Predicting effective permittivity of composites containing conductive inclusions at microwave frequencies

作者: Allen L. Garner , Gregory J. Parker , Davide L. Simone

DOI: 10.1063/1.4738954

关键词:

摘要: We predict the effective dielectric properties at microwave frequencies of composites containing various volume loadings high conductivity (stainless steel or iron) spheres flakes by adapting semi-empirical method developed McLachlan. Rather than typical approach fixing A (A = 1/vc – 1, where vc is percolation threshold) for a given inclusion shape, we consider it as an unknown and fix one geometric exponents. observe that varies linearly with inverse loading higher slope spheres. The exponent consistently iron stainless steel. achieve good agreement between measured calculated permittivity over wide range loadings, shapes, materials from 3 to 20 GHz.

参考文章(23)
David S McLachlan, Analytical Functions for the dc and ac Conductivity of Conductor-Insulator Composites Journal of Electroceramics. ,vol. 5, pp. 93- 110 ,(2000) , 10.1023/A:1009954017351
C. Chiteme, D. S. McLachlan, ac and dc conductivity, magnetoresistance, and scaling in cellular percolation systems Physical Review B. ,vol. 67, pp. 024206- ,(2003) , 10.1103/PHYSREVB.67.024206
C. Chiteme, D. S. McLachlan, I. Balberg, 1/f or flicker noise in cellular percolation systems Physical Review B. ,vol. 67, pp. 024207- ,(2003) , 10.1103/PHYSREVB.67.024207
D S McLachlan, An equation for the conductivity of binary mixtures with anisotropic grain structures Journal of Physics C: Solid State Physics. ,vol. 20, pp. 865- 877 ,(1987) , 10.1088/0022-3719/20/7/004
David S. McLachlan, Michael Blaszkiewicz, Robert E. Newnham, Electrical Resistivity of Composites Journal of the American Ceramic Society. ,vol. 73, pp. 2187- 2203 ,(1990) , 10.1111/J.1151-2916.1990.TB07576.X
Junjie Wu, D. S. McLachlan, Scaling behavior of the complex conductivity of graphite-boron nitride percolation systems Physical Review B. ,vol. 58, pp. 14880- 14887 ,(1998) , 10.1103/PHYSREVB.58.14880
B. I. Halperin, Shechao Feng, P. N. Sen, Differences between Lattice and Continuum Percolation Transport Exponents Physical Review Letters. ,vol. 54, pp. 2391- 2394 ,(1985) , 10.1103/PHYSREVLETT.54.2391
Shechao Feng, B. I. Halperin, P. N. Sen, Transport properties of continuum systems near the percolation threshold Physical Review B. ,vol. 35, pp. 197- 214 ,(1987) , 10.1103/PHYSREVB.35.197
Ning Hu, Zen Masuda, Cheng Yan, Go Yamamoto, Hisao Fukunaga, Toshiyuki Hashida, The electrical properties of polymer nanocomposites with carbon nanotube fillers Nanotechnology. ,vol. 19, pp. 215701- ,(2008) , 10.1088/0957-4484/19/21/215701