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

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