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We theoretically investigate the optical rotational Doppler Effect usingmodal expansion method. We find that the frequency shift content is onlydetermined by the surface of spinning object and the reduced Doppler shift islinear to the change of mode index. The theoretical model makes us betterunderstand the physical processes of rotational Doppler Effect. It can providetheoretical guidance for many related applications, such as detection ofrotating bodies, detection of OAM and frequency shift.

Analysis on rotational Doppler Effect based on modal expansion method