Effects of Raman scattering and attenuation in silica fiber-based parametric frequency conversion
S{\o}ren M. M. Friis, Lasse Mejling, and Karsten Rottwitt

TL;DR
This paper analyzes how Raman scattering and attenuation affect the efficiency and quantum noise in silica fiber-based parametric frequency conversion using Bragg scattering, providing new formulas that include these effects.
Contribution
It introduces a semi-classical model that accounts for loss and Raman scattering in quantum frequency conversion, offering explicit expressions for efficiency and noise figure.
Findings
Raman scattering and attenuation significantly impact conversion efficiency.
Derived explicit formulas for noise figure including Raman effects.
Quantified the impact of loss and Raman scattering on quantum noise.
Abstract
Four-wave mixing in the form of Bragg scattering (BS) has been predicted to enable quantum noise less frequency conversion by analytic quantum approaches. Using a semi-classical description of quantum noise that accounts for loss and stimulated and spontaneous Raman scattering, which are not currently described in existing quantum approaches, we quantify the impacts of these effects on the conversion efficiency and on the quantum noise properties of BS in terms of an induced noise figure (NF). We give an approximate closed-form expression for the BS conversion efficiency that includes loss and stimulated Raman scattering, and we derive explicit expressions for the Raman-induced NF from the semi-classical approach used here.
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