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

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.