Additional effective medium parameters for composite materials (excess surface currents)

Optics Express

Volumn 19, Issue 7, 2011, Pages 6699-6704

  Vinogradov, A P ^a   Ignatov, A I ^a   Merzlikin, A M ^a   Tretyakov, S A ^b   Simovski, C R ^b  

^a INSTITUTE FOR THEORETICAL AND APPLIED ELECTRODYNAMICS   (Russian Federation)

^b AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

REFRACTIVE INDEX;

BULK VALUE; EFFECTIVE IMPEDANCE; EFFECTIVE MEDIUM; EFFECTIVE PARAMETERS; RETRIEVAL PROCEDURES; SURFACE CURRENT; SYSTEM SIZE;

COMPOSITE MATERIALS;

ARTICLE; CHEMICAL MODEL; COMPUTER SIMULATION; ELECTROMAGNETIC FIELD; IMPEDANCE; LIGHT; MATERIALS; METHODOLOGY; RADIATION SCATTERING; REFRACTOMETRY;

COMPUTER SIMULATION; ELECTRIC IMPEDANCE; ELECTROMAGNETIC FIELDS; LIGHT; MANUFACTURED MATERIALS; MODELS, CHEMICAL; REFRACTOMETRY; SCATTERING, RADIATION;

EID: 79953187651     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.006699     Document Type: Article

References (38)

