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We develop a theoretical analysis of four-wave mixing used to generate photonpairs useful for quantum information processing. The analysis applies to asingle mode microstructured fibre pumped by an ultra-short coherent pulse inthe normal dispersion region. Given the values of the optical propagationconstant inside the fibre, we can estimate the created number of photon pairsper pulse, their central wavelength and their respective bandwidth. We use theexperimental results from a picosecond source of correlated photon pairs usinga micro-structured fibre to validate the model. The fibre is pumped in thenormal dispersion regime at 708nm and phase matching is satisfied for widelyspaced parametric wavelengths of 586nm and 894nm. We measure the number ofphotons per pulse using a loss-independent coincidence scheme and compare theresults with the theoretical expectation. We show a good agreement between thetheoretical expectations and the experimental results for various fibre lengthsand pump powers.Comment: 23 pages, 9 figure

Photon pair generation using four-wave mixing in a microstructured fibre: theory versus experiment