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Optics Letters

Semiclassical model of triple photons generation in optical fibers

S. Richard, Kamel Bencheikh, Benoı̂t Boulanger, Juan Ariel Levenson

Published Aug 1, 2011• 43 citations
Publisher

Abstract

In this Letter we study spontaneous generation of triple photon states in optical fibers by third order spontaneous downconversion. Using a semiclassical approach we derive an explicit expression for the triple photons generation efficiency as a function of fiber parameters. We show that optical fibers with well suited index profiles and standard outer diameters could be the key component of future triple photons sources.

DOI
10.1364/ol.36.003000

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In this Letter we study spontaneous generation of triple photon states in optical fibers by third order spontaneous downconversion. Using a semiclassical approach we derive an explicit expression for the triple photons generation efficiency as a function of fiber parameters. We show that optical fibers with well suited index profiles and standard outer diameters could be the key component of future triple photons sources.
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This paper presents a study of the phasematching properties of the third-order parametric down-conversion process in multimode optical fibers with a step-index profile. Through this process, entangled photon triplets can be generated in the spontaneous regime. We show that phasematching is achieved in a wide range of fiber geometries, provided that the pump field propagates in a higher-order mode. Furthermore, we show the nonlinear coefficient and the absolute emitted flux for each source configuration, evaluated from expressions derived by us in previous theoretical studies concerning the spontaneous and stimulated emission regimes.
We study the third-order spontaneous parametric down-conversion (TOSPDC) process, as a means to generate entangled photon triplets. Specifically, we consider thin optical fibers as the nonlinear medium to be used as the basis for TOSPDC in configurations where phase matching is attained through the use of more than one fiber transverse modes. Our analysis in this paper, which follows from our earlier paper [Opt. Lett. 36, 190--192 (2011)], aims to supply experimentalists with the details required in order to design a TOSPDC photon-triplet source. Specifically, our analysis focuses on the photon triplet state, on the rate of emission, and on the TOSPDC phase-matching characteristics for the cases of frequency-degenerate and frequency nondegenerate TOSPDC.