Nonlinear Gaussian expansions of stochastic processes: Non‐Gaussian effects in coherent anti‐stokes Raman spectroscopy

We propose a new approach to the analysis of stochastic processes (such as fluctuating laser fields) with non‐Gaussian statistics: the expansion of stochastic processes in terms of first and higher power of Gaussian components, which are used like a basis set. This approach is applied to treat the non‐Gaussian correlation effects observed in coherent anti‐Stokes Raman scattering experiments using frequency‐doubled pump‐laser fields. Our results give much better agreement with experimental data than previous theories.