Analysis of harmonic generation by a hydrogen-like atom using a quasi-classical non-linear oscillator model with realistic electron potential

A theoretical model of the nonlinear electron oscillations in an atom exposed to electro-magnetic wave is described. This model considers electron motion as a nonharmonic periodic function, unlike the current approach based on a perturbation solution of the linear harmonic oscillator. Our work demonstrates the use of realistic electron potential and correct radiation damping in the modeling of optical electron response. One of the main benefits of our approach is that it provides a way of computing the efficiencies of the up- and down-conversion of laser frequency.