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

Henrik Steffensen, Johan Raunkjær Ott, Karsten Rottwitt, C.J. McKinstrie

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    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. © 2011 Optical Society of America.
    Original languageEnglish
    JournalOptics Express
    Issue number7
    Pages (from-to)6648-6656
    Publication statusPublished - 2011

    Bibliographical note

    This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/abstract.cfm?URI=oe-19-7-6648. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.


    • Fiber optics communications
    • Nonlinear optics, fibers
    • Fiber optics amplifiers and oscillators


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