Abstract
Formalisms are presented which enable the accurate calculation of the polarizability of an isolated square prism, and of the transport properties of square arrays of both circular cylinders and square prisms, over the entire range of volume fractions. For volume fractions close to zero and to unity, the results are shown to agree with dipolar formulae based on the appropriate polarizability. For volume fractions close to touching, the transport property varies rapidly but smoothly through the multipolar region. The results are shown to be in good qualitative agreement with experimental curves.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. W. Cohen, G. D. Cody, M. D. Coutts, B. Abeles: Phys. Rev. B8, 3689 (1973)
K. S. Cole: Proc. Natl. Acad. Sci. USA72, 4936 (1975)
P. B. Corson: J. Appl. Phys.45, 3180 (1974)
S. W. Hogg, G. B. Smith: J. Phys. D.10, 1863 (1977)
D. R. McKenzie, R. C. McPhedran: A.I.P. Conference Proceedings No. 40, ed. by J. C. Garland and D. B. Tanner, p. 283 (1978)
W. T. Doyle: J. Appl. Phys.49, 795 (1978)
R. C. McPhedran, D. R. McKenzie: Proc. R. Soc. London A359, 45 (1978)
D. R. McKenzie, R. C. McPhedran, G. H. Derrick: Proc. R. Soc. London A362, 211 (1978)
W. T. Perrins, R. C. McPhedran, D. R. McKenzie: Thin Solid Films57, 321 (1979)
W. T. Perrins, D. R. McKenzie, R. C. McPhedran: Proc. R. Soc. London A369, 207 (1979)
W. Lamb, D.M. Wood, N.W. Ashcroft: A.I.P. Conference Proceedings No. 40, ed. by J. C. Garland and D. B. Tanner, p. 240 (1978)
B. Abeles, P. Sheng: A.I.P. Conference Proceedings No. 40, ed. by J. C. Garland and D. B. Tanner, p. 360 (1978)
W. K. H. Panofsky, M. Phillips:Classical Electricity and Magnetism. 2nd ed. (Addison-Wesley, Reading, MA 1962)
Z. Hashin, S. Shtrikman: J. Appl. Phys.33, 3125 (1962)
D. J. Bergman: Phys. Rev. Lett.44, 1285 (1980)
D. J. Bergman, P. Lacour-Gayet: Phys. Rev. B (1981)
G. W. Milton: Appl. Phys. Lett.37, 300 (1980)
G. W. Milton: J. Appl. Phys. (1981)
G. W. Milton: J. Appl. Phys. (1981)
J. Meixner: N. Y. Univ. Inst. Math. Sci. Res. Rep. No. EM-72 (1955)
J. B. Keller: J. Math. Phys.5, 548 (1964)
Lord Rayleigh: Philos. Mag.34, 481 (1892)
D. J. Bergman: Phys. Rep.43, 377 (1978)
A. M. Dykhne: Zh. Eksp. Teor. Fiz.59, 110 (1970)
C. A. Neugebauer: Thin Solid Films6, 443 (1970)