非谐射频阱中离子云系统的精确周期解

射频阱中离子云与检测场的相互作用由周期驱动的Duffing方程描述.本文报道了该方程的一个精确的周期解,它描述了阱参数和外场对离子云周期运动的影响.结果表明,在各参变量满足周期解条件时,离子的运动频率为外场频率的三分之一,运动振幅分别与外场频率、振幅以及阱频正相关,与离子阱的非谐参数反相关.

Periodical motion of an ion-cloud in an anharmonic Paul trap

Interaction between an external detecting field and an ion-cloud in an actual Paul trap is described by the Duffing equation.In this paper,we reported an exactly periodical solution,which reveals the dependence of the trap parameters and external field on the ion-cloud's periodical motion.The result shows that under the periodicity condition the frequency of ion's motion is one third of the frequency of detecting field,the motion amplitude is positively correlated to the frequency and amplitude of the detecting field and the trap frequency respectively,and is negatively correlated with the anharmonic parameters of the Paul trap.