Fourier relationship between angular position and optical orbital angular momentum
Yao, Eric and FrankeArnold, 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. 90719076. ISSN 10944087

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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 Fouriertransform 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.
Item type:  Article 

ID code:  6170 
Keywords:  physics, optics, fourier relationship, light, photons, angular momentum, beam, aperture, Optics. Light, Atomic and Molecular Physics, and Optics 
Subjects:  Science > Physics > Optics. Light 
Department:  Faculty of Science > Physics 
Depositing user:  Miss Darcy Spiller 
Date Deposited:  21 May 2008 
Last modified:  22 Jul 2016 04:40 
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URI:  http://strathprints.strath.ac.uk/id/eprint/6170 
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