Non-collinear rotational Doppler effect
Abstract
The frequency shift of a helical light beam experiencing the rotation near the axis deferring from its own axis (conical evolution) is studied theoretically. Both the energy and the kinematic approaches lead to a paradoxical conclusion that after a whole cycle of the system rotation the beam does not return to its initial state. Another paradox is manifested in the peculiar behavior of the beam transverse pattern rotation at different geometric parameters of the evolving system. A fundamental role of the detecting system motion is substantiated. The special "natural" observer's motion is found for which both paradoxes are eliminated. Relations of the described facts with the Hannay's geometric phase concept are discussed.
Cite
@article{arxiv.2001.11205,
title = {Non-collinear rotational Doppler effect},
author = {Aleksandr Bekshaev and Andrey Popov},
journal= {arXiv preprint arXiv:2001.11205},
year = {2020}
}
Comments
12 pages, 9 figures. This is a full-text conference paper designed for further presentation in a regular physical journal. The timely journal publication did not happen, and there were no other publications on the non-collinear RDE since 2004. As the topic still looks curious and instructive, increasing the paper's visibility seems reasonable. To this purpose it is now exposed in the ArXiv