研究目的
To numerically investigate polarized radiative transfer problems in two-dimensional complex media exposed to external irradiation using a discontinuous finite element method with unstructured meshes.
研究成果
The DFEM with unstructured meshes accurately handles polarized radiative transfer in complex media. It effectively captures polarization effects and irregular geometry impacts, showing that inner obstacles weaken and scattering inclusions enhance Stokes components. The method has potential applications in non-contact diagnostics like tumor detection.
研究不足
The study is limited to two-dimensional media and numerical simulations; it does not include experimental validation. The method may have computational intensity for highly complex geometries, and the angular discretization (PCA) might introduce approximations.
1：Experimental Design and Method Selection:
The study employs a discontinuous finite element method (DFEM) with unstructured triangular meshes for spatial discretization to handle irregular geometries. The DFEM is chosen to eliminate errors from forced continuity in conventional FEM. The method involves deriving DFEM discretization for the vector radiative transfer equation (VRTE), validating it, and applying it to various irregular media.
2：Sample Selection and Data Sources:
The computational domains include a square medium, a trapezoidal enclosure, a semicircle medium, and variations with inner obstacles or scattering inclusions. Medium properties such as extinction coefficient, scattering albedo, and boundary conditions are specified.
3：List of Experimental Equipment and Materials:
No specific physical equipment is mentioned; the work is computational, involving numerical simulations and code development.
4：Experimental Procedures and Operational Workflow:
The procedure involves discretizing the domain with unstructured meshes, applying DFEM to solve VRTE, validating against Monte Carlo and finite volume methods, and analyzing Stokes vector distributions and radiative flux for different media configurations.
5：Data Analysis Methods:
Solutions are compared with benchmark methods (Monte Carlo and finite volume methods) for accuracy. Angular and spatial distributions of Stokes components are analyzed using plots and quantitative comparisons.
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