A spectral element method (SEM) is developed to solve polarized radiativetransfer in multidimensional participating medium. The angular discretizationis based on the discrete-ordinates approach, and the spatial discretization isconducted by spectral element approach. Chebyshev polynomial is used to buildbasis function on each element. Four various test problems are taken asexamples to verify the performance of the SEM. The effectiveness of the SEM isdemonstrated. The h and the p convergence characteristics of the SEM arestudied. The convergence rate of p-refinement follows the exponential decaytrend and is superior to that of h-refinement. The accuracy and efficiency ofthe higher order approximation in the SEM is well demonstrated for the solutionof the VRTE. The predicted angular distribution of brightness temperature andStokes vector by the SEM agree very well with the benchmark solutions inreferences. Numerical results show that the SEM is accurate, flexible andeffective to solve multidimensional polarized radiative transfer problems.
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