| This paper focuses on the scattering properties of small nonspherical particles and the randomly clustered aggregate particles that are composed of some spherical particles and the properties of the light transformation in the discrete random medium. At first, the discrete-dipole approximation (DDA) that is a flexible and powerful technique for computing scattering and absorption by targets of arbitrary geometry is presented. Using the DDA, we solve the scattering properties of some kinds of nonspherical particles and the aggregate particles that are composed of many small spherical particles. The results of the DDA are in good agreement with the ones of T matrix. Based on the radiative transport theory, we discuss some methods to solve the radiative transport equation and solve the radiative transport equation of light passing into a plane-parallel discrete random medium by the method of first-order multiple scattering approximation; the light propagation in soot aggregates is simulated by Monte Carlo method. Otherwise, Using the equivalent method, we acquire the convert formula of radiation propagating in different direction and the optical convert formula of equal energy density when radiation propagating in different direction. The problem of slope-way transmission is transformed into the problem of horizontal transmission, which becomes the problem simple. Based on the above, we simply discuss the characteristic of slope-way transmission of 1.06μm laser propagation in fog by Monte Carlo method.
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