Analysis on rotational Doppler Effect based on modal expansion method

TL;DR

This paper presents a theoretical analysis of the optical rotational Doppler Effect using a modal expansion method, revealing how surface properties influence frequency shifts and providing insights for related applications.

Contribution

It introduces a modal expansion-based theoretical model that clarifies the physical mechanisms of the rotational Doppler Effect and its dependence on mode indices.

Findings

Frequency shift depends only on the surface of the spinning object.

Reduced Doppler shift is linearly related to mode index change.

The model aids in understanding and guiding applications like rotation detection and OAM measurement.

Abstract

We theoretically investigate the optical rotational Doppler Effect using modal expansion method. We find that the frequency shift content is only determined by the surface of spinning object and the reduced Doppler shift is linear to the change of mode index. The theoretical model makes us better understand the physical processes of rotational Doppler Effect. It can provide theoretical guidance for many related applications, such as detection of rotating bodies, detection of OAM and frequency shift.