Mechanism interpretation of the vortex beam rotational Doppler effect

摘要

Vortex beam rotational Doppler effect has been verified by experiments. But its mechanism interpretation is still being studied. Firstly, this paper introduces the vortex beam and its rotational Doppler effect, and then explains vortex beam rotational Doppler effect based on the Doppler effect and Sagnac effect. In 2014, professor Miles Padett proposed that the classical Doppler effect can be used to explain vortex beam rotational Doppler effect. This thesis gives its complete process by utilizing resolution of vectors on the spiral wave fronts. Based on the Sagnac effect, this paper uses the principle of independently propagating to deduce the formula of the superimposed vortex beam rotational Doppler effect. The mechanism derivation results agrees with the experimental results, which proves the accuracy and advantage of the mechanism derivation methods in this article. Moreover, this thesis also discovers the high order correction terms of the formula.