Bruggeman formalism versus "Bruggeman formalism": Particulate composite materials comprising oriented ellipsoidal particles

Journal of Nanophotonics

Volumn 6, Issue 1, 2012, Pages

  MacKay, Tom G ^a,b   Lakhtakia, Akhlesh ^b  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b The Pennsylvania State University   (United States)

Author keywords

Bruggeman homogenization formalism; ellipsoidal particles; homogenized composite materials

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; GLASS CERAMICS;

BRUGGEMAN FORMALISM; BRUGGEMAN HOMOGENIZATION FORMALISM; COMPONENT MATERIALS; ELLIPSOIDAL PARTICLES; FREQUENCY DOMAINS; HOMOGENIZED COMPOSITES; PARTICULATE COMPOSITE MATERIAL; POLARIZABILITY DENSITY;

DIELECTRIC MATERIALS;

EID: 84872153525     PISSN: None     EISSN: 19342608     Source Type: Journal    
DOI: 10.1117/1.JNP.6.069501     Document Type: Article

References (22)

1. L. Ward, The Optical Constants of Bulk Materials and Films, 2nd ed., Institute of Physics, Bristol, UK (2000).
2. A. Lakhtakia, Ed., Selected Papers on Linear Optical Composite Materials, SPIE Optical Engineering Press, Bellingham, WA (1996).
3. T. G. Mackay, "Effective constitutive parameters of linear nanocomposites in the long-wavelength regime," J. Nanophoton. 5(1), 051001 (2011), http://dx.doi.org/10.1117/1.3626857.
4. D. A. G. Bruggeman, "Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen, I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen Substanzen," Ann. Phys. Lpz. 24, 636-679 (1935). (Reproduced in Ref. 2).
5. W. S. Weiglhofer, A. Lakhtakia, and B. Michel, "Maxwell Garnett and Bruggeman formalisms for a particulate composite with bianisotropic host medium," Microw. Opt. Technol. Lett. 15(4), 263-266 (1997), http://dx.doi.org/10.1002/(ISSN)1098-2760; corrections: Microw. Opt. Technol. Lett. 22, 221 (1999), http://dx.doi.org/10.1002/(ISSN)1098-2760.
6. L. Tsang and J. A. Kong, "Scattering of electromagnetic waves from random media with strong permittivity fluctuations," Radio. Sci. 16(3), 303-320 (1981), http://dx.doi.org/10.1029/RS016i003p00303. (Reproduced in Ref. 2).
7. Z. D. Genchev, "Anisotropic and gyrotropic version of Polder and van Santen's mixing formula," Waves Random Media 2, 99-110 (1992), http://dx.doi.org/10.1088/0959-7174/2/2/001.
8. N. P. Zhuck, "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(21), 15636-15645 (1994), http://dx.doi.org/10.1103/PhysRevB.50.15636.
9. T. G. Mackay, A. Lakhtakia, and W. S. Weiglhofer, "Strong-property- fluctuation theory for homogenization of bianisotropic composites: formulation," Phys. Rev. E 62(5), 6052-6064 (2000), http://dx.doi.org/10. 1103/PhysRevE.62.6052; corrections: Phys. Rev. E 63, 049901 (2001), http://dx.doi.org/10.1103/PhysRevE.63.049901.
10. T. G. Mackay, A. Lakhtakia, and W. S. Weiglhofer, "Third-order implementation and convergence of the strong-property-fluctuation theory in electromagnetic homogenisation," Phys. Rev. E 64(6 Pt 2), 066616 (2001), http://dx.doi.org/10.1103/PhysRevE.64.066616.
11. T. G. Mackay and A. Lakhtakia, "Electromagnetic fields in linear bianisotropic mediums," Prog. Optics 51, 121-209 (2008), http://dx.doi.org/10.1016/S0079-6638(07)51003-6.
12. G. B. Smith, "Effective medium theory and angular dispersion of optical constants in films with oblique columnar structure," Opt. Commun. 71(5), 279-284 (1989), http://dx.doi.org/10.1016/0030-4018(89)90008-4. (Reproduced in Ref. 2).
13. C. G. Granqvist, D. Le Bellac, and G. A. Niklasson, "Angular selective window coatings: effective medium theory and experimental data on sputter-deposited films," Renew. Energ. 8(1-4), 530-539 (1996), http://dx.doi.org/10.1016/0960-1481(96)88913-0.
14. D. Schmidt, E. Schubert, and M. Schubert, "Optical properties of cobalt slanted columnar thin films passivated by atomic layer deposition," Appl. Phys. Lett. 100, 011912 (2012), http://dx.doi.org/10.1063/1.3675549.
15. T. Hofmann et al., "THz dielectric anisotropy of metal slanted columnar thin films," Appl. Phys. Lett. 99(8), 081903 (2011), http://dx.doi.org/10.1063/1.3626846.
16. D. Polder and J. H. van Santen, "The effective permeability of mixtures of solids," Physica 12(5), 257-271 (1946), http://dx.doi.org/10. 1016/S0031-8914(46)80066-1. (Reproduced in Ref. 2).
17. Z. Hashin and S. Shtrikman, "Avariational approach to the theory of the effective magnetic permeability of multiphase materials," J. Appl. Phys. 33, 3125-3131 (1962), http://dx.doi.org/10.1063/1.1728579. (Reproduced in Ref. 2).
18. A. Alù et al., "Epsilon-near-zero metamaterials and electromagnetic sources: tailoring the radiation phase pattern," Phys. Rev. B 75, 155410 (2007), http://dx.doi.org/10.1103/PhysRevB.75.155410.
19. G. Lovat et al., "Combinations of low/high permittivity and/or permeability substrates for highly directive planar metamaterial antennas," IET Microw. Antennas Propagat. 1, 177-183 (2007), http://dx.doi.org/10.1049/ iet-map:20050353.
20. M. N. Navarro-Cía et al., "Enhanced lens by ε and μ near-zero metamaterial boosted by extraordinary optical transmission," Phys. Rev. B 83, 115112 (2011), http://dx.doi.org/10.1103/PhysRevB.83.115112.
21. T. G. Mackay, "On the effective permittivity of silver-insulator nanocomposites," J. Nanophoton. 1, 019501 (2007), http://dx.doi.org/10. 1117/1.2472372.
22. B. M. Ross and A. Lakhtakia, "Bruggeman approach for isotropic chiral mixtures revisited," Microw. Opt. Technol. Lett. 44(6), 524-527 (2005), http://dx.doi.org/10.1002/(ISSN)1098-2760.