On convergence of the extended strong-property-fluctuation theory for bianisotropic homogenized composites

Electromagnetics

Volumn 27, Issue 8, 2007, Pages 495-506

  Cui, Jaijia ^a   MacKay, Tom G ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Bruggeman formalism; Depolarization region; Faraday chiral medium; Long wavelength regime

Indexed keywords

ANISOTROPY; HOMOGENIZATION METHOD; PARAMETER ESTIMATION; STATISTICAL METHODS;

BIANISOTROPIC HOMOGENIZED COMPOSITES; STRONG-PROPERTY-FLUCTUATION THEORY (SPFT);

COMPOSITE MATERIALS;

EID: 36249031076     PISSN: 02726343     EISSN: 1532527X     Source Type: Journal    
DOI: 10.1080/02726340701668062     Document Type: Article

References (37)

1. Collin, R. E. 1966. Foundations for microwave engineering. New York: McGraw-Hill.
2. Cui, J., & T. G. Mackay. 2007a. Depolarization regions of nonzero volume in bianisotropic homogenized composites. Waves Random Complex Media 17:269-281.
3. Cui, J., & T. G. Mackay. 2007b. Depolarization regions of nonzero volume for anisotropic, cubically nonlinear, homogenized nanocomposites. J. Nanophotonics 1:013506.
4. Doyle, W. T. 1989. Optical properties of a suspension of metal spheres. Phys. Rev. B 39:9852-9858.
5. Dungey, C. E., & C. F. Bohren. 1991. Light scattering by nonspherical particles: A. refinement to the coupled-dipole method. J. Opt. Soc. Am. A 8:81-87.
6. Engheta, N., D. L. Jaggard, & M. W. Kowarz. 1992. Electromagnetic waves in Faraday chiral media. IEEE Trans. Antennas Propagat. 40:367-374.
7. Genchev, Z. D. 1992. Anisotropic and gyrotropic version of Polder and van Santen's mixing formula. Waves Random Media 2:99-110.
8. Lakhtakia, A. 1994. Beltrami fields in chiral media. World Scientific: Singapore.
9. Lakhtakia, A., (ed.). 1996. Selected papers on linear optical composite materials. Bellingham, WA: SPIE Optical Engineering Press.
10. Lakhtakia, A. 2001. Application of strong permittivity fluctuation theory for isotropic, cubically nonlinear, composite mediums. Opt. Commun. 192:145-151.
11. Lakhtakia, A., & B. Shanker. 1993. Beltrami fields within continuous source regions, volume integral equations, scattering algorithms, and the extended Maxwell-Garnett model. Int. J. Appl. Electromag. Mater. 4:65-82.
12. Lax, B., & K. J. Button. 1962. Microwave ferrites and ferrimagnetics. New York: McGraw-Hill.
13. Mackay, T. G. 2003. Geometrically derived anisotropy in cubically nonlinear dielectric composites. J. Phys. D: Appl. Phys. 36:583-591.
14. Mackay, T. G. 2004. Depolarization volume and correlation length in the homogenization of anisotropic dielectric composites. Waves Random Media 14:485-498; erratum.: Waves Random Complex Media 16:85 (2006).
15. Mackay, T. G. 2005. Linear and nonlinear homogenized composite mediums as metamaterials. Electromagnetics 25:461-481.
16. Mackay, T. G., & A. Lakhtakia. 2004. Plane waves with negative phase velocity in Faraday chiral mediums. Phys. Rev. E 69:026602.
17. Mackay, T. G., A. Lakhtakia, & W. S. Weiglhofer. 2000. Strong-property-fluctuation theory for homogenization of bianisotropic composites: Formulation. Phys. Rev. E 62:6052-6064; erratum.: 63:049901 (2001).
18. Mackay, T. G., A. Lakhtakia, & W. S. Weiglhofer. 2001a. Third-order implementation and convergence of the strong-property-fluctuation theory in electromagnetic homogenization. Phys. Rev. E 64:066616.
