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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
Two-photon optics of Bessel-Gaussian modes
Physical Review A - Atomic, Molecular, and Optical Physics, Volume 88, No. 3, Article 033818, Year 2013
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Description
In this paper we consider geometrical two-photon optics of Bessel-Gaussian modes generated in spontaneous parametric down-conversion of a Gaussian pump beam. We provide a general theoretical expression for the orbital angular momentum (OAM) spectrum and Schmidt number in this basis and show how this may be varied by control over the radial degree of freedom, a continuous parameter in Bessel-Gaussian modes. As a test we first implement a back-projection technique to classically predict, by experiment, the quantum correlations for Bessel-Gaussian modes produced by three holographic masks: a blazed axicon, a binary axicon, and a binary Bessel function. We then proceed to test the theory on the down-converted photons using the binary Bessel mask. We experimentally quantify the number of usable OAM modes and confirm the theoretical prediction of a flattening in the OAM spectrum and a concomitant increase in the OAM bandwidth. The results have implications for the control of dimensionality in quantum states. © 2013 American Physical Society.
Authors & Co-Authors
McLaren, Melanie G.
South Africa, Pretoria
The Council for Scientific and Industrial Research
South Africa, Stellenbosch
Stellenbosch University
Romero, Jacquiline
United Kingdom, Glasgow
University of Glasgow
Padgett, Miles J.
United Kingdom, Glasgow
University of Glasgow
Roux, Filippus Stef
South Africa, Pretoria
The Council for Scientific and Industrial Research
Forbes, Andrew D.
South Africa, Pretoria
The Council for Scientific and Industrial Research
South Africa, Stellenbosch
Stellenbosch University
Statistics
Citations: 44
Authors: 5
Affiliations: 3
Identifiers
Doi:
10.1103/PhysRevA.88.033818
ISSN:
10502947
e-ISSN:
10941622
Study Approach
Quantitative