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Solution of transport equations in layered media with refractive index mismatch using the P_(N)-method

机译:使用P_(N)方法求解折射率不匹配的层状介质中的传输方程

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摘要

The P_(N)-method is a spectral discretization technique used to obtain numerical solutions to the radiative transport equation. To the best of our knowledge, the P_(N)-method has yet to be generalized to the case of refractive index mismatch in layered slabs used to numerically simulate skin. Our main contribution is the application of a collocation method that takes into account refractive index mismatch at layer interfaces. The stability, convergence, and accuracy of the method are established. Example calculations demonstrating the flexibility of the method are performed.
机译:P_(N)方法是一种光谱离散技术,用于获得辐射输运方程的数值解。据我们所知,P_(N)方法尚未推广到用于数值模拟皮肤的分层平板中折射率不匹配的情况。我们的主要贡献是应用并置方法,该方法考虑了层界面处的折射率不匹配。建立了该方法的稳定性,收敛性和准确性。进行示例计算,以证明该方法的灵活性。

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