1. G. W. Milton, The Theory of Composites (Cambridge University Press, 2002).
2. W. Cai, and V. Shalaev, Optical Metamaterials (Springer, 2010).
3. C. Caloz, and T. Itoh, Electromagnetic metamaterials: Transmission Line Theory and Microwave Applications (John Wiley & Sons Inc., 2007).
4. A. P. Vinogradov, and A. M. Merzlikin, "On the problem of homogenizing one-dimensional systems," J. Exp. Theor. Phys. 94(3), 482-488 (2002). (Pubitemid 44258176)
5. A. P. Vinogradov, and A. M. Merzlikin, "Electrodynamic properties of a finely layered medium," Dokl. Phys. 46(12), 832-834 (2001). (Pubitemid 33389014)
6. S. M. Rytov, "Electromagnetic properties of laminated medium," Zh. Eksp. Teor. Fiz. 29, 605-616 (1955) [(Sov. Phys. - JETP. 2, 466-475 (1956)].
7. S. O'Brien, and J. B. Pendry, "Photonic band-gap effects and magnetic activity in dielectric composites," J. Phys. Condens. Matter 14(15), 4035-4044 (2002). (Pubitemid 34531560)
8. D. R. Smith, S. Schultz, P. Markos, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B 65(19), 195104 (2002).
9. J. Zhou, T. Koschny, M. Kafesaki, and C. M. Soukoulis, "Size dependence and convergence of the retrieval parameters of metamaterials," Photon. Nanostructures 6(1), 96-101 (2008). (Pubitemid 351389834)
10. A. Ludwig, and K. J. Webb, "Accuracy of effective medium parameter extraction procedures for optical metamaterials," Phys. Rev. B 81(11), 113103 (2010).
11. A. K. Sarychev, D. J. Bergman, and Y. Yagil, "Theory of the optical and microwave properties of metal-dielectric films," Phys. Rev. B Condens. Matter 51(8), 5366-5385 (1995).
12. C. Fietz, and G. Shvets, "Current-driven metamaterial homogenization," Physica B 405(14), 2930-2934 (2010).
13. D. R. Smith, and J. B. Pendry, "Homogenization of metamaterials by field averaging," J. Opt. Soc. Am. B 23(3), 391-403 (2006).
14. O. Acher, J. M. Lerat, and N. Malléjac, "Evaluation and illustration of the properties of metamaterials using field summation," Opt. Express 15(3), 1096-1106 (2007). (Pubitemid 46220490)
15. S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Effective dielectric constant of periodic composite structures," Phys. Rev. B Condens. Matter 48(20), 14936-14943 (1993).
16. A. P. Vinogradov, and A. V. Aivazyan, "Scaling theory for homogenization of the Maxwell equations," Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 60(1), 987-993 (1999). (Pubitemid 129691252)
17. K. W. Whites, "Full-wave computation of constitutive parameters for lossless composite chiral materials," IEEE Trans. Antenn. Propag. 43(4), 376-384 (1995).
18. G. Franceschetti, "A complete analysis of the reflection and transmission methods for measuring the complex permeability and permittivity of materials at microwave frequencies," 36, 757-764 (1967).
19. X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, Jr., and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of metamaterials," Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(1), 016608 (2004).
20. A. M. Nicolson, and G. F. Ross, "Measurement of the intrinsic properties of materials by time domain techniques," IEEE Trans. Instrum. Meas. 17, 395-402 (1968).
21. W. B. Weir, "Automatic measurement of complex dielectric constant and permeability at microwave frequencies," Proc. IEEE 62(1), 33-36 (1974).
22. L. A. Weinstein, Theory of Diffraction and Microwave Electronics (Radio i Sviaz, 1995), p.179 (in Russian).
23. W. Smigaj, and B. Gralak, "Validity of the effective-medium approximation of photonic crystals," Phys. Rev. B 77(23), 235445 (2008).
24. N. A. Enkin, A. M. Merzlikin, and A. P. Vinogradov, "The difference of the refraction laws in composite materials from the Fresnel laws," J. Commun. Technol. Electron. 55(5), 565-571 (2010).
25. M. Born, Optics (Springer, 1933).
26. A. P. Vinogradov, and I. I. Skidanov, "Generalization of Drude's formulas for the transition layer to chiral media," J. Commun. Technol. Electron. 47, 517-520 (2002).
27. C. R. Simovski, "Material parameters of metamaterials," Opt. Spectrosc. 107(5), 726-753 (2009).
28. A. P. Vinogradov, K. N. Rosanov, and D. P. Makhnovsky, "Effective boundary layer in composite material," J. Commun. Technol. Electron. 44, 317-322 (1999). (Pubitemid 129572352)
29. C. R. Simovski, and B. Sauviac, "On the bulk averaging approach for obtaining the effective parameters of thin magnetic granular films," Eur. Phys. J. Appl. Phys. 17(1), 11-20 (2002). (Pubitemid 34090087)
30. C. R. Simovski, "Application of the Fresnel formulas for reflection and transmission of electromagnetic waves beyond the quasi-static approximation," J. Commun. Technol. Electron. 52(9), 953-971 (2007). (Pubitemid 47536596)
31. C. R. Simovski, and S. A. Tretyakov, "Local constitutive parameters of metamaterials from an effective-medium perspective," Phys. Rev. B 75(19), 195111 (2007).
32. C. R. Simovski, "Bloch material parameters of magneto-dielectric metamaterials and the concept of Bloch lattices," Metamaterials (Amst.) 1(2), 62-80 (2007).
33. V. M. Agranovich, and V. L. Ginzburg, Spatial Dispersion in Crystal Optics and the Theory of Excitons, Monographs and Texts in Physics and Astronomy, Vol. XIII (Interscience, 1966).
34. A. P. Vinogradov, "On the form of constitutive equations in electrodynamics," Physics-Uspekhi 45(3), 331-338 (2002). (Pubitemid 44313734)
35. T. B. A. Senior, and J. L. Volakis, Approximate Boundary Conditions in Electrodynamics (The Institute of Electrical Engineers, 1995).
36. D. Bedeaux, J. Vlieger, Optical Properties of Surfaces, 2 ed. (Imperial College Press, 2004).
37. I. Tsukerman, "From Whitney Forms to Metamaterials: A Rigorous Homogenization Theory," http://arxiv.org/PS-cache/arxiv/pdf/1010/1010. 3632v1.pdf
38. S. Kim, E. F. Kuester, C. L. Holloway, A. D. Scher, and J. Baker-Jarvis, "Boundary effects on the determination of metamaterial parameters from normal incidence reflection and transmission measurements," http://arxiv.org/abs/1009.5927