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Analytical solutions of the radiative transport equation for turbid and fluorescent layered media

机译:浑浊和荧光层状介质辐射输运方程的解析解

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摘要

Accurate and efficient solutions of the three dimensional radiative transport equation were derived in all domains for the case of layered scattering media. Index mismatched boundary conditions based on Fresnel’s equations were implemented. Arbitrary rotationally symmetric phase functions can be applied to characterize the scattering in the turbid media. Solutions were derived for an obliquely incident beam having arbitrary spatial profiles. The derived solutions were successfully validated with Monte Carlo simulations and partly compared with analytical solutions of the diffusion equation.
机译:对于分层散射介质的情况,在所有域中都得出了三维辐射传输方程的准确而有效的解。实施了基于菲涅尔方程的索引不匹配边界条件。可以使用任意旋转对称相位函数来表征浑浊介质中的散射。导出具有任意空间轮廓的斜入射光束的解。导出的解已通过蒙特卡洛模拟成功验证,部分与扩散方程的解析解进行了比较。

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