Open Science Repository Physics

doi: 10.7392/openaccess.45011870

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

Hui Peng

ORCID 0000-0002-1844-3163

Abstract

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.

Keywords: Doppler effect, Doppler frequency, Doppler shift, non-uniform motion, extended Doppler effect, Extended Doppler frequency.

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APA

Peng, H. (2018). Doppler Effect for Non-uniformly Moving Source, Observer, and Mirror. Open Science Repository Physics, Online(open-access), e45011870. http://doi.org/10.7392/OPENACCESS.45011870

MLA

Peng, Hui. “Doppler Effect for Non-Uniformly Moving Source, Observer, and Mirror.” Open Science Repository Physics Online.open-access (2018): e45011870. Web. 14 Aug. 2018.

Chicago

Peng, Hui. “Doppler Effect for Non-Uniformly Moving Source, Observer, and Mirror.” Open Science Repository Physics Online, no. open-access (August 16, 2018): e45011870. doi:10.7392/OPENACCESS.45011870.

Harvard

Peng, H. (2018) ‘Doppler Effect for Non-uniformly Moving Source, Observer, and Mirror’, Open Science Repository Physics. Open Science Repository, Online(open-access), p. e45011870. doi: 10.7392/OPENACCESS.45011870.

Science

1. H. Peng, Doppler Effect for Non-uniformly Moving Source, Observer, and Mirror, Open Sci. Repos. Phys. Online, e45011870 (2018).

Nature

1. Peng, H. Doppler Effect for Non-uniformly Moving Source, Observer, and Mirror. Open Sci. Repos. Phys. Online, e45011870 (2018).

doi

Research registered in the DOI resolution system as: 10.7392/openaccess.45011870

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This work is licensed under a Creative Commons Attribution 3.0 Unported License.