Journal
OPTICS LETTERS
Volume 45, Issue 18, Pages 5152-5155Publisher
OPTICAL SOC AMER
DOI: 10.1364/OL.400878
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Funding
- National Natural Science Foundation of China [61975169, 91636109]
- Fundamental Research Funds for the Central Universities at Xiamen University [20720190057]
- Natural Science Foundation of Fujian Province of China for Distinguished Young Scientists [2015J06002]
- Program for New Century Excellent Talents in University of China [NCET-13-0495]
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While linear or angular position and momentum can be linked by a continuous or discrete Fourier transform, there are some subtle problems in the analogous Fourier relationship between radial position and radial momentum in history. Here we exploit radial position and newly introduced radial momentum variables to report a radial version of light's diffraction. The mask with single or multiple radial slits confines the light to a radial transmission function. As a result, in the radial momentum state space, we can observe the diffraction sidebands generated on the transmitted light due to a transverse restriction of the radial range. Our experimental results clearly reveal the intriguing diffraction behaviors between radial position and radial momentum variables at the single-photon level, making them another candidate for fundamental tests of quantum mechanics and for a variety of quantum information applications. (C) 2020 Optical Society of America
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