Anisotropy of composite materials with inclusion with orientation preference

IEEE Transactions on Antennas and Propagation

Volumn 53, Issue 2, 2005, Pages 737-744

  Qing, Anyong ^a   Xu, Xin ^a   Gan, Yeow Beng ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Composite material; Differential evolution strategy (DES); Effective anisotropy; Quasi crystalline approximation; T matrix method

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; COMPOSITE MATERIALS; INCLUSIONS; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBABILITY DENSITY FUNCTION; QUASICRYSTALS; VECTORS;

DIFFERENTIAL EVOLUTION STRATEGY (DES); EFFECTIVE ANISOTROPY; QUASICRYSTALLINE APPROXIMATION; T MATRIX METHOD;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 13944270984     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2004.841316     Document Type: Article

References (24)

1. V. Twersky, "Coherent scalar field in pair-correlated random distribution of aligned scatterers," [i#J. Math. Phys.#1i], vol. 18, pp. 2468-2486, 1977.
2. V. Twersky, "Coherent electromagnetic waves in pair-correlated random distribution of aligned scatterers," [i#J. Math. Phys.#1i], vol. 19, pp. 215-230, 1978.
3. V. V. Varadan, Y. Ma, and V. K. Varadan, "Anisotropic dielectric properties of media containing aligned nonspherical scatterers," [i#IEEE Trans. Antennas Propag.#1i], vol. AP-33, no. 8, pp. 886-890, Aug. 1985.
4. V. V. Varadan and V. K. Varadan, "Multiple scattering of electromagnetic waves by randomly distributed and oriented dielectric scatterers," [i#Phys. Rev. D#1i], vol. 21, no. 2, pp. 388-394, 1980.
5. V. K, Varadan, V. V. Varadan, and Y. H. Pea, "Multiple scattering of elastic waves by cylinders of arbitrary cross section. I. SH waves," [i#J. Acoust. Soc. Amer.#1i], vol. 63, no. 5, pp. 1310-1319, 1978.
6. P. C. Waterman, "Matrix formulation of electromagnetic scattering," [i#IEEE Proc.#1i], vol. 53, no. 8, pp. 805-812, 1965.
7. P. C. Waterman, "Symmetry, unitarity, and geometry in electromagnetic scattering," [i#Phys. Rev. D#1i], vol. 3, no. 4, pp. 825-839, 1971.
8. L. L. Foldy, "The multiple scattering of waves," [i#Phys. Rev.#1i], vol. 67, no. 3 & 4, pp. 107-119, 1945.
9. M. Lax, "Multiple scattering of waves," [i#Rev. Mod. Phys.#1i], vol. 23, no. 4, pp. 287-310, 1951.
10. A. Qing, "Electromagnetic inverse scattering of multiple two-dimensional perfectly conducting objects by the differential evolution strategy," [i#IEEE Trans. Antennas Propag.#1i], vol. 51, no. 6, pp. 1251-1262, Jun. 2003.
11. O. R. Cruzan, "Translational addition theorems for spherical vectorwave functions," [i#Q. Appl. Math.#1i], vol. 20, no. 1, pp. 33-40, 1962.
12. L. Tsang, J. A. Kong, and R. T. Shin, [i#Theory of Microwave Remote Sensing#1i]. New York: Wiley, 1985, ch. 6, pp. 448-454.
13. W. H. Press [i#et al., Numerical Recipes in Fortran 77: The Art of Scientific Computing#1i], 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1992.
14. A. Ishimaru and Y. Kuga, "Attenuation constant of a coherent field in a dense distribution of particles," [i#J. Opt. Soc. Amer.#1i], vol. 72, no. 10, pp. 1317-1320, 1982.
15. J. K. Percus and G. J. Yevick, "Analysis of classical statistical mechanics by means of collective coordinates," [i#Phys. Rev.#1i], vol. 110, no. 1, pp. 1-13, 1958.
16. M. S. Wertheim, "Exact solution of the Percus-Yevick integral equation for hard spheres," [i#Phys. Rev. Lett.#1i], vol. 10, no. 8, pp. 321-323, 1963.
17. G. J. Throop and R. J. Bearman, "Numerical solution of the Percus- Yevick equation for the hard-sphere potential," [i#J Chem. Phys.#1i], vol. 42, no. 7, pp. 2408-2411, 1965.
18. D. A. McQuarrie, [i#Statistical Mechanics#1i]. Sausalito, CA: University Science Books, 2000.
19. J. S. Rowlinson, "Self-consistent approximation for molecular distribution function," [i#Mol. Phys.#1i], vol. 9, pp. 217-227, 1965.
20. V. K. Varadan [i#et al.#1i], "Multiple scattering theory for waves in discrete random media and comparison with experiments," [i#Radio Sci.#1i] vol. 18, no. 3, pp. 321-327, 1983.
21. C. P. Neo, V. K. Varadan, and V. V. Varadan, "Comparison of long-wavelength T-matrix multiple-scattering theory and size-dependent Maxwell- Garnett formula,"[i#Microw. Opt. Tech. Lett.#1i], vol. 23, no. 1, pp. 1-4, 1999.
22. M. Bom and E. Wolf, [i#Principles of Optics#1i], 6th ed. Cambridge, U.K.: Cambridge University Press, 1997.
23. J. A. Kong, [i#Electromagnetic Theory#1i]. New York: Wiley, 1986.
24. A. Qing, X. Xu, and Y. B. Gene, "Effective permittivity tensor of composite materials with aligned spheroidal inclusions," [i#J. Electromagn. Waves. Appl.#1i], vol. 18, no. 7, pp. 899-910.