19. Mackay, T. G., A. Lakhtakia, & W. S. Weiglhofer. 2001b. Homogenisation of similarly oriented, metallic, ellipsoidal inclusions using the bilocal-approximated strong-property-fluctuation theory. Opt. Commun. 197:89-95.
20. Mackay, T. G., A. Lakhtakia, & W. S. Weiglhofer. 2002. Homogenisation of isotropic, cubically nonlinear, composite mediums by the strong-permittivity-fluctuation theory: third-order considerations. Opt. Commun. 204:219-228.
21. Mackay, T. G., A. Lakhtakia, & W. S. Weiglhofer. 2003. The strong-property-fluctuation theory for cubically nonlinear, isotropic chiral composite mediums. Electromagnetics 23:455-479.
22. Michel, B. 1997. A Fourier space approach to the pointwise singularity of an anisotropic dielectric medium. Int. J. Appl. Electromagn. Mech. 8:219-227.
23. Michel, B., & A. Lakhtakia. 1995. Strong-property-fluctuation theory for homogenizing chiral. particulate composites. Phys. Rev. E 51:5701-5707.
24. Michel, B., & W. S. Weiglhofer. 1997. Pointwise singularity of dyadic Green function in a general bianisotropic medium.. Arch. Elektr. Übertrag. 51:219-223; erratum: 52:310 (1998).
25. Press, W. H., B. P. Flannery, S. A. Teukolsky, & W. T. Vetterling. 1992. Numerical recipes in fortran, 2nd ed. Cambridge, UK: Cambridge University Press.
26. Prinkey, M. T., A. Lakhtakia, & B. Shanker. 1994. On the extended Maxwell-Garnett and the extended Bruggeman approaches for dielectric-in- dielectric composites. Optik 96:25-30.
27. Shanker, B. 1996. The extended Bruggeman approach for chiral-in-chiral mixtures. J. Phys. D: Appl. Phys. 29:281-288.
28. Shanker, B., & A. Lakhtakia. 1993a. Extended Maxwell Garnett model for chiral-in-chiral composites. J. Phys. D: Appl. Phys. 26:1746-1758.
29. Shanker, B., & A. Lakhtakia. 1993b. Extended Maxwell Garnett formalism for composite adhesives for microwave-assisted adhesion of polymer surfaces. J. Composite Mater. 27:1203-1213.
30. Tsang, L., & J. A. Kong. 1981. Scattering of electromagnetic waves from random media with strong permittivity fluctuations. Radio Sci. 16:303-320.
31. Tsang, L., J. A. Kong, & R. W. Newton. 1982. Application of strong fluctuation random medium theory to scattering of electromagnetic waves from a half-space of dielectric mixture. IEEE Trans. Antennas Propagat. 30:292-302.
32. Walser, R. M. 2003. Metamaterials: An introduction. In Introduction to complex mediums for optics and electromagnetics, W. S. Weiglhofer and A. Lakhtakia, eds. Bellingham, WA: SPIE Press, 295-316.
33. Ward, L. 1995. The optical constants of bulk materials and films, 2nd ed. Bristol, UK: Adam Hilger.
34. Weiglhofer, W. S., & A. Lakhtakia. 1998. The correct constitutive relations of chiroplasmas and chiroferrites. Microw. Opt. Technol. Lett. 17:405-408.
35. Weiglhofer, W. S., A. Lakhtakia, & B. Michel. 1998. On the constitutive parameters of a chiroferrite composite medium. Microwave Opt. Technol. Lett. 18:342-345.
36. Weiglhofer, W. S., & T. G. Mackay. 2000. Numerical studies of the constitutive parameters of a chiroplasma composite medium. Arch. Elektr. Übertrag. 54:259-265.
37. Zhuck, N. P. 1994. Strong-fluctuation theory for a mean electromagnetic field in a statistically homogeneous random medium with arbitrary anisotropy of electrical and statistical properties. Phys. Rev. B 50:15636-15645.