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Figure 3
Analysis of the longitudinal Doppler shift with an experiment similar to Fig. 1[link] but with the source separated from the detector. The experiment detects a periodic series of light pulses. The detector is equipped with a numerical display showing the accumulated number of pulses. (a) A comparison of the wave with the corresponding intensity shows that each wavelength corresponds to two pulses. (b) In the frame R, source and detector do not move, whereas (c) in the frame R′, moving with speed −v with respect to R, source and detector travel with speed v. The accumulated number of `clicks' shown by the display is the same in R and R′. This leads to the correct longitudinal Doppler shift formula, equation (6)[link], only if one uses the speed difference c − v and not c.

Journal logoJOURNAL OF
SYNCHROTRON
RADIATION
ISSN: 1600-5775
Volume 33| Part 5| September 2026|
https://doi.org/10.1107/S160057752600603X
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