A scaling law of high-order harmonic generation

Using a nonperturbative quantum electrodynamics theory of high-order harmonic generation (HHG), a scaling law of HHG is established. The scaling law states that when the atomic binding energy E_b, the wavelength \lambda and the intensity I of the laser field change simultaneously to kE_b, \lambda/k, and k³I, respectively. The characteristics of the HHG spectrum remain unchanged, while the harmonic yield is enhanced k³ times. That HHG obeys the same scaling law with above-threshold ionization is a solid proof of the fact that the two physical processes have similar physical mechanisms. The variation of integrated harmonic yields is also discussed.