Picture of athlete cycling

Open Access research with a real impact on health...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the Physical Activity for Health Group based within the School of Psychological Sciences & Health. Research here seeks to better understand how and why physical activity improves health, gain a better understanding of the amount, intensity, and type of physical activity needed for health benefits, and evaluate the effect of interventions to promote physical activity.

Explore open research content by Physical Activity for Health...

Fourier relationship between angular position and optical orbital angular momentum

Yao, Eric and Franke-Arnold, Sonja and Courtial, Johannes and Barnett, Stephen M. and Padgett, Miles (2006) Fourier relationship between angular position and optical orbital angular momentum. Optics Express, 14 (20). pp. 9071-9076. ISSN 1094-4087

[img]
Preview
Text (strathprints006170)
strathprints006170.pdf - Accepted Author Manuscript

Download (309kB) | Preview

Abstract

We demonstrate the Fourier relationship between angular position and angular momentum for a light mode. In particular we measure the distribution of orbital angular momentum states of light that has passed through an aperture and verify that the orbital angular momentum distribution is given by the complex Fourier-transform of the aperture function. We use spatial light modulators, configured as diffractive optical components, to define the initial orbital angular momentum state of the beam, set the defining aperture, and measure the angular momentum spread of the resulting beam. These measurements clearly confirm the Fourier relationship between angular momentum and angular position, even at light intensities corresponding to the single photon level.