RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2008

 / 

May

←  →

Methodological notes


On the problem of the effective parameters of metamaterials

 a,  a,  b
a Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
b Laboratoire de Génie Electrique de Paris Supélec-Pierre & Marie Curie University, Paris, France

The mixing formulas for calculating the effective parameters of composite materials with inclusions having a negative permeability or permittivity are analyzed. The problems appearing when various formulas are utilized were outlined, and the computation algorithms yielding physically meaningful solutions were described. The problem of the calculation of a refractive index for media with arbitrary values of permittivity and permeability is discussed.

Fulltext pdf (204 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n05ABEH006533
PACS: 41.20.−q, 78.20.Ci, 81.05.Rm (all)
DOI: 10.1070/PU2008v051n05ABEH006533
URL: https://ufn.ru/en/articles/2008/5/e/
000259376200005
2008PhyU...51..485V
Citation: Vinogradov A P, Dorofeenko A V, Zouhdi S "On the problem of the effective parameters of metamaterials" Phys. Usp. 51 485–492 (2008)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Виноградов А П, Дорофеенко А В, Зухди С «К вопросу об эффективных параметрах метаматериалов» УФН 178 511–518 (2008); DOI: 10.3367/UFNr.0178.200805e.0511

References (71) ↓ Cited by (60) Similar articles (20)

  1. Veselago V G Usp. Fiz. Nauk 92 517 (1967); Veselago V G Sov. Phys. Usp. 10 509 (1968)
  2. Pendry J B Phys. Rev. Lett. 85 3966 (2000)
  3. Priou A, Sihvola A, Tretyakov S, Vinogradov A (Eds) Advances In Complex Electromagnetic Materials (NATO ASI Series, 3: High Technology, Vol. 28) (Dordrecht: Kluwer Acad., 1997)
  4. Zouhdi S, Sihvola A, Arsalane M (Eds) Advances In Electromagnetics Of Complex Media And Metamaterials (NATO Science Series. Ser. II: Mathematics, Physics, and Chemistry, Vol. 89) (Dordrecht: Kluwer Acad. Publ., 2002)
  5. "Metamaterials Publications" meta-materials.mit.edu/metamaterials/papers/papers.html
  6. "Professor Sir John Pendry" www3.imperial.ac.uk/people/j.pendry/
  7. "Issledovano v Rossiii. Investigated in Russia" www.jinr.ru/invest_in_Russia.html
  8. Bliokh K Yu, Bliokh Yu P Usp. Fiz. Nauk 174 439 (2004); Bliokh K Yu, Bliokh Yu P Phys. Usp. 47 393 (2004)
  9. Agranovich V M, Gartshtein Yu N Usp. Fiz. Nauk 176 1051 (2006); Agranovich V M, Gartstein Yu N Phys. Usp. 49 1029 (2006)
  10. Shevchenko V V Usp. Fiz. Nauk 177 301 (2007); Shevchenko V V Phys. Usp. 50 287 (2007)
  11. Lindell I V et al. Electromagnetic Waves In Chiral And Bi-Isotropic Media (Boston: Artech House, 1994)
  12. Kostin M V, Shevchenko V V, in Proc. Of Bianisotropics’93, Gomel, Belarus, 1993 (Eds A Sihvola, S Tretyakov, I Semchenco) (Helsinki: Univ. of Technology, 1993) p. 22
  13. Kostin M V, Shevchenko V V, in Proc. Of 3rd Intern. Workshop On Chiral, Bi-isotropic And Bianisotropic Media (Eds F Mariotte, J-P Parneix) (France: Perigueux, 1994) p. 49
  14. Shevchenko V V, in Proc. Of 4th Intern. Conf. On Chiral, Bi-Isotropic And Bianisotropic Media (Eds A Sihvola et al.) (State College: The Pennsylvania State Univ., 1995) p. 42
  15. Kostin M V, Shevchenko V V, in Proc. Of 4th Intern. Conf. On Chiral, Bi-Isotropic And Bianisotropic Media (Eds A Sihvola et al.) (State College: The Pennsylvania State Univ., 1995) p. 64
  16. Vinogradov A P, Romanenko V E, in Proc. Of 4th Intern. Conf. On Chiral, Bi-Isotropic, And Bianisotropic Media (Eds A Sihvola et al.) (State College: The Pennsylvania State Univ., 1995) p. 143
  17. Pendry J B et al. IEEE Trans. Micr. Theory Tech. 47 2075 (1999)
  18. Shchelkunov S A, Friis G T Antenny (Teoriya i Praktika) (M.: Sov. radio, 1955)
  19. Lagarkov A N, Sarychev A K, Smychkovich Y R, Vinogradov A P J. Electromagn. Waves Appl. 6 1159 (1992)
  20. Serdyukov A N et al. Electromagnetics Of Bi-Anisotropic Materials : Theory And Applications (Amsterdam: Gordon and Breach Sci. Publ., 2001)
  21. Smith D R et al. Phys. Rev. B 65 195104 (2002)
  22. Levin L Teoriya Volnovodov (M.: Radio i svyaz’, 1981)
  23. Vinogradov A P Elektrodinamika Kompozitnykh Materialov (M.: URSS, 2001)
  24. Born M, Wolf E Principles Of Optics (Oxford: Pergamon Press, 1969); Born M, Vol’f E Osnovy Optiki (M.: Nauka, 1973)
  25. Vaganov R B, Katsenelenbaum B Z Osnovy Teorii Difraktsii (M.: Nauka, 1982)
  26. Pokrovsky A L, Efros A L Solid State Commun. 125 283 (2002)
  27. Tayeb G, Petit R Opt. Acta 31 1361 (1984)
  28. Shevchenko V V Radiotekhnika Elektronika 48 1202 (2003); Shevchenko V V J. Commun. Technol. Electron. 48 1102 (2003)
  29. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1992); Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  30. Landauer R AIP Conf. Proc. 40 2 (1978)
  31. Sanchez-Palencia E Non-Homogeneous Media And Vibration Theory (Berlin: Springer-Verlag, 1980); Sanches-Palensiya E Neodnorodnye Sredy i Teoriya Kolebanii (M.: Mir, 1984)
  32. Zhikov V V, Kozlov S M, Oleinik O A Usrednenie Differentsial’nykh Operatorov (M.: Fizmatlit, 1993)
  33. Dykhne A M Zh. Eksp. Teor. Fiz. 59 110 (1970); Dykhne A M Sov. Phys. JETP 32 63 (1971)
  34. Garnett J C M Philos. Trans. R. Soc. London 203 385 (1904)
  35. Garnett J C M Philos. Trans. R. Soc. London 205 237 (1906)
  36. Clausius R Mechanishe Warmetheorie Vol. 2 (Braunschweig: F. Vieweg, 1878) p. 62
  37. Mossotti O F Mem. Soc. Sci. Modena 14 49 (1850)
  38. Lorenz H A Wiedem. Ann. 9 641 (1880)
  39. Lorentz L Wiedem. Ann. 11 10 (1881)
  40. Herring C J. Appl. Phys. 31 1939 (1960)
  41. Vinogradov A P, Karimov A M, Sarychev A K Zh. Eksp. Teor. Fiz. 94 301 (1988); Vinogradov A P, Karimov A M, Sarychev A K Sov. Phys. JETP 67 212 (1988)
  42. Odelevskii V I Zh. Tekh. Fiz. 21 667 (1951)
  43. Odelevskii V I Zh. Tekh. Fiz. 21 678 (1951)
  44. Odelevskii V I Zh. Tekh. Fiz. 21 1379 (1951)
  45. Brown W F Handbuch Der Physik Vol. XVII (Ed. S Flügge) (Berlin: Springer-Verlag, 1956) p. 1; Braun V Dielektriki (M.: IL, 1961)
  46. Bruggeman D A G Ann. Phys. (Leipzig) 24 636 (1935)
  47. Sarychev A K, Vinogradov A P Phys. Status Solidi B 117 K113 (1983)
  48. Hui P M, Stroud D Phys. Rev. B 33 2163 (1986)
  49. Lagarkov A N, Sarychev A K Phys. Rev. B 53 6318 (1996)
  50. von Hippel A R Dielectrics And Waves (New York: Wiley, 1954); fon Khippel’ A R Dielektriki i Volny (M.: IL, 1960)
  51. Lichtenecker K, Kother Z. Phys. 32 255 (1931)
  52. Wagner K W Arch. Electrochem. 2 371 (1914)
  53. Sheng P Phys. Rev. Lett. 25 60 (1980)
  54. Niklasson G A, Granqvist C G J. Appl. Phys. 55 3382 (1984)
  55. Brouers F J. Phys. C: Solid State Phys. 19 7183 (1986)
  56. Gibson U J, Buhrman R A Phys. Rev. B 27 5046 (1983)
  57. Granovsky A, Kuzmichev M, Clerc J P J. Magn. Soc. Jpn 23 382 (1999)
  58. Lagarkov A N, Kissel V N Phys. Rev. Lett. 92 077401 (2004)
  59. Simovskii K R Radiotekhnika Elektronika 52 1031 (2007); Simovski C R J. Commun. Technol. Electron. 52 953 (2007)
  60. Vinogradov A P, Aivaziyan A V Phys. Rev. E 60 987 (1999)
  61. Vinogradov A P, Merzlikin A M Zh. Eksp. Teor. Fiz. 121 565 (2002); Vinogradov A P, Merzlikin A V JETP 94 482 (2002)
  62. Bergman D G Phys. Rep. 43 377 (1978)
  63. Lozovik Yu E, Klyuchnik A V, in The Dielectric Function Of Condensed Systems (Eds L V Keldysh, D A Kirzhnitz, A A Maradudin) (Amsterdam: Elsevier, 1987) p. 300
  64. Vinogradov A P, Panina L V, Sarychev A K Dokl. Akad. Nauk SSSR 306 847 (1989); Vinogradov A P, Panina L V, Sarychev A K Sov. Phys. Dokl. 34 530 (1989)
  65. Hui P M, Stroud D Phys. Rev. B 33 2163 (1986)
  66. Granek R, Abraham Nitzan J. Chem. Phys. 90 3784 (1989)
  67. Poincare H Acta Math. XXVI 43 (1902)
  68. Osgood W F Topics In The Theory Of Functions Of Several Complex Variables (New York: Dover Publ., 1966)
  69. Sivukhin D V Optika Spektroskopiya 3 308 (1957)
  70. Vainshtein L A Elektromagnitnye Volny (M.: Radio i svyaz’, 1988)
  71. Brillouin L Wave Propagation And Group Velocity (New York: Academic Press, 1960)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions