A Geometric Derivation of the Doppler Shift for Light
Abstract
The Doppler effect for light is analyzed using a geometric description of light propagation in vacuum. By considering the actual displacement of the light source relative to the observer during the propagation time of the light signal, expressions for the change in wavelength for approaching and receding motion are derived. The analysis relies solely on the speed of light and the relative velocity between the source and the observer and leads to the classical expressions for the Doppler shift. Figure-based reasoning is used to clarify the geometric relationships.
Fields of Study & Subjects
Relativity and Gravitational Theory
Quantum and Classical Electrodynamics
Scientific Research and Discoveries
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 February 2026
- Language
- EN
- Document type
- Preprint