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.
With high precision and sensitivity, quantum gyroscope has become a research hotspot of inertial technology in recent years. Because the Bose-Einstein Condensate (BEC) in atomic gas has more condensate atoms, atomic gas is pure and thin, and there is no friction in atoms, the matter–wave gyroscopy with counter-rotating vortex superpositions has great potential of higher sensitivity, higher precision, and miniaturization. The basic mechanism and sensitivity of the matter– wave gyroscopy with counter-rotating vortex superpositions were analyzed, and the interaction between superposition of vortex beams and BEC atomic gases were studied, it is Stimulated Raman Adiabatic Passage (STIRAP). In the study, the outstanding issue that the gyroscopy is difficult to obtain stable vortices with high order orbital angular momentum was clarified by theoretical derivation on the base of Gross-Pitaevskii equation which is the basic equation in BEC. For solving the above problems, the scheme which is easy to achieve based on Sombrero potential trap was proposed.
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