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arXiv:quant-ph/0205194 · Optics Communications

Eliminating nonlinear phase mismatch in resonantly enhanced four-wave mixing

Mattias Johnsson, Eugeny Korsunsky, Michael Fleischhauer

Published Oct 21, 2002• 15 citations
arXivHTMLPDF
DOI
10.1016/s0030-4018(02)02013-8

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By applying a strong coupling field between a lower state and the upper state of an allowed transition to ground, an enhancement of nondegenerate four wave mixing (NDFWM) with a resonantly enhanced third-order nonlinear susceptibility in a rare-earth doped fiber can be obtained. We have derived an expression for the third-order nonlinear susceptibility using quantum theory and discussed the conversion efficiency for NDFWM. The theoretical result shows that the conversion efficiency has a maximum value while the third-order nonlinear susceptibility shows constructive interference at the Rabi frequency Ω 23 = ±√Γ 2 Γ 3 . On account of phase-mismatch, the frequency conversion efficiency has a maximum value over a certain small range of frequency separation (such as 0 < Δ f < 30 GHz at the wavelength λ c = 1.55 μm), and the frequency conversion range increases with increase of the third-order nonlinear susceptibility.