Abstract
A straightforward model is presented for analysing the effective permittivities of layered dielectric sphere composites. Using the present model, the effective permittivity, ɛeff, of layered dielectric sphere composites can be deduced using classical two-phase dielectric mixture formulae in two steps: first, the effective permittivity, ɛincl, of the inclusions is calculated by taking the layered dielectric sphere inclusions as sub-composites; and second, the effective permittivity, ɛeff, of the composites is found by substituting the layered dielectric sphere inclusions with homogeneous spheres whose permittivity is equal to ɛincl. The present model is applicable to multi-layer sphere composites. Experiments on resin-based hollow bead composites show that the present model accurately predicts the effective permittivity of layered dielectric sphere composites.
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References
P. S. Neelakanata, “Handbook of electromagnetic materials” (CRC Press, 1995) Ch. 5, Table 5.1.
W. R. Tinga, in “Dielectric properties of heterogeneous materials,” edited byA. PRIOU (Elsevier Science, 1992) pp. 1–40.
S. O. Nelson and T. S. You, J. Phys. D Appl. Phys. 23 (1990) 346.
Lord Rayleigh, Philos. Mag. 32 (1982) 481.
H. Looyenga, Physica 31 (1965) 401.
B. Tareev, “Physics of dielectric materials” (Mir, Moscow, 1973) Ch. 2, Equation 2.87.
A. H. Sihvola, IEEE Trans. Geosci. Remote Sensing, 27 (1989) 403.
A. H. Sihvola and I. V. Lindell, J. Electromag. Waves Applic. 3 (1) (1989) 37.
A. Sihvola, IEE Proc. H 136 (1) (1989) 24.
I. L. Lindel, M. E. Ermutlu and A. H. Sihvola, IEEE Proc. H. 139 (2) (1992) 186.
J. G. Liu and D. L. Wilcox Sr, J. Appl. Phys. 77 (1995) 6456.
X. Z. Ding, T. Lu, C. K. Ong, and B. T. G. Tan, Meas. Sci. Technol. 6 (1995) 281.
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Chen, L.F., Ong, C.K., Tan, B.T.G. et al. Effective permittivity of layered dielectric sphere composites. Journal of Materials Science 33, 5891–5894 (1998). https://doi.org/10.1023/A:1004487006512
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DOI: https://doi.org/10.1023/A:1004487006512