A dielectric mixing law for porous ceramics based on fractal boundaries

Journal of Applied Physics

Volumn 80, Issue 7, 1996, Pages 3992-4000

  Calame, J P ^a   Birman, A ^a   Carmel, Y ^a   Gershon, D ^a   Levush, B ^a   Sorokin, A A ^b   Semenov, V E ^b   Dadon, D ^c   Martin, L P ^c   Rosen, M ^c  

^a UNIVERSITY OF MARYLAND   (United States)

^b INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

^c Johns Hopkins University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3342962577     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.363357     Document Type: Article

References (26)

1. Y. Ikuma and K. Takahashi, J. Ceram. Soc. Jpn. 100, 1306 (1992).
2. L. P. Martin, D. Dadon, D. Gershon, A. Birman, B. Levush, Y. Carmel, and M. Rosen, J. Am. Ceram. Soc. (to be published).
3. J. Baker-Jarvis, M. D. Janezic, P. D. Domich, and R. G. Geyer, IEEE Trans Instrum. Meas. 43, 711 (1994).
4. R. Hutcheon (private communication).
5. J. C. Maxwell-Garnet, Philos. Trans. R. Soc. 203, 385 (1904).
6. J. C. Maxwell-Garnet, Philos. Trans. R. Soc. 205, 237 (1906).
7. D. J. Bergman and D. Stroud, in Advances in Research and Applications: Solid State Physics, edited by H. Enrenreich and D. Turnbull (Academic, New York, 1992), Vol. 46, pp. 147-269.
8. D. A. G. Bruggeman, Ann. Phys. 24, 636 (1935).
9. W. T. Doyle and I. S. Jacobs, Phys. Rev. B 42, 9319 (1990).
10. P. C. Cherry and M. F. Iskander, IEEE Trans. Microwave Theory Tech. 40, 1692 (1992).
11. R. L. Smith, M. F. Iskander, O. J. Andrade, and H. Kimrey, in Microwave Processing of Materials III, edited by R. L. Beatty, W. H. Sutton, and M. F. Iskander [Mater. Res. Soc. Symp. Proc. 269, 1992].
12. O. C. Zienkiewicz, The Finite Element Method in Engineering Science (McGraw-Hill, London, 1971).
13. R. T. Coverdale, E. J. Garboczi, and H. M. Jennings, Comput. Mater. Sci. 3, 465 (1995).
14. R. T. Coverdale, B. J. Christensen, T. O. Mason, H. M. Jennings, and E. J. Garboczi, J. Mater. Sci. 29, 4984 (1994).
15. J. Wong, P. Rao, and E. F. Koch, J. Appl. Phys. 46, 1827 (1975).
16. L. Hozer, Semiconductor Ceramics-Grain Boundary Effects (Polish Scientific Publishers PWN Ltd., Warszawa, Poland, 1994), pp. 44-108.
17. R. Wernicke, in Advances in Ceramics: Grain Boundary Phenomena in Electronic Ceramics, edited by L. M. Levinson and D. C. Hill (American Ceramic Society, Columbus, OH, 1981), Vol. 1, p. 272.
18. B. Mandelbrot, Fractals: Form, Chance, and Dimension (Freeman, San Francisco, 1977), pp. 28, 293-300.
19. S. J. Taylor, Proc. Cambridge Philos. Soc. 57, 524 (1961).
20. S. J. Taylor, Proc. Cambridge Philos. Soc. 60, 253 (1964).
21. S. J. Taylor, J. Math. Mech. 16, 1229 (1967).
22. M. Sahimi, Applications of Percolation Theory (Taylor & Francis, London, 1994), p. 16.
23. A. L. Barabasi and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, New York, 1995).
24. Ref. 22, pp. 94-97.
25. J. R. Phillip, Trans. Porous Media 1, 319 (1986).
26. P. N. Sen, C. Scala, and M. H. Cohen, Geophysics 46, 781 (1981).