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arXiv:0912.1543 · Journal of Russian Laser Research

Angular uncertainty of momentum correlations in parametric fluorescence

Martin Hamar, Jan Peřina, Václav Michálek, Ondřej Haderka

Published Sep 1, 2009• 0 citations
arXivHTMLPDF
DOI
10.1007/s10946-009-9090-1

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We present a full vectorial analysis of the parametric downconversion process using a pump Bessel beam and a photon description based on Bessel wavefunctions. We find that, under the considered geometry, optical angular momentum is conserved but the crystal induces a coupling between the optical spin angular momentum (SAM) and the optical orbital angular momentum (OAM) ruled by the nonlinear properties of the crystal via the second order susceptibility tensor ?ijk(2). This leads to nontrivial correlations between the expected values of the SAM and OAM of the resulting two-photon states. Distributions of orbital angular momentum of the downconverted photons are evaluated in detail for a specific set-up.