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 permeability are mathematically represented by the Kolmogorov multiplicative continuous cascade with a lognormal probability distribution. It is assumed that the wavelength is much greater than the maximum scale of the inhomogeneous medium. The theoretical results are compared with direct 3D numerical simulations.
Author(s):
Kurochkina Ekaterina PetrovnaPhD.
Position: Senior Research Scientist
Office: Institute of Thermophysics SB RAN
Address: 630090, Russia, Novosibirsk, pr. Lavrentieva, 1
Phone Office: (383)316 52 31
E-mail: kurochkina@itp.nsc.ru
Soboleva Olga NikolaevnaDr.
Position: Senior Research Scientist
Office: Institute of Computational Mathematics and Mathematical Geophysics, SB RAN
Address: 630090, Russia, Novosibirsk, pr. Lavrentieva, 1
Phone Office: (383)3306046
E-mail: olga@nmsf.sscc.ru
