Study On Interactions Between Intense Laser Fields And Atom With Numerical Method

We solve time-dependent Schrodinger equation of one-dimensional atom in intense laser field with pseudospectral method by introducing nonlinear space transformation. We calculate high order harmonic generation and ionization probability of one-dimensional atom in intense laser field . Our results are in good agreement with those of split-operator method.We construct eigenfunctions from the linear combination of the B-spline functions and the truncated Fourier series, and extend pseudospectral method to calculate above-threshold ionization electron spectrum of one-dimensional atom in intense laser fields. Our results are also in very good agreement with those of split-operator method.Finally, by using split-operator method to solve time-dependent Schrodinger equation of two-dimensional atom in intense laser field, we calculate high order harmonic generation and ionization probability of two-dimensional atom in intense laser field and compare our results with those of one-dimensional atom with same binding energy. It i& found that the cutoff position of high order harmonic generation obtained by using these two models are same, but there are great differences in ionization probability.