The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Effective dielectric constant of periodic composite materials
Open accessAbstract
We present computer simulation data for the effective permittivity (in the quasistatic limit) of a system composed of discrete inhomogeneities of permittivity ε1, embedded in a three-dimensional homogeneous matrix of permittivity ε2. The primary purpose of this paper is to study the related issue of the effect of the geometric shape of the components on the dielectric properties of the medium. The secondary purpose is to analyse how the spatial arrangement in these two-phase materials affects the effective permittivity. The structures considered are periodic lattices of inhomogeneities. The numerical method proceeds by an algorithm based upon the resolution of boundary integral equations. Finally, we compare the prediction of our numerical simulation with the effective medium approach and with results of previous analytical works and numerical experiments.
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Cites
Electrodynamics of Continuous Media
Landau, L. D., Lifshitz, E. M., & King, A. L. (1961) · American Journal of Physics · doi:10.1119/1.1937882 · Cited by 10,997
Bruggeman, D. A. G. (1935) · Annalen der Physik · doi:10.1002/andp.19354160705 · Cited by 8,645
A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
Hashin, Z., & Shtrikman, S. (1962) · Journal of Applied Physics · doi:10.1063/1.1728579 · Cited by 3,267
Clerc, J. P., Giraud, G., Laugier, J. M., & Luck, J. M. (1990) · Advances in Physics · doi:10.1080/00018739000101501 · Cited by 692
The effective permeability of mixtures of solids
Polder, D., & van Santeen, J. H. (1946) · Physica · doi:10.1016/s0031-8914(46)80066-1 · Cited by 567
Effective permittivity of dielectric mixtures
Sihvola, A. H., & Kong, J. A. (1988) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/36.3045 · Cited by 555
Bergman, D. J., & Imry, Y. (1977) · Physical Review Letters · doi:10.1103/physrevlett.39.1222 · Cited by 447
Generalized approach to multiphase dielectric mixture theory
Tinga, W. R., Voss, W. A. G., & Blossey, D. F. (1973) · Journal of Applied Physics · doi:10.1063/1.1662868 · Cited by 386
Bounds on the complex dielectric constant of a composite material
Milton, G. W. (1980) · Applied Physics Letters · doi:10.1063/1.91895 · Cited by 288
Self-consistency aspects of dielectric mixing theories
Shivola, A. H. (1989) · IEEE Transactions on Geoscience and Remote Sensing · doi:10.1109/36.29560 · Cited by 237
Cited by
Qin, F., & Brosseau, C. (2012) · Journal of Applied Physics · doi:10.1063/1.3688435 · Cited by 1,202
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Metadata
- Authors
- Sareni, B., Krähenbühl, L., Beroual, A., & Brosseau, C.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1996-08-01
- Volume
- 80
- Issue
- 3
- Pages
- 1688-1696
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W1986892793
- Cited by
- 253
- References
- 12
- FWCI
- 9.28
- Type
- journal article
- Language
- en
- Open access
- hybrid
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