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.

Download: PDF

Submission history

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

Unique-IP document downloads: 16 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus