Metamaterials and the Landau-Lifshitz permeability argument: Large permittivity begets high-frequency magnetism

Proceedings of the National Academy of Sciences of the United States of America

Volumn 106, Issue 6, 2009, Pages 1693-1698

  Merlin, Roberto ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Effective medium theory; Electromagnetic scattering; Negative refraction; Split rings

Indexed keywords

ARTICLE; INTERMETHOD COMPARISON; MAGNETISM; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PERMEABILITY; PRIORITY JOURNAL;

EID: 60549091711     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.0808478106     Document Type: Article

References (55)

1. Pendry JB (2000) Negative refraction makes a perfect lens. Phys Rev Lett 85:3966-3969.
2. Milton GW, Nicorovici NAP, McPhedran RC, Podolskiy VA (2005) A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance. Proc R Soc London Ser A 461:3999-4034.
3. Merlin R (2004) Analytical solution of the almost-perfect-lens problem. Appl Phys Lett 84:1290-1293.
4. Engheta N, Ziolkowskii RW, eds (2006) Electromagnetic Metamaterials: Physics and Engineering Explorations (Wiley, New York).
5. Schurig D, et al. (2006) Metamaterial electromagnetic cloak at microwave frequencies. Science 314:977-980.
6. Sivukhin DV (1957) The energy of electromagnetic fields in dispersive media (in Russian). Opt Spektrosk 3:308-312.
7. Veselago VG (1968) The electrodynamics of substances with simultaneously negative values of ε and μ. Soviet Phys Usp 10:509-514.
8. Pimenov A, Loidl A, Gehrke K, Moshnyaga V, Samwer K (2007) Negative refraction observed in a metallic ferromagnet in the gigahertz frequency range. Phys Rev Lett 98:197401.
9. Pendry JB, Holden AJ, Robbins DJ, Stewart WJ (1999) Magnetism from conductors and enhanced nonlinear phenomena. IEEE Trans Microwave Theory Tech 47:2075-2084.
10. Marqués R, Medina F, Rafii-El-Idrissi R (2002) Role of bianisotropy in negative permeability and left-handed metamaterials. Phys Rev B 65:144440.
11. Popa BI, Cummer SA (2008) Compact dielectric particles as a building block for low-loss magnetic metamaterials. Phys Rev Lett 100:207401.
12. Pendry JB, Smith DR (2004) Reversing light with negative refraction. Phys Today 57:37-43.
13. Soukoulis CM, Linden S, Wegener M (2007) Negative refractive index at optical wavelengths. Science 315:47-49.
14. Shalaev VM (2007) Optical negative-index metamaterials. Nat Photon 1:41-48.
15. Agranovich VM, Gartstein YN (2006) Spatial dispersion and negative refraction of light. Physics-Uspekhi 49:1029-1044.
16. Veselago V, Braginsky L, Shklover V, Hafner C (2006) Negative refractive index materials. J Comput Theor Nanosci 3:1-30.
17. Landau LD, Lifshitz EM (1960) Electrodynamics of Continuous Media (Pergamon, Oxford, UK), p 251.
18. Urzhumov YA, Shvets G (2008) Optical magnetism and negative refraction in plasmonic metamaterials. Solid State Commun 146:208-220.
19. Tsukerman I (2008) Negative refraction and the minimum lattice cell size. J Opt Soc Am B 25:927-936.
20. Jackson JD (1999) Classical Electrodynamics (Wiley, Hoboken, NJ), 3rd Ed, p 248.
21. De Visschere P (2006) On the origin dependence of multipole moments in electromagnetism. J Phys D 39:4278-4283.
22. Waterman PC, Pedersen NE (1986) Electromagnetic scattering by periodic arrays of particles. J Appl Phys 59:2609-2618.
23. Felbacq D, Bouchitté G (2005) Theory of mesoscopic magnetism in photonics crystals. Phys Rev Lett 94:183902.
24. Mahan GD (1988) Long-wavelength absorption of cermets. Phys Rev B 38:9500-9503.
25. Maxwell-Garnett JC (1904) Colours in metal glasses and in metallic films. Phil Trans R Soc London 203:385-420.
26. Bruggeman DAG (1935) Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen. I. Dielektrizitätskonstanten und Leitfähigkeiten der Mischkörper aus isotropen Substanzen. Ann Phys (Leipzig) 24:636-664.
