研究目的
Develop an algorithm of numerical statistical modelling for the estimation and study of considered bidirectional characteristics of a partly polarized radiation passed through and reflected from the layers of a scattering and absorbing medium, and polarization degree estimation as well.
研究成果
The constructed Monte Carlo algorithm allows for the study of spatial-angular characteristics of polarized radiation, including both passed and reflected radiation. The method can calculate all components of the Stokes vector, enabling comprehensive study of polarization characteristics. Numerical results demonstrate the method's effectiveness in estimating angular distributions for intensity and polarization degree under various conditions.
研究不足
The paper discusses the convergence of the proposed method and the need for a greater number of terms in the series for accurate estimation of polarization characteristics. However, specific technical limitations or areas for optimization are not explicitly mentioned.
1：Experimental Design and Method Selection:
The study employs a Monte Carlo algorithm for numerical statistical modelling to estimate two-dimensional angular distributions of polarized radiation. The method is based on projection expansion over hemispherical harmonics.
2：Sample Selection and Data Sources:
The research focuses on polarized radiation transfer through optically thick layers of scattering and absorbing substance. The radiation source is defined with specific initial conditions.
3：List of Experimental Equipment and Materials:
The study utilizes computational resources for numerical simulations, specifically mentioning the use of resources from CCU Siberian Supercomputer Center of ICM&MG SB RAS.
4：Experimental Procedures and Operational Workflow:
The algorithm involves simulating the Markov chain of particle collisions within the medium, calculating the Stokes vector components, and estimating the angular distribution and polarization degree of the radiation.
5：Data Analysis Methods:
The analysis includes the calculation of the mean square error of the estimator, variance, and convergence of the method. The results are visualized through angular distribution densities and polarization degrees for different scenarios.
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