Voigt waves in homogenized particulate composites based on isotropic dielectric components

Journal of Optics

Volumn 13, Issue 10, 2011, Pages

  MacKay, Tom G ^a,b  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b The Pennsylvania State University   (United States)

Author keywords

Bruggeman homogenization formalism; optical singularities; Voigt waves

Indexed keywords

VOLUME FRACTION; WAVE PROPAGATION;

BRUGGEMAN HOMOGENIZATION FORMALISM; COMPONENT MATERIALS; DIELECTRIC COMPONENTS; HOMOGENIZED COMPOSITES; OPTICAL SINGULARITIES; PARTICLE ORIENTATION; PARTICULATE COMPOSITES; VOIGT WAVES;

DIELECTRIC MATERIALS;

EID: 80053929606     PISSN: 20408978     EISSN: 20408986     Source Type: Journal    
DOI: 10.1088/2040-8978/13/10/105702     Document Type: Article

References (37)

1. Lakhtakia A (ed) 1996 Selected Papers on Linear Optical Composite Materials (Bellingham, WA: SPIE Optical Engineering Press)
2. Milton G W 2002 The Theory of Composites (Cambridge: Cambridge University Press)
3. Mackay T G and Lakhtakia A 2006 Correlation length and negative phase velocity in isotropic dielectric-magnetic materials J. Appl. Phys. 100 063533
4. Mackay T G and Lakhtakia A 2004 Plane waves with negative phase velocity in Faraday chiral mediums Phys. Rev. E 69 026602
5. Mackay T G and Lakhtakia A 2003 Voigt wave propagation in biaxial composite materials J. Opt. A: Pure Appl. Opt. 5 91-5
6. Born M and Wolf E 1980 Principles of Optics 6th edn (Oxford: Pergamon)
7. Voigt W 1902 On the behaviour of pleochroitic crystals along directions in the neighbourhood of an optic axis Phil. Mag. 4 90-7
8. Pancharatnam S 1957 Light propagation in absorbing crystals possessing optical activity Proc. Indust. Acad. Sci. B 46 280-302
9. Khapalyuk A P 1962 On the theory of circular optical axes Opt. Spectrosc. (USSR) 12 52-4
10. Fedorov F I and Goncharenko A M 1963 Propagation of light along the circular optical axes of absorbing crystals Opt. Spectrosc. (USSR) 14 51-3
11. Agranovich V M and Ginzburg V L 1984 Crystal Optics with Spatial Dispersion, and Excitons (Berlin: Springer)
12. Grechushnikov B N and Konstantinova A F 1988 Crystal optics of absorbing and gyrotropic media Comput. Math. Appl. 16 637-55
13. Berry M V and Dennis M R 2003 The optical singularities of birefringent dichroic chiral crystals Proc. R. Soc. A 459 1261-92 (Pubitemid 38333387)
14. Lakhtakia A 1998 Anomalous axial propagation in helicoidal bianisotropic media Opt. Commun. 157 193-201 (Pubitemid 128409194)
15. Berry M V 2005 The optical singularities of bianisotropic crystals Proc. R. Soc. A 461 2071-98 (Pubitemid 44420680)
16. 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 15636-45
17. Mackay T G and Lakhtakia A 2004 Correlation length facilitates Voigt wave propagation Waves Random Media 14 L1-11
18. Mackay T G and Weiglhofer W S 2000 Homogenization of biaxial composite materials: dissipative anisotropic properties J. Opt. A: Pure Appl. Opt. 2 426-32
19. Goncharenko A V 2003 Generalizations of the Bruggeman equation and a concept of shape-distributed particle composites Phys. Rev. E 68 041108
20. Mackay T G 2004 Depolarization volume and correlation length in the homogenization of anisotropic dielectric composites Waves Random Media 14 485-98
21. Mackay T G 2006 Waves Random Complex Media 16 85 (erratum)
22. Mackay T G and Lakhtakia A 2008 Electromagnetic fields in linear bianisotropic mediums Prog. Opt. 51 121-209
23. Mackay T G 2005 Linear and nonlinear homogenized composite mediums as metamaterials Electromagnetics 25 461-81
24. Buchanan J L and Turner P R 1992 Numerical Methods and Analysis (New York: McGraw-Hill)
25. Michel B 1997 A Fourier space approach to the pointwise singularity of an anisotropic dielectric medium Int. J. Appl. Electromagn. Mech. 8 219-27 (Pubitemid 127555070)
26. Michel B and Weiglhofer W S 1997 Pointwise singularity of dyadic Green function in a general bianisotropic medium Arch. Elekron. bertrag. 51 219-23 (Pubitemid 127672744)
27. Michel B and Weiglhofer W S 1998 Arch. Elekron. bertrag. 52 31 (erratum)
28. Weiglhofer W S 1998 Electromagnetic depolarization dyadics and elliptic integrals J. Phys. A: Math. Gen. 31 7191-6
29. Mackay T G 2008 On extended homogenization formalisms for nanocomposites J. Nanophoton. 2 021850
30. Arfken G B and Weber H J 1995 Mathematical Methods for Physicists 4th edn (London: Academic)
31. Gerardin J and Lakhtakia A 2001 Conditions for Voigt wave propagation in linear, homogeneous, dielectric mediums Optik 112 493-5 (Pubitemid 33147440)
32. Van Kranendonk J and Sipe J E 1977 Foundations of the macroscopic electromagnetic theory of dielectric media Prog. Opt. 15 245-350
33. Shanker B and Lakhtakia A 1993 Extended Maxwell Garnett model for chiral-in-chiral composites J. Phys. D: Appl. Phys. 26 1746-58
34. Prinkey M T, Lakhtakia A and Shanker B 1994 On the extended Maxwell-Garnett and the extended Bruggeman approaches for dielectric-in- dielectric composites Optik 96 25-30
35. Tsang L, Kong J A and Newton R W 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 (Pubitemid 12476018)
36. Bohren C F 2009 Do extended effective-medium formulas scale properly? J. Nanophoton. 3 039501
37. Mackay T G and Lakhtakia A 2010 Electromagnetic Anisotropy and Bianisotropy: A Field Guide (Singapore: World Scientific)