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Full and semi-analytic analyses of two-pump parametric amplification with pump depletion

This paper solves the four coupled equations describing non-degenerate four-wave mixing, with the focus on amplifying a signal in a fiber optical parametric amplifier (FOPA). Based on the full analytic solution, a simple approximate solution describing the gain is developed. The advantage of this ne...

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Bibliographic Details
Published in:Optics express 2011-03, Vol.19 (7), p.6648-6656
Main Authors: Steffensen, H, Ott, J R, Rottwitt, K, McKinstrie, C J
Format: Article
Language:English
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Summary:This paper solves the four coupled equations describing non-degenerate four-wave mixing, with the focus on amplifying a signal in a fiber optical parametric amplifier (FOPA). Based on the full analytic solution, a simple approximate solution describing the gain is developed. The advantage of this new approximation is that it includes the depletion of the pumps, which is lacking in the usual quasi-linearized approximation. With the proposed model it is thus simple to predict the gain of a FOPA, which we demonstrate with a highly nonlinear fiber to show that an undepleted FOPA can produce a flat gain spectrum with a bandwidth in the 100-nm range, centered on the zero-dispersion wavelength. When running the FOPA in depletion, this range can be slightly increased.
ISSN:1094-4087
1094-4087
DOI:10.1364/OE.19.006648