Refined structure of energy spectrum and energy cascade in atmospheric turbulence

Using wavelet and Fourier transform we make an analysis of velocity fluctuation data of atmospheric turbulence in the near surface layer. We find that there are some abrupt points in the well-known energy sepctrum of "-5/3" scaling law in the wave-number domain. If the timescale of wavelet transform varies with 2(i) j = 1 2, j(0), the eddy of high-frequency components will cascade in a manner of 2((j-2)) - 1(j > 1) which is in accordance with the physical picture of synchro-cascade pattern. There are no characteristic spectrum components, because the effects of the high frequency componets on the properties of spectrum are the-same in the region in which the scaling law is hold. We get the same result using different basic functions to data of atmosphere turbulence at different heights. The comparing experiments are also made between a number of random series about the fractal Brown motion with Husrt exponent H = 1/3. The results show that the deviation of real full developed atmopheric turbulence from Guassian distibution is very small, and the difference only occurs in the case of the high order scaling law.