According to one-dimensional soft-core potential model, high-order harmonic spectra of one-dimensional hydrogen atom and helium ion have been computed in this dissertation by Crank-Nicholson centered difference algorithm under various conditions of pulse duration and field intensity of laser radiation. Besides, two-color fields which is made up of base frequency light and low intensity and high frequency light are used in computing one-dimensional atom in high intensity field in order to enhance conversion efficiency. Effect of various two-color low intensity high frequency laser fields on high order harmonic has been discussed. It is found that efficiency of high order harmonic is greatly enhanced. Especially, when photon energy of incident high -frequency laser is approached to energy difference between ground state and exited state, convertion efficiency is further enhanced , mechanism of which is discussed. Eigenvalues and Eigenfunctions of one-dimensional hydrogen atom in time-independent state have also be computed by symplectic scheme shooting method.
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