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Effective Permittivity and Scattering of Bicontinuous Random Medium with Strong Permittivity Fluctuation Theory

机译:具有强介电常数涨落理论的双连续随机介质的有效介电常数和散射

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We apply the analytical fully coherent model to bicontinuous media for applications in microwave remote sensing of snow cover. In our model, snow is represented by bicontinuous media which is generated by a Gaussian random process. The statistical moments and correlation functions of bicontinuous media can be calculated. With the correlation functions, we apply the strong permittivity fluctuation (SPF) theory to derive the analytical solutions for calculation of scattering properties and effective permittivity of bicontinuous meida. The SPF theory is under the bilocal approximation. Effective permittivity and extinction coefficient from the analytical solutions are compared with those of the numerical solution of Maxwell's equation in 3D (NMM3D). The real part of effective permittivity of SPF is also compared with solutions of Maxwell-Garnett formula.
机译:我们将解析的完全相干模型应用于双连续介质,以用于积雪的微波遥感中。在我们的模型中,雪是由高斯随机过程产生的双连续介质表示的。可以计算双连续介质的统计矩和相关函数。利用相关函数,我们应用强介电常数涨落(SPF)理论来推导解析解,以计算双连续meida的散射特性和有效介电常数。 SPF理论是在双局部近似下。将解析解中的有效介电常数和消光系数与3D(NMM3D)中的麦克斯韦方程组的数值解进行了比较。 SPF的有效介电常数的真实部分也与Maxwell-Garnett公式的解进行了比较。

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