Study on Sampling Method of Scattering Phase Function of Medium

Monte Carlo simulation is the most widely used method to analyze and study the optical transmission characteristics of seawater channel. The scattering phase function is usually used to represent the specific scattering characteristics of seawater according to the different densities of seawater medium particles, so it is particularly important to measure the scattering phase cosine $\cos\theta$ in the scattering phase function of the average particles in seawater. This chapter uses Monte Carlo simulation method to solve the scattering phase cosine $\cos\theta$, and explores a suitable and efficient sampling method to simulate light scattering. First, we sample the Rayleigh phase function by using the inverse transformation, the tabulation method and the weighted algorithm, and analyze the advantages and disadvantages of these three sampling methods. The three methods are applied to the Henyey-Greentein (HG) phase function. Moreover, in order to simulate the scattering characteristics in natural media, the Henyey-Greentein (HG) phase function is improved to obtain the Rayleigh Henyey-Greenstein (RHG) phase function, and then the corresponding sampling is carried out to improve the efficiency of the sampling method.