English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present an in depth analysis and a new derivation of the Doppler factor inthe Lienard-Wiechert potentials, based on geometrical considerations inMinkowski space. We argue that, contrary to a common assumption, the methodsused for deriving the Doppler factor in the case of an electrically chargedextended particle are not applicable in the case of a point particle. Ageometrical interpretation of the Doppler factor is nonetheless found in thelater case, based on the electromagnetic interaction model of Fokker. In thismodel the interaction takes place between infinitesimal worldline segments withend points connected by light signals, just like the points where light pulsesare emitted and detected in general. This analogy reveals that the relativisticDoppler effect is the missing link between the classical Doppler effect and theDoppler factor in the Lienard-Wiechert potentials.

The geometrical origin of the Doppler factor in the Lienard-Wiechert potentials