中文摘要：

自20世纪60年代激光发明以来,激光与物质的相互作用就一直成为物理学领域的一个重要研究方向.通过最近几十年激光技术的发展,大大拓展了激光的频率、强度及脉宽范围,使得复杂体系在激光场中的激发、辐射及电离过程得到更精细而深入的研究.本文总结了处理单色和双色激光场中双电子原子非序列电离的频域理论;归纳了碰撞-电离和碰撞-激发-电离两种机理下原子非序列电离在单色和双色激光场中的动量谱分布,并对动量谱上的干涉条纹利用量子通道相干的理论进行了分析;归纳了前向碰撞和背向碰撞在不同激光场条件下对非序列电离的不同贡献,以及高频激光场在非序列电离中所起的作用.

英文摘要：

The research of laser-matter interaction has become a major direction in the field of laser physics since the invention of laser in 1960.Based on the development of the laser technique in the recent several decades,the ranges of the laser＇s frequency,intensity and pulse width have been explored widely.Therefore,the excitation,emission and ionization dynamic processes of a complex system in intense laser fields have been studied deeply.Especially,the nonsequential double ionization（NSDI） process has continuously attracted much attention from both experimental and theoretical sides.So far,the recollision picture is widely accepted as a dominating mechanism accounting for the NSDI process under an infrared（IR） laser field condition.This recollision picture can be classified into two mechanisms：the collisionionization（CI） mechanism and the collision-excitation-ionization（CEI） mechanism.Recently,it is found that the NSDI process can take place in an extreme ultraviolet（XUV） laser field,and thus few-photon double ionization has been extensive studied by solving the full-dimensional time-dependent Schr？dinger equation（TDSE） and the conventional nonstationary perturbation theory.This article reviews the frequency-domain theory of the NSDI processes of an atom in a monochromatic IR and IR＋XUV two-color laser fields.In contrast with other approaches,such as the TDSE calculation and S-matrix method,the frequency-domain theory based on the nonperturbative quantum electrodynamics is involved in some advantages：（i） all the recollision processes,including high-order above-threshold ionization（HATI）,high-order harmonic generation（HHG） and NSDI,can be dealt under the unified theoretical frame and can be decoupled into two processes—a direct above-threshold ionization（ATI） followed by a laser-assisted collision（LAC） or by a laserassisted recombination process,where these subprocesses can be investigated separately;（ii） the approach can save a lot of computation time becau