Bloch material parameters of magneto-dielectric metamaterials and the concept of Bloch lattices

Metamaterials

Volumn 1, Issue 2, 2007, Pages 62-80

  Simovski, Constantin R ^a  

^a ITMO UNIVERSITY   (Russian Federation)

Author keywords

Bloch lattices; Lorentz Lorenz formula; Metamaterials

Indexed keywords

EID: 36048999484     PISSN: 18731988     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.metmat.2007.09.002     Document Type: Article

References (61)

1. Pendry J.B. Negative refraction makes perfect lens. Phys. Rev. Lett. 85 (2000) 3966
2. Grbic A., and Eleftheriades G.V. Overcoming the diffraction limit with a planar left-handed transmission-line lens. Phys. Rev. Lett. 92 (2004) 117403
3. Ikonen P., Belov P., Simovski C., and Maslovski S. Experimental demonstration of. subwavelength field channeling at microwave frequencies using a capacitively loaded wire array. Phys. Rev. B 73 (2006) 073102
4. Ishihara K., Ikari T., Minamide H., et al. Terahertz near-field imaging using enhanced transmission through a single subwavelength aperture. Jpn. J. Appl. Phys. 44 (2005) 929
5. Fang N., Lee H., Sun C., and Zhang X. Sub-Diffraction-Limited Optical Imaging with a Silver Superlens. Science 308 (2005) 534
6. Melville D.O.S., and Blaikie R.J. Super-resolution imaging through a planar silver layer. Opt. Express 13 (2005) 2127
7. Liu Z., Durant S., Lee H., et al. Experimental studies of far-field superlens for sub-diffractional optical imaging. Opt. Lett. 32 (2007) 621
8. Liu Z., Lee H., Xiong Y., et al. Far-Field Optical Hyperlens magnifying sub-diffraction-limited objects. Science 315 (2007) 1686
9. Smolyaninov I.I., Hung Y.-J., Davis C.C., et al. Magnifying superlens in the visible frequency range. Sience 315 (2007) 1699
10. Caloz C., and Itoh T. Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications (2006), J. Wiley and Sons, NY
11. Eleftheriades G., and Balmain K.G. Negative-Refraction Metamaterials: Fundamental Principles and Applications (2006), Wiley, NY
12. In: Engheta N., and Ziolkowski R. (Eds). Metamaterials Physics and Engineering Explorations (2006), J. Wiley and Sons, NY
13. O'Brien S., and Pendry J.B. Magnetic activity at infrared frequencies in structured metallic photonic crystals. J. Phys. Condens. Matter 14 (2002) 6383
14. Smith D.R., Schultz S., Markos P., and Soukoulis C. Determination of effective permittivity and permeability of metamaterials from re. ection and transmission coefficient. Phys. Rev. B 65 (2002) 195104
15. Koschny T., Markos P., Smith D.R., and Soukoulis C.M. Resonant and anti-resonant frequency dependence of the effective parameters of metamaterials. Phys. Rev. E 58 (2003) 065602
16. Huang K.C., Povinelli M.L., and Joannopoulos J.D. Negative effective permeability in polaritonic photonic crystals. Appl. Phys. Lett. 85 (2004) 543
17. O'Brien S., and Pendry J.B. Photonic band gap effects and magnetic activity of dielectric composites. J. Phys. : Condens. Matter 14 (2002) 4035
18. S. O'Brien, Artificial Magnetic Structures, Ph.D. Thesis, Imperial College of Science, Technology and Medicine, Department of Physics, available at: http://www.imperial.ac.uk/research/cmth/research/theses/S.OBrien.pdf.
19. O'Brien S., McPeake D., Ramakrishna S.A., and Pendry J.B. Near infrared photonic bandgaps and nonlinear effects in negative magnetic metamaterials. Phys. Rev. B 69 (2004) 241101
20. Katsarakis N., Koschny T., Kafesaki M., et al. Left- and right-handed transmission peaks near the magnetic resonance frequency in composite metamaterials. Phys. Rev. B 70 (2004) 201101R
21. Katsarakis N., Konstantinidis G., Kostopoulos A., et al. Magnetic response of split-ring resonators in the far-infrared frequency regime. Opt. Lett. 30 (2005) 1348
22. Koschny T., Kafesaki M., Economou E.N., and Soukoulis C.M. Effective medium theory of left-handed materials. Phys. Rev. Lett. 93 (2004) 107402
23. Dolling G., Enkrich C., Wegener M., et al. Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials. Opt. Lett. 30 (2005) 3198
24. Chettiar U.K., Kildishev A.V., Klar T.A., and Shalaev V.M. Negative index metamaterial combining magnetic resonators with metal films shape. Opt. Express 30 (2006) 7872
25. Dolling G., Wegener M., and Linden S. Realization of a three-functional-layer negative-index photonic metamaterial. Opt. Lett. 32 (2007) 551
26. Shalaev V.M., Cai W., Chettiar U.K., et al. Negative index of refraction in optical metamaterials. Opt. Lett. 30 (2005) 3356
27. Dolling G., Enkrich C., Wegener M., et al. Low-loss negative-index metamaterial at telecommunication wavelengths. Opt. Lett. 31 (2006) 1800
28. Dolling G., Wegener M., Soukoulis C., et al. Negative-index metamaterial at 780 nm wavelength. Opt. Lett. 32 (2007) 53
