Theoretical research on rotating doppler effect based on fringe model

The fringe model can directly explain the principle of dual beam differential Doppler effect. Superimposed state vortex light is a petal-like interference fringe superposed by positive and negative topological charge vortex beams. Based on this, the idea of fringe model is applied to the principle of rotational speed measurement based on the rotation Doppler. The rotation Doppler frequency shift based on the model was derived by means of spatial geometric transformation. According to the relative location between the optical axis of vortex and the object rotation axis, three typical incident conditions which are coincident, offset and tilt are considered. The results show that the frequency shift based on the fringe model is consistent with that of the traditional rotation Doppler model, which proves that the model is suitable for the interpretation of the principle of rotation Doppler velocity measurement. This study provides a more intuitive and concise theoretical explanation for the rotational Doppler effect, which has certain guiding significance.

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