Liénard-Wiechert Retarded Potentials Derived from the Electrodynamic Doppler Effect: https://arxiv.org/abs/2202.05393
Fulvio Parmigiani, Giovanni Perosa, Simone Di Mitri
Here electrodynamic retarded potentials are derived considering the Doppler shifted electromagnetic (e.m.) field generated by a charge moving along a generic trajectory. This alternative route allows a direct physical interpretation of the Doppler term (v/c) characterizing these potentials. Meanwhile, it does not incur mathematically questionable aspects or it does not hide the physical nature of these potentials when the charge volume is taken to the infinitesimal limit of a point charge or when mathematical developments derived from special relativity are used. The process outlined here is mathematically rigorous and elegant and sheds light on the physics underlying the origin of the retarded potential, making the understanding of the radiation processes by a moving charge more accessible to students, teachers, and scholars.
Comments: 9+3 pages, 1 figure