Quantum frequency translation by four-wave mixing in a fiber: low-conversion regime.

Lasse Mejling Andersen; C. J. McKinstrie; M. G. Raymer; K Rottwitt

doi:10.1364/OE.20.008367

Quantum frequency translation by four-wave mixing in a fiber: low-conversion regime.

Lasse Mejling Andersen, C. J. McKinstrie, M. G. Raymer, K Rottwitt

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Abstract

In this paper we consider frequency translation enabled by Bragg scattering, a four-wave mixing process. First we introduce the theoretical background of the Green function formalism and the Schmidt decomposition. Next the Green functions for the low-conversion regime are derived perturbatively in the frequency domain, using the methods developed for three-wave mixing, then transformed to the time domain. These results are also derived and verified using an alternative time-domain method, the results of which are more general. For the first time we include the effects of convecting pumps, a more realistic assumption, and show that separability and arbitrary reshaping is possible. This is confirmed numerically for Gaussian pumps as well as higher-order Hermite-Gaussian pumps.

Original language	English
Journal	Optics Express
Volume	20
Issue number	8
Pages (from-to)	8367-8396
ISSN	1094-4087
DOIs	https://doi.org/10.1364/OE.20.008367
Publication status	Published - 2012

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/oe/abstract.cfm?uri=oe-20-8-8367. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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title = "Quantum frequency translation by four-wave mixing in a fiber: low-conversion regime.",

abstract = "In this paper we consider frequency translation enabled by Bragg scattering, a four-wave mixing process. First we introduce the theoretical background of the Green function formalism and the Schmidt decomposition. Next the Green functions for the low-conversion regime are derived perturbatively in the frequency domain, using the methods developed for three-wave mixing, then transformed to the time domain. These results are also derived and verified using an alternative time-domain method, the results of which are more general. For the first time we include the effects of convecting pumps, a more realistic assumption, and show that separability and arbitrary reshaping is possible. This is confirmed numerically for Gaussian pumps as well as higher-order Hermite-Gaussian pumps.",

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N1 - 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/oe/abstract.cfm?uri=oe-20-8-8367. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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Quantum frequency translation by four-wave mixing in a fiber: low-conversion regime.

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