Phys. Rev. A 80, 063833 (2009) [12 pages]Wave function for spontaneous parametric down-conversion with orbital angular momentumSee Also: Erratum Received 16 July 2009; published 14 December 2009 Several wave-function approximations describing spontaneous parametric down-conversion can be found in the literature. Basically all cases are derived from the standard Hamiltonian for parametric down-conversion. Most frequently, particular cases describing collinear or paraxial approximations are described. This work presents a wave function in compact form, valid for all cases of single photon-pair conversion (Type I or Type II), for all angles allowed by the phase-matching conditions and for all orbital angular momentum values l. Examples are given of coincidence structures to be expected for signal and idler photons. Partial transfer of orbital angular momentum from the pump laser to the photon pair is discussed. Some hypothesis for the decay channels of the nontransferred part of the orbital angular momentum is made. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.063833
DOI:
10.1103/PhysRevA.80.063833
PACS:
42.65.Lm, 42.50.Dv, 42.50.Tx
See AlsoErratum: Geraldo A. Barbosa, Erratum: Wave function for spontaneous parametric down-conversion with orbital angular momentum [Phys. Rev. A 80, 063833 (2009)], Phys. Rev. A 81, 069904 (2010). |
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