27. Born M, Wolf E (1999) Principles of Optics (Cambridge Univ Press, Cambridge, UK), 7th Ed, p 92.
28. Barron LD (2004) Molecular Light Scattering and Optical Activity (Cambridge Univ Press, Cambridge, UK), 2nd Ed.
29. Vinogradov AP (2002) On the form of constitutive equations in electrodynamics. Physics-Uspekhi 45:331-338.
30. Bungay AR, Svirko YP, Zheludev NI (1993) Equivalency of the Casimir and the Landau-Lifshitz approaches to continuous-media electrodynamics and optical activity on reflection. Phys Rev B 47:11730-11735.
31. Graham EB, Raab RE (1990) Light propagation in cubic and other anisotropic crystals. Proc Math Phys Sci 430:593-614.
32. Maier SA (2007) Plasmonics: Fundamentals and Applications (Springer, Berlin).
33. Stratton JA (1941) Electromagnetic Theory (McGraw-Hill, New York), p 524.
34. Stump DR, Pollack GL (1997) Magnetic dipole oscillations and radiation damping. Am J Phys 65:81-87.
35. Ishikawa A, Tanaka T, Satoshi S (2005) Negative magnetic permeability in the visible light region. Phys Rev Lett 95:237401.
36. Zhou J, et al. (2005) Saturation of the magnetic response of split-ring resonators at optical frequencies. Phys Rev Lett 95:223902.
37. Holloway CL, Kuester EF, Baker-Jarvis J, Kabos P (2003) A double negative (DNG) composite medium composed of magnetodielectric spherical particles embedded in a matrix. IEEE Trans Antennas Propag 51:2596-2603.
38. Ran L, Chen H, Zhang H, Kong JA, Grzegorczyk TM (2007) Experimental observation of left-handed behavior in an array of standard dielectric resonators. Phys Rev Lett 98:157403.
39. Schuller JA, Zia R, Taubner T, Brongersma ML (2007) Dielectric metamaterials based on electric and magnetic resonances of silicon carbide particles. Phys Rev Lett 99:107401.
40. Zhao Q, et al. (2008) Experimental demonstration of isotropic negative permeability in a three-dimensional dielectric composite. Phys Rev Lett 101:027402.
41. Hu XH, Chan CT, Zi J, Li M, Ho KM (2006) Diamagnetic response of metallic photonic crystals at infrared and visible frequencies. Phys Rev Lett 96:223901.
42. Singh R, Smirnova E, Taylor AJ, O'Hara JF, Zhang W (2008) Optically thin terahertz metamaterials. Optics Express 16:6537-6543.
43. Sarychev AK, Tartakovsky G (2007) Magnetic plasmonic metamaterials in actively pumped host medium and plasmonic nanolaser. Phys Rev B 75:085436.
44. Sarychev AK, Shvets G, Shalaev VM (2006) Magnetic plasmon resonance. Phys Rev B 73:036609.
45. Urzhumov YA, Shvets G (2004) Engineering the magnetic properties of periodic nanostructures using electrostatic resonances. Phys Rev Lett 93:243902.
46. Lewin L (1947) The electrical constants of a material loaded with spherical particles. Proc Inst Elec Eng 94:65-68.
47. Bohren CF, Huffman DR (1983) Absorption and Scattering of Light by Small Particles (Wiley, Weinheim), p 82.
48. Johnson PB, Christy RW (1972) Optical constants of the noble metals. Phys Rev B 6:4370-4379.
49. Boström M, Sernelius BE (2000) Commenton "Calculation of the Casimir force between imperfectly conducting plates." Phys Rev A 61:046101.
50. 3 crystals. J Phys 7:L265-L270.
51. Burkhard H, Bauer G, Lopez-Otero A (1976) Far-infrared reflectivity of PbTe films on NaCl substrates. Solid State Commun 18:773-776.
52. 3 determined by reflectance spectroscopy and spectroscopic ellipsometry. J Appl Phys 78:1235-1240.
53. Spitzer WG, Kleinman D, Walsh D (1959) Infrared properties of hexagonal silicon carbide. Phys Rev 113:127-132.
54. Lenham AP, Treherne DM, Metcalfe RJ (1965) Optical properties of antimony and bismuth crystals. J Opt Soc Am 55:1072-1074.
55. Aspnes D, Studna AA (1983) Dielectric functions and optical parameters of Si, Ge, GaP, GaAs, GaSb, InP, InAs, and InSb from 1.5 to 6.0 eV. Phys Rev B 27:985-1009.