A theory to treat the propagation of an intense pump pulse and a weak probe pulse in nonlinear media is presented. We give a general formalism applicable to the pump–probe propagation in a variety of nonlinear optical media. Based on this formalism, we obtain first an analytic, closed-form solution of pump–probe propagation in a third-order nonlinear medium, including linear absorption, nonlinear refraction, and two-photon absorption. The effects of velocity mismatch are also considered in our results. The general formalism leads further to analytic results for pump–probe propagation in a medium with both third- and fifth-order nonlinearity.
© 2004 Optical Society of America
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.7130) Ultrafast optics : Ultrafast processes in condensed matter, including semiconductors
(320.7150) Ultrafast optics : Ultrafast spectroscopy
Jing Cheng, Jianying Zhou, and YiJing Yan, "Theory of pump–probe propagation in third-and higher-order, nonlinear optical media," J. Opt. Soc. Am. B 21, 364-369 (2004)