at any final distance from the source is less than that of light.
Create a lesson
Related papers
The dual-array RopeComb: a guide-balanced transmission with synthesisable rising mechanical advantage for impedance-matched launch
Rami N. Mahdi
Automated Sailboat Navigation using Controllabilty-Aware Nonlinear Model Predicitive Control under Stochastic Winds
Junzhuo Wu, Ya-Jun J Pan, Chao Shen et al.
Restoring Invariance to the Mechanical Wave Equation across Inertial Frames
Ashmeet Singh, Heather Romero Michel
Parametric excitation of rotational soft modes of the buckled discrete elastic ring
Panagiotis Koutsogiannakis, Massimo Ruzzene
Similarities between the speed limit in relativity and the sound barrier in inviscid fluid flows
F Salmon
Generalized reverberation theory in diffuse sound fields: Introducing mean residual free path for macroscopic and microscopic unification
Toshiki Hanyu