Rotational Doppler effect on reflection upon an ideal rotating propeller

Olivier Emile (1) , J. Emile (2) , Christian Brousseau (3) , T. Le Guennic (4) , P. Jian (4) , G. Labroille (4)

1 UR - Université de Rennes
2 IPR - Institut de Physique de Rennes
3 IETR - Institut d'Électronique et des Technologies du numéRique
4 CAILabs - CAILabs

The rotational Doppler shift is the counterpart of the usual linear Doppler effect for rotating bodies. We study by an experimental approach coupled with theoretical considerations the rotational shift of a fundamental laser light reflected on an ideal rotating propeller. We decompose the reflected light on a Laguerre–Gaussian basis and show that only modes having the same rotational symmetry as the propeller are involved in the decomposition. The latter experience a frequency shift proportional to the rotation frequency of the propeller and the topological charge of the beam. Extensions of this work in the microwave domain are then considered.

Mots clés: Doppler effect; Experimental approaches; Laguerre-Gaussian; Laser lights; Linear Doppler; Reflected light; Rotating bodies; Rotational doppler; Rotational Doppler effects; Rotational shift; Rotational symmetries; Propellers

Domaines: Sciences de l'ingénieur [physics]; Physique [physics]

Olivier Emile, J. Emile, Christian Brousseau, T. Le Guennic, P. Jian, et al.. Rotational Doppler effect on reflection upon an ideal rotating propeller. Journal of the Optical Society of America B, 2022, 39 (7), pp.1945-1949. ⟨10.1364/JOSAB.461445⟩. ⟨hal-03718141⟩