  We propose a dual-pump third-order nonlinear scheme for producing pairs of
correlated photons that is less susceptible to Raman noise than typical
spontaneous four wave mixing methods (SFWM). Beginning with the full multimode
Hamiltonian we derive a general expression for the joint spectral amplitude,
from which the probability of producing a pair of photons can be calculated. As
an example, we demonstrate that a probability of 0.028 pairs per pulse can be
achieved in an appropriately designed fused silica microfiber. As compared with
single pump SFWM in standard fiber, we calculate that our process shows
significant suppression of the spontaneous Raman scattering and an improvement
in the signal to noise ratio.
