Closed-form solutions to time model for hybrid fs/ps coherent anti-Stokes Raman scattering

Hybrid fs/ps coherent anti-Stokes Raman scattering is a recent nonlinear optical technique where interaction of a Raman medium with simultaneous femtosecond (fs) pump and Stokes pulses is interrogated by means of a delayed picosecond (ps) probe. The resulting anti-Stokes signal is usually studied by means of numerical methods built on the conventional time-dependent model of Raman coherence. Here, we suggest that, in place of numerical tools, the time model is in complete analogy with an earlier frequency-dependent analyticalmodel and can be equally treated to a great extent despite the complications arising from probe pulses of non-trivial time shapes. To verify the reliability of this approach, closed-form solutions to the time model are compared to published experimental results. In addition to fast signal reconstruction, adequate spectral accuracy is demonstrated. Copyright (C) 2017 John Wiley & Sons, Ltd.