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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)
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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 (65) ↓ Similar articles (20)

  1. Pereyra P Physica Status Solidi (b) 259 (3) (2022)
  2. Introduction to Modern Planar Transmission Lines 1 (2021) p. 785
  3. Davidovich M V J. Exp. Theor. Phys. 132 159 (2021)
  4. Davidovich M V Opt. Spectrosc. 128 1379 (2020)
  5. Vetrov S Ya, Timofeev I V, Shabanov V F Phys.-Usp. 63 33 (2020)
  6. Kulikova D P, Dobronosova A A et al Opt. Express 28 32049 (2020)
  7. Yew P, Lee S C et al Optical Materials 96 109320 (2019)
  8. Pankin P S, Vetrov S Y, Timofeev I V J. Opt. 21 035103 (2019)
  9. Rybin M V, Limonov M F Phys.-Usp. 62 823 (2019)
  10. Davidovich M V Phys.-Usp. 62 1173 (2019)
  11. Eremchev I Yu, Eremchev M Yu, Naumov A V Phys.-Usp. 62 294 (2019)
  12. Geints Yu E, Panina E K, Zemlyanov A A Journal Of Quantitative Spectroscopy And Radiative Transfer 236 106595 (2019)
  13. Davidovich M V J. Exp. Theor. Phys. 127 1 (2018)
  14. Barabanenkov Yu N, Barabanenkov M Yu, Nikitov S A J. Phys.: Condens. Matter 30 485801 (2018)
  15. Boginskaya I A, Afanasiev K N et al 2017 Progress In Electromagnetics Research Symposium - Spring (PIERS), (2017) p. 3094
  16. Apresyan L A, Vlasov D V et al Tech. Phys. 62 6 (2017)
  17. Sandu T, Boldeiu G et al 2017 International Semiconductor Conference (CAS), (2017) p. 209
  18. Toptygin I N, Levina K Uspekhi Fizicheskikh Nauk 186 146 (2016)
  19. Averbukh B B, Averbukh I B Russ Phys J 59 736 (2016)
  20. Nechepurenko I A, Dorofeenko A V et al Moscow Univ. Chem. Bull. 70 117 (2015)
  21. Kozik S E, Skoptsov E A et al J Appl Spectrosc 82 409 (2015)
  22. Antipov A A, Arakelyan S M et al Opt. Spectrosc. 119 119 (2015)
  23. Fisanov V V Russ Phys J 57 1336 (2015)
  24. Rukhlenko I D Plasmonics 9 1257 (2014)
  25. Wang X-Zh, Zhao Ya 113 (2) (2013)
  26. Smolyakov A, Fourkal E Phys. Rev. A 87 (1) (2013)
  27. Afanas’ev S A, Sannikov D G, Sementsov D I J. Commun. Technol. Electron. 58 1 (2013)
  28. Barykina E I, Zolotovskii I O, Sementsov D I J. Commun. Technol. Electron. 57 164 (2012)
  29. Altunin K K, Gadomsky O N Optics Communications 285 816 (2012)
  30. Dorofeenko A V, Zyablovsky A A et al Uspekhi Fizicheskikh Nauk 182 1157 (2012)
  31. Novitsky A V, Galynsky V M, Zhukovsky S V Phys. Rev. B 86 (7) (2012)
  32. Shevchenko V V Uspekhi Fizicheskikh Nauk 181 1171 (2011)
  33. Zhang D, Cherkaev E, Lamoureux M P Applied Mathematics And Computation 217 7092 (2011)
  34. Santacruz L A, Solarte E, Garcia H J. Phys.: Conf. Ser. 274 012114 (2011)
  35. Raghunathan Sh B, Budko N V Phys. Rev. B 81 (5) (2010)
  36. Pevtsov A B, Grudinkin S A et al Semiconductors 44 1537 (2010)
  37. Liznev E O, Dorofeenko A V, Vinogradov A P J. Opt. Technol. 77 533 (2010)
  38. Makarov V P, Rukhadze A A, Samokhin A A Plasma Phys. Rep. 36 1129 (2010)
  39. Liznev E O, Dorofeenko A V et al Appl. Phys. A 100 321 (2010)
  40. Gadomsky O N, Altunin K K, Ushakov N M Jetp Lett. 90 251 (2009)
  41. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 401
  42. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009)
  43. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 227
  44. Averkov Yu O, Kats A V, Yakovenko V M Tech. Phys. 54 1245 (2009)
  45. Wallén H, Kettunen H, Sihvola A Metamaterials and Plasmonics: Fundamentals, Modelling, Applications NATO Science For Peace And Security Series B: Physics And Biophysics Chapter 7 (2009) p. 91
  46. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 655
  47. Advances in the Casimir Effect 1 (2009) p. iv
  48. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 513
  49. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 281
  50. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 73
  51. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 103
  52. Advances in the Casimir Effect 1 (2009) p. v
  53. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 625
  54. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 328
  55. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 262
  56. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 682
  57. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 419
  58. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 698
  59. Vinogradov A P, Burokur N, Zouhdi S Eur. Phys. J. Appl. Phys. 46 32604 (2009)
  60. Barabanenkov Yu N Uspekhi Fizicheskikh Nauk 179 534 (2009)
  61. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 136
  62. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 643
  63. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 351
  64. Bordag M, Klimchitskaya G L et al Advances in the Casimir Effect 1 (2009) p. 55
  65. Sambale A, Welsch D-G et al Phys. Rev. A 78 (5) (2008)
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