## Abstract

The effective coefficients in the quasi-steady Maxwell’s equations are calculated for a multiscale isotropic medium by using a subgrid modeling approach.The conductivity is mathematically represented by a Kolmogorov multiplicative cascade with a log-stable probability distribution. The skewness of the stable probability distribution (Formula presented.) is equal to one. The parameter (Formula presented.) is such that (Formula presented.), where the situation (Formula presented.) corresponds to the Gaussian distribution. Thus, the variance of the stable probability distribution is infinite, but the mean is finite. The scale of a solution domain is assumed to be large as compared with the scale of heterogeneities of the medium. The theoretical results obtained in the paper are compared with the results of a direct 3D numerical simulation.

Original language | English |
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Pages (from-to) | 850-866 |

Number of pages | 17 |

Journal | Journal of Electromagnetic Waves and Applications |

Volume | 31 |

Issue number | 8 |

DOIs | |

Publication status | Published - 24 May 2017 |

## Keywords

- effective coefficients
- Kolmogorov multiplicativecascades
- log-stable random conductivity
- Quasi-steady Maxwell’s equations
- subgrid modeling
- 3D
- Quasi-steady Maxwell's equations
- MEDIA
- TURBULENCE
- CASCADES
- HOMOGENIZATION