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We study, with numerical simulations using the generalized nonlinear envelope equation, the processes of optical\udparametric and difference- and sum-frequency generation (SFG) with incoherent pumps in optical media with\udboth quadratic and third-order nonlinearity, such as periodically poled lithium niobate. With ultrabroadband amplified\udspontaneous emission pumps or continua (spectral widths >10 THz), group-velocity matching of a near-IR\udpump and a short-wavelength mid-IR (MIR) idler in optical parametric generation may lead to more than 15-fold\udrelative spectral narrowing of the generated MIR signal. Moreover, the SFG process may also lead to 6-fold signal\udcoherence improvements. When using relatively narrowband filtered noise pumps (e.g., spectral widths < 1 THz),\udthe signal from optical parametric, sum-frequency, and difference-frequency generation has nearly the same spectral\udwidth as that of the incoherent pump

journal of the optical society of america b

Control of signal coherence in parametric frequency mixing with incoherent pumps: narrowband mid-infrared light generation by downconversion of broadband amplified spontaneous emission source at 1550 nm