It has used the two-frequency mutual coherent function to study pulse scattering from one dimensional perfectly conducting rough surface. So this paper is mainly focused on that the analytical expressions for incoherent mutual function（MCF) for pulse scattering from one-dimensional random rough surface are obtained based on the Kirchhoff’s approximation. According to the analytical solutions, numerical methods are shown that coherent and incoherent mutual function（MCF）change with the coherence bandwidth frequency difference and scattering angles in different incident angles incidence on laser（1.06μm）according to the mean of fluctuating heights and correlation length of the rough surfaces. And some important scattering characteristics of the coherent and incoherent mutual function（MCF）are be obtained in details. Our works is helpful when investigating the statistical characteristics of laser scattering fields of objects with rough surface.
Using the extended Huygens-Fresnel principle and the altitude-dependent model of the ITU-R atmospheric
turbulence structure constant model, we derive an expression for the intensity correlation function of a partially coherent
beam wave through the slant turbulent medium. The result shows that as compared to Gaussian beam, intensity
correlation of partially coherent beam wave is found smaller; with the inner-scale decreases, wavelength increases and
turbulent strength increases, the intensity correlation tends to decrease.