Effective permittivity of mixtures: numerical validation by the FDTD method

Author

Kärkkäinen, Kimmo Kalervo ; Sihvola, Ari Henrik ; Nikoskinen, Keijo I.

Author_Institution

Helsinki Univ. of Technol., Espoo, Finland

Volume

38

Issue

3

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

1303

Lastpage

1308

Abstract

The present paper reports the results of an extensive numerical analysis of electromagnetic fields in random dielectric materials. The effective permittivity of a two-dimensional (2-D) dielectric mixture is calculated by FDTD simulations of such a sample in a TEM waveguide. Various theoretical bounds are tested in light of the numerical simulations. The results show how the effective permittivity of a mixture with random inclusion positionings is distributed. All possible permittivity values lie between Wiener limits, and according to FDTD simulations the values are almost always between Hashin-Shtrikman limits. Calculated permittivity distribution is also compared with theoretical mixture models. No model seems to be able to predict the simulated behavior over the whole range of volume fraction

Keywords

dielectric materials; electromagnetic fields; finite difference time-domain analysis; mixtures; permittivity; random media; FDTD method; Hashin-Shtrikman limits; effective permittivity; electromagnetic fields; mixtures; numerical analysis; random dielectric material; random inclusion positionings; two-dimensional dielectric mixture; volume fraction; Dielectric materials; Electromagnetic fields; Electromagnetic waveguides; Finite difference methods; Numerical analysis; Permittivity; Predictive models; Testing; Time domain analysis; Two dimensional displays;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/36.843023

Filename

843023