The subgrid modeling for Maxwell's equations with multiscale isotropic random conductivity and permittivity

The effective coefficients in the Maxwell's equations are calculated for a multiscale isotropic medium using a subgrid modeling approach. The correlated fields of conductivity and permittivity are mathematically represented by a Kolmogorov multiplicative continuous cascades with a lognormal probability distribution. The wavelength is assumed to be large as compared with the scale of heterogeneities of the medium.