Computation of static effective permittivity for a multiphase lattice of cylinders

Electromagnetics

Volumn 21, Issue 2, 2001, Pages 97-114

  Wu, Feng ^a   Whites, Keith W ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Effective Medium Calculation; Multiphase; T MATRIX

Indexed keywords

EID: 85047698069     PISSN: 02726343     EISSN: 1532527X     Source Type: Journal    
DOI: 10.1080/02726340151134380     Document Type: Article

References (28)

1. Abramowitz, M., and I. A. Stegun, eds. 1964. Handbook of mathematical functions. Washington, DC: U.S. Government Printing Office.
2. Aspnes, D. E. 1982. Local-field effects and effective-medium theory: A microscopic perspective. Am. J. Phys. 50(8):704-709.
3. Chew, W. C. 1990. Waves and fields in inhomogeneous media. New York: Van Nostrand Reinhold.
4. Chew, W. C., J. A. Friedrich, and R. Geiger. 1990. A multiple scattering solution for the effective permittivity of a sphere mixture. IEEE Trans. Geosci. Remote Sensing, 28(2):207-214.
5. Chew, W. C., L. Gurel, Y. Wang, G. Otto, R. L. Wagner, and Q. H. Liu. 1992. A generalized recursive algorithm for wave-scattering solutions in two dimensions. IEEE Trans. Microwave Theory and Techniques. 40(4):716-723.
6. Garcia-Vidal, F. J., J. M. Pitarke, and J. B. Pendry. 1997. Effective medium theory of the optical properties of aligned carbon nanotubes. Phys. Rev. Lett. 78(22):4289-4292.
7. Guida, G., D. Maystre, G. Tayeb, and P. Vincent. 1998. Mean-field theory of two-dimensional metallic photonic crystals. J. Opt. Soc. Am. B 15(8):2308-2315.
8. Hashin, Z., and S. Shtrikman. 1962. A variational approach to the theory of the effective magnetic permeability of multiphase materials. J. Appl. Phys. 33(10):3125-3131.
9. Huber, T. E., F. Boccuzzi, and L. Silber. 1999. Electromagnetic wave propagation through a wire array composite. Phys. Rev. B 59(11):7446-7450.
10. Kharadly, M. M. Z., and W. Jackson. 1953. The properties of artificial dielectrics comprising arrays of conducting elements. Proc. IEE, 100:199-212.
11. Kock, W. E. 1946. Metal-lens antenna design. IRE Proc. 34:828-836.
12. Lalanne, P. 1996. Effective medium theory applied to photonic crystals composed of cubic or square cylinders. Appl. Opt., 35(27):5369-5380.
13. Maxwell, J. C. 1954. A treatise on electricity and magnetism, 3rd ed. New York: Dover.
14. McKenzie, D. R., R. C. McPhedran, and G. H. Derrick. 1978. The conductivity of lattices of spheres: II. The body centered and faced cubic lattices. Proc. R. Soc. Lond. A, 362:211-232.
15. McPhedran, R. C., and N. A Nicorovici. 1997. Effective dielectric constant of arrays of elliptical cylinders. Physica A. 241:173-178.
16. McPhedran, R. C., C. G. Poulton, N. A. Nicorovici, and A. B. Movchan. 1996. Low frequency corrections to the static effective dielectric constant of a two-dimensional composite material. Proc. R. Soc. Lond. A. 452:2231-2245.
17. Meredith, R. E., and C. W. Tobias. 1960. Resistance to potential flow through a cubical array of spheres. J. Appl. Phys. 31(7): 1270-1273.
18. Niklasson, G. A., C. G. Granqvist, and O. Hunderi. 1981. Effective medium models for the optical properties of inhomogeneous materials. Appl. Opt. 20(1):26-30.
19. Pekonen, O., K. Karkkainen, A. Sihvola, and K. Nikoskinen. 1998. Numerical testing of dielectric mixing rules by FDTD method. Electromagnetic Lab. Report 269, Helsinki University of Technology, Finland.
20. Polder, D., and J. H. Van Santen. 1946. The effective permeability of mixtures of solids. Physica 12 5:257-271.
21. Rayleigh, L. 1892. On the influence of obstacles arranged in rectangular order upon the properties of a medium. Phil. Mag. 34:481-502.
22. Roussel, H., W. C. Chew, F. Jouvie, and W. Tabbara. 1996. Electromagnetic scattering from dielectric and magnetic gratings of fibers-a 7-matrix solution. Journal of Electromagnetic Waves and Applications 10(1): 109-127.
23. Sareni, B., L. Krahenbuhl, A. Beroual, and C. Brousseau. 1996. Effective dielectric constant of periodic composite materials. J. Appl. Phys. 80(3): 1688-1696.
24. Sihvola, A. H., and J. A. Kong. 1988. Effective permittivity of dielectric mixtures. IEEE Trans. Geosci. Remote Sensing. 26(4): 420-429.
25. Smythe, W. R. 1950. Static and dynamic electricity'. 2nd ed. New York: McGraw-Hill.
26. Tsang, L., J. A. Kong, and R. T. Shin. 1985. Theory of microwave remote sensing. New York: Wiley Interscience.
27. Whites, K. W. 1999. Past and present methods for computing the dielectric constant of lattices of spheres. Proceedings of IEEE Southeastcon '99, March 25-28, Lexington, KY, pp. 249-252.
28. Whites, K. W. 2000. Permittivity of a multiphase and isotropic lattice of spheres at low frequency. J. Appl. Phys. 88(4): 1962-1970.