We propose a new approach to the analysis of stochastic processes (such as fluctuating laser fields) with super-Gaussian statistics: the expansion of stochastic processes in terms of first and higher powers of Gaussian components, which are used like a basis set. This approach is applied to treat the super-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 do.
© 1989 Optical Society of America
Original Manuscript: September 30, 1988
Manuscript Accepted: January 17, 1989
Published: April 1, 1989
Albert M. F. Lau and Roger L. Farrow, "Nonlinear Gaussian expansions of stochastic processes: super-Gaussian effects in coherent anti-Stokes Raman spectroscopy," Opt. Lett. 14, 367-369 (1989)