title: A modified rate equation for the propagation of a femtosecond laser pulse in field-ionizing medium.
abstract: A recombination rate of electron-ion in the strong-field atomic process is phenomenologically introduced into the ionization rate equation, and therefrom an ionization and recombination rates equation (IRRE) is obtained. By using the extended IRRE, the propagation equation of an intense femtosecond laser pulse in the gaseous medium is re-derived. Some new physical behaviors and characteristics caused by the introduced recombination rate are discussed in detail.
authors.affiliation: Institute of Laser Engineering, Beijing University of Technology, Beijing 100124, China.
authors.forename: Cheng-Xin
authors.initials: CX
authors.lastname: Yu
authors.forename: Shi-Bing
authors.initials: SB
authors.lastname: Liu
authors.forename: Xiao-Fang
authors.initials: XF
authors.lastname: Shu
authors.forename: Hai-Ying
authors.initials: HY
authors.lastname: Song
authors.forename: Zhi
authors.initials: Z
authors.lastname: Yang