The geometrical origin of the Doppler factor in the Lienard-Wiechert potentials
| Autor: | Calin Galeriu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Point particle Infinitesimal Classical Physics (physics.class-ph) FOS: Physical sciences General Physics and Astronomy Physics - Classical Physics Relativistic Doppler effect Physics::Classical Physics Interpretation (model theory) symbols.namesake Electromagnetic interaction Classical mechanics Minkowski space symbols Link (knot theory) Doppler effect |
| Popis: | We present an in depth analysis and a new derivation of the Doppler factor in the Lienard-Wiechert potentials, based on geometrical considerations in Minkowski space. We argue that, contrary to a common assumption, the methods used for deriving the Doppler factor in the case of an electrically charged extended particle are not applicable in the case of a point particle. A geometrical interpretation of the Doppler factor is nonetheless found in the later case, based on the electromagnetic interaction model of Fokker. In this model the interaction takes place between infinitesimal worldline segments with end points connected by light signals, just like the points where light pulses are emitted and detected in general. This analogy reveals that the relativistic Doppler effect is the missing link between the classical Doppler effect and the Doppler factor in the Lienard-Wiechert potentials. one typo corrected, and more consistent notation for the source charge at point C (previously also labeled 1), and for the field point P (previously also labeled 2 or A) |
| Databáze: | OpenAIRE |
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