通过数值求解一维短程势含时薛定谔方程,研究了初始粒子数布居对谐波辐射的影响.结果表明,当中等强度的激光(10~(14)W/cm~2)作用于具有较高电离能的原子或离子时.如果初始粒子数全部位于基态,这时的原子或离子不发生电离,只能得到低次谐波.如果部分粒子位于基态而部分粒子位于激发态.这时高次谐波增强,低次谐波受到抑制,原子发生部分电离,当初始粒子数全部位于激发态时,谐波转换效率降低,谐波次数减少,原子全部电离,这说明部分电离有利于谐波辐射,在一定程度上证明了半经典两步模型的假设. The effect of the population of initial population on the harmonic radiation was studied by numerical solution of the one-dimensional short-range potential-time Schrödinger equation. The results show that when moderate intensity laser (10 ~ (14) W / cm ~ 2) High ionization energy of atoms or ions. If the initial number of particles in the ground state, then the atoms or ions do not ionize, can only get the lower harmonics. If some of the particles in the ground state and some of the particles in the excited state. Harmonic enhancement, subharmonic suppression, atomic partial ionization, when all the initial particles in the excited state, the harmonic conversion efficiency decreases, the harmonic frequency decreases, the total ionization of atoms, indicating that part of the ionization is conducive to harmonics Radiation, to a certain extent, proved the hypothesis of the semi-classical two-step model.