Rapidly convergent expansion method for calculating the effective conductivity of three-dimensional lattices of symmetric inclusions

Journal of Applied Physics

Volumn 86, Issue 7, 1999, Pages 3773-3779

  Simovski, Constantin ^a   He, Sailing ^b  

^a ITMO UNIVERSITY   (Russian Federation)

^b ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000110993     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.371286     Document Type: Article

References (20)

1. W. T. Perrins, D. R. McKenzie, and R. C. McPhedran, Proc. R. Soc. London, Ser. A 369, 207 (1979).
2. L. Greengard and M. Moura, Acta Numerica (Cambridge Univ. Press, Cambridge, 1994), pp. 379-410.
3. J. Helsing, Proc. R. Soc. London, Ser. A 450, 343 (1995).
4. Vortex Methods, Lecture Notes in Mathematics, edited by C. Anderson and L. Greengard (Springer, Berlin, 1988), p. 1360.
5. L. Greengard, The Rapid Evaluation of Potential Fields in Particle Systems (MIT, Cambridge, 1988).
6. M. M. Z. Kharadly and W. Jackson, Proc. Inst. Electr. Eng. 100, 199 (1952).
7. B. R. A. Nijboer and F. de Wette, Physica (Amsterdam) 23, 309 (1957).
8. C. L. Berman and L. Greengard, J. Math. Phys. 35, 6036 (1994).
9. G. K. Bachelor and R. W. O'Brien, Proc. R. Soc. London, Ser. A 355, 313 (1977).
10. R. C. McPedran and D. R. McKenzie, Proc. R. Soc. London, Ser. A 359, 45 (1978).
11. Lord Rayleight, Philos. Mag. 34, 481 (1892).
12. A. Bensoussan, J-L. Lions, and G. Papanicolaou, Asymptotic Analysis of Periodic Structures (North-Holland, Amsterdam, 1978).
13. V. V. Jikov, S. M. Kozlov, and O. A. Oleinik, Homogenization of Differential Operators and Integral Functional (Springer, Berlin, 1994).
14. E. Sanchez-Palencia, Non-homogeneous Media and Vibration Theory (Springer-Verlag, New York, 1980).
15. L. Berlyand, Int. J. Mod. Phys. B 12, 3063 (1998).
16. J. B. Keller, J. Math. Phys. 5, 548 (1964).
17. P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part II (McGraw-Hill, New York, 1853).
18. S. Ström, Phys. Rev. D 10, 2685 (1974).
19. Z. Hashin and S. Shtrikman, J. Appl. Phys. 33, 3125 (1962).
20. J. Helsing, J. Appl. Phys. 73, 1240 (1993).