29. Alexopoulos N.G., Kyriazidou C.A., and Contapanagos H.F. Effective parameters for metamorphic materials and metamaterials through a resonant inverse scattering approach. IEEE Trans. Microw. Theor. Technol. 55 (2007) 254
30. Simovski C.R., and Tretyakov S.A. Local constitutive parameters of metamaterials from an effective-medium perspective. Phys. Rev. B 75 (2007) 195111
31. Vinogradov A.P., Makhnovskiy D.P., and Rozanov K.N. Homogenization of composite materials with complex-shape inclusions. J. Commun. Technol. Electron. 44 (1999) 317
32. Anantha Ramakrishna S. Physics of negative refractive index materials. Rep. Prog. Phys. 68 (2005) 449
33. Landau L.D., and Lifshitz E.M. Electrodynamics of Continuous Media (1960), Pergamon Press, Oxford
34. Sobelman I.I. On the theory of light scattering in gases. Uspekhi Fizicheskih Nauk (Sovjet Physics Uspekhi) 172 (2002) 85
35. Sipe J., and Kranendonk J.V. Macroscopic electromagnetic theory of resonant dielectrics. Phys. Rev. A 9 (1974) 1806
36. Silveirinha M. Transverse-average field approach for the characterization of thin metamaterial slabs. Phys. Rev. E 75 (2007) 036613
37. L. Rayleigh, On the influence of obstacles arranged in rectangular order on the properties of a medium, Philos. Mag., Ser. 5, 34 (1892) 481.
38. Kock W.E. Metallic-particles delay lenses. Bell Syst. Tech. J. 27 (1948) 58
39. Born M., and Wolf E. Principles of Optics (1989), Pergamon, Oxford
40. Collin R.E. Field Theory of Guided Waves (1991), IEEE Press, NY
41. F. Bloch, Z. Physik, Uber die Quantenmechanik der Elektronen in Kristallgittern 52 (1928) 555.
42. Mahan G., and Obermair G. Polaritons at surfaces. Phys. Rev. 183 (1969) 834
43. Belov P.A., and Simovski C.R. Boundary conditions for interfaces of electromagnetic crystals and the generalized Ewald-Oseen extinction principle. Phys. Rev. B 73 (2006) 045102
44. Pozar D.M. Microwave Engeneering. 2nd ed. (1998), John Willey and Sons
45. Collin R.E. Foundations of Microwave Enegineering (1991), IEEE Press, New York
46. Tretyakov S.A. Analytical Modeling in Applied Electromagnetic (2003), Artech House, Norwood, MA
47. Simovski C., and He S. Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducting Ω particles Phys. Lett. A 311 (2003) 254
48. Verney E., Sauviac B., and Simovski C. isotropic metamaterial electromagnetic lens. Phys. Lett. A 315 (2004) 332
49. Pendry J.B., Holden A.J., Robins D.J., and Stewart W.J. Extremely low-frequency plasmons in metallic nanostructures. J. Phys. Condens. Matter 10 (1998) 4785
50. Pendry J.B., Holden A.J., Robins D.J., and Stewart W.J. Magnetism frfom conductors and enhanced nonlinear phenomena. IEEE Trans. MTT 47 (1999) 2075
51. Belov P.A., Tretyakov S.A., and Viitanen A.J. Dispersion and reflection properties of artificial media formed by regular lattices of ideally conducting wires. J. Electromagn. W. Appl. 19 (2002) 1023
52. Belov P., Marques R., Silveirinha M., et al. Strong spatial dispersion in wire media in the very large wavelength limit. Phys. Rev. B 67 (2003) 113103
53. Simovski C.R., Belov P.A., and He S. Backward wave region and negative material parameters of a structure formed by lattices of wires and split-ring resonators. IEEE Trans. Antennas Propagat. 51 (2003) 2582
54. Simovski C., and Sauviac B. Role of wave interaction of wires and split-ring resonators for the losses in a left-handed composite. Phys. Rev. E 70 (2004) 046607
55. Tretyakov S.A., Nefedov I., Simovski C.R., and Maslovski S. Modelling and microwave properties of artificial materials with negative parameters. In: Zouhdi S., and Sihvola A. (Eds). Advances in Electromagnetics of Complex Media and Metamaterials (2003), Kluwer Academic Publishers, Dordrecht 99-122
56. Pokrovsky A.L., and Efros A.L. Electrodynamics of metallic photonic crystals and the problem of left-handed materials. Phys. Rev. Lett. 89 (2002) 093901
57. Shelby R.A., Smith D.R., and Schultz S. Experimental verification of a negative index of refraction. Science 292 (2001) 77
58. Parazzoli C.G., Greegor R.B., Li K., et al. Experimental verification and simulation of negative index of refraction using snell's law. Phys. Rev. Lett. 90 (2003) 107401
59. Houck A.A., Brock J.B., and Chuang I.L. Experimental observations of a left-handed material that obeys Snell's law. Phys. Rev. Lett. 90 (2003) 137401
60. Simovski C.R., Tretyakov S.A., Sihvola A.H., and Popov M. On the surface effects in thin molecular or composite layers. Eur. Phys. J.: Appl. Phys. 9 (2000) 195
61. Simovski C.R., and Sauviac B. On the bulk averaging approach for obtaining the effective parameters of thin magnetic granular films. Eur. Phys. J.: Appl. Phys. 17 (2002) 11