Scaling laws about DF high energy laser propagation in real atmosphere

The scaling laws about DF high energy laser propagation in real atmosphere are numerically analyzed by the four-dimension code of high energy laser in atmosphere combined with the square root of the sum of squares hypothesis. The scaling relations of the 63.2% encircled energy beam radius spreading and the average energy intensity in different encircled energy radius are obtained in the focal plane. The scaling relations are applicable for DF high energy laser propagation in the condition of different Fresnel numbers and different propagation effects. Based on the relations, the atmospheric propagation effects of high energy laser can be predicted and estimated effectively.