Comparative study of Eulerian and Lagrangian methods for rotational Doppler effect analysis

Since the experimental verification of the rotational Doppler effect, numerous studies have proposed various mathematical models for frequency shift derivation. However, the characteristics of different models and their impact on results have not been thoroughly analyzed. This paper applies two mathematical models from fluid dynamics - the Eulerian and Lagrangian methods - to rotational Doppler effect analysis. We classify rotational Doppler effect analysis models, validate the feasibility of this analogy, examine the characteristics and applications of both models in rotational Doppler effect analysis, and compare their differences. This study may provide researchers in related fields with a reference framework for selecting analytical methods, thereby enhancing research efficiency.