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Conference on Lasers and Electro-Optics

Role of pump-beam orbital angular momentum in type-II parametric down-conversion

Sheng Feng, Chao-Hsiang Chen, Geraldo A. Barbosa, Prem Kumar

Published Jan 1, 2006• 0 citations
Publisher

Abstract

We experimentally show that nonzero pump-beam angular momentum plays a different role in type-II parametric down-converstion than in type-I. We explore the reason(s) why pump-beam profile does not appear in coincidence imaging of type-II down-converstion.
DOI
10.1109/cleo.2006.4629148

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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 lll. 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.