Classical Physics


Doppler Effect for Non-uniformly Moving Source, Observer, and Mirror

Authors: Hui Peng

Doppler effect has been applied to study the accelerating universe and to daily life. We believe that to describe non-uniform moving system, physics laws should include terms of acceleration/deceleration for accuracy and completeness. In this article, we study systematically the effects of non-uniform motion of either source, or observer, or mirror on Doppler effect, called it the Extended Doppler effect. We show that, indeed, the non-uniform motion not only shifts wavelength/frequency but also changes wavelength/frequency and Extended Doppler shift continuously. There is no transformation between non-uniform moving reference frames. We derived Extended Doppler effect for non-uniform moving source, observer, and mirror based on (1) the speed of light wave is the same for all non-uniform moving frames; (2) geometric optical principles hold. We show that, for slow non-uniform motion, the shifts of wavelength/frequency depend on the relative velocity and relative acceleration/deceleration.

Comments: 24 Pages. Thanks very much for your consideration.

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Submission history

[v1] 2018-08-17 19:40:10

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