Optical angular momentum in a rotating frame

Speirits, F. C. , Lavery, M. P. J. , Padgett, M. J. and Barnett, S. M. (2014) Optical angular momentum in a rotating frame. Optics Letters, 39(10), pp. 2944-2946. (doi: 10.1364/OL.39.002944)

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It is well established that light carrying orbital angular momentum (OAM) can be used to induce a mechanical torque causing an object to spin. We consider the complementary scenario: will an observer spinning relative to the beam axis measure a change in OAM as a result of their rotational velocity? Remarkably, although a linear Doppler shift changes the linear momentum of a photon, the angular Doppler shift induces no change in the angular momentum. Further, we examine the rotational Doppler shift in frequency imparted to the incident light due to the relative motion of the beam with respect to the observer and consider what must happen to the measured wavelength if the speed of light c is to remain constant. We show specifically that the OAM of the incident beam is not affected by the rotating observer and that the measured wavelength is shifted by a factor equal and opposite to that of the frequency shift induced by the rotational Doppler effect.

Item Type:Articles
Additional Information:This paper was published in Optics Letters and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/OL.39.002944 Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Glasgow Author(s) Enlighten ID:Lavery, Professor Martin and Padgett, Professor Miles and Speirits, Dr Fiona and Barnett, Professor Stephen
Authors: Speirits, F. C., Lavery, M. P. J., Padgett, M. J., and Barnett, S. M.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
College of Science and Engineering > School of Physics and Astronomy
Journal Name:Optics Letters
Publisher:Optical Society of America
ISSN (Online):1539-4794
Copyright Holders:Copyright © 2014 Optical Society of America
First Published:First published in Optics Letters 39(10):2944-2946
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
549871Challenges in Orbital Angular MomentumMiles PadgettEngineering & Physical Sciences Research Council (EPSRC)EP/I012451/1P&A - PHYSICS & ASTRONOMY