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Localization of a stationary electromagnetic field by a planar boundary of a metamaterial


Institute of Radio Engineering and Electronics, Russian Academy of Sciences, ul. Mokhovaya 11, Moscow, 125009, Russian Federation

Methods and results of research on the focusing properties of planar boundaries of some metamaterials modeled by a negative electromagnetic medium (i.e., one with both a negative permittivity and a negative permeability) are presented. The properties of flat focusing lenses made of isotropic, anisotropic, or chiral negative media are described in terms of ray theory. The wave theory of an isotropic flat negative-material lens is developed, which shows that such a lens allows localizing a stationary electromagnetic field, in principle, onto an area of the effective linear size either larger or smaller (or even much smaller) than the radiation wavelength in a homogeneous medium at some distance from the source.

Fulltext is available at IOP
PACS: 42.15.−i, 42.30.−d, 78.67.Pt (all)
DOI: 10.3367/UFNe.0181.201111c.1171
URL: https://ufn.ru/en/articles/2011/11/c/
Citation: Shevchenko V V "Localization of a stationary electromagnetic field by a planar boundary of a metamaterial" Phys. Usp. 54 1131–1142 (2011)
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Received: 8th, October 2010, revised: 25th, March 2011, 28th, March 2011

Оригинал: Шевченко В В «Локализация стационарного электромагнитного поля при помощи плоской границы метаматериала» УФН 181 1171–1182 (2011); DOI: 10.3367/UFNr.0181.201111c.1171

References (76) ↓ Cited by (9) Similar articles (20)

  1. Veselago V G Usp. Fiz. Nauk 92 517 (1967); Veselago V G Sov. Phys. Usp. 10 509 (1968)
  2. Silin R A Optika Spektroskopiya 44 189 (1978); Silin R A Opt. Spectrosc. 44 109 (1978)
  3. Caloz C, Itoh T Electromagnetic Metamaterials: Transmission Line Theory And Microwave Applications (Hoboken, N.J.: John Wiley and Sons, 2006)
  4. Sihvola A Metamaterials 1 2 (2007)
  5. Vinogradov A P, Nikitov S A Radiotekhnika Elektronika 52 1029 (2007); Vinogradov A P, Nikitov S A J. Commun. Technol. Electron. 52 951 (2007)
  6. Gulyaev Yu V, Lagar’kov A N, Nikitov S A Vestnik RAN 78 438 (2008); Gulyaev Yu V, Lagar’kov A N, Nikitov S A Herald Russ. Acad. Sci. 78 268 (2008)
  7. Marqués R, Martin F, Sorolla M Metamaterials With Negative Parameters: Theory, Design, And Microwave Applications (Hoboken, N.J.: Wiley-Intersci., 2008)
  8. Solymar L, Shamonina E Waves In Metamaterials (Oxford: Oxford Univ. Press, 2009)
  9. Mandel’shtam L I Polnoe Sobranie Trudov Vol. 2 (Pod red. S M Rytova) (M.: Izd-vo AN SSSR, 1947) p. 334
  10. Mandel’shtam L I Polnoe Sobranie Trudov Vol. 5 (Pod red. S M Rytova) (M.: Izd-vo AN SSSR, 1950) p. 461
  11. Mandel’shtam L I Lektsii Po Optike, Teorii Otnositel’nosti i Kvantovoi Mekhanike (M.: Nauka, 1972) p. 392, 431
  12. Sivukhin D V Optika Spektroskopiya 3 308 (1957)
  13. Pafomov V E Zh. Eksp. Teor. Fiz. 36 1853 (1959); Pafomov V E Sov. Phys. JETP 9 1321 (1959)
  14. Silin R A, Sazonov V P Zamedlyayushchie Sistemy (M.: Sov. radio, 1966)
  15. Silin R A Neobychnye Zakony Prelomleniya i Otrazheniya (M.: FAZIS, 1999)
  16. Silin R A Periodicheskie Volnovody (M.: FAZIS, 2002)
  17. Silin R A Radiotekhnika Elektronika 47 186 (2002); Silin R A J. Commun. Technol. Electron. 47 169 (2002)
  18. Silin R A Usp. Fiz. Nauk 176 562 (2006); Silin R A Phys. Usp. 49 542 (2006)
  19. Shevchenko V V Radiotekhnika Elektronika 48 1202 (2003); Shevchenko V V J. Commun. Technol. Electron. 48 1102 (2003)
  20. Byrdin V M Radiotekhnika Elektronika 50 1413 (2005); Byrdin V M J. Commun. Technol. Electron. 50 1307 (2005)
  21. Shevchenko V V Usp. Fiz. Nauk 177 301 (2007); Shevchenko V V Phys. Usp. 50 287 (2007)
  22. Lindell I V et al. Electromagnetic Waves In Chiral And Bi-isotropic Media (Boston: Artech House, 1994)
  23. Shevchenko V V Sorosovsk. Obrazovat. Zhurn. (2) 109 (1998)
  24. Kostin M V, Shevchenko V V 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
  25. Kostin M V, Shevchenko V V Advances In Complex Electromagnetic Materials (NATO ASI Series, Partnership Sub-series 3) Vol. 28 (Eds A Priou et al.) (Dordtecht: Kluwer Acad. Publ., 1997) p. 261
  26. Kostin M V, Shevchenko V V Proc. Of Bianisotropics’97: Intern. Conf. And Workshop On Electromagnetics Of Complex Media, Great Britain, 5 - 7 June 1997 (Eds W S Weiglhofer) (Glasgow, Scotland: The Department, 1997) p. 249
  27. Kostin M V, Shevchenko V V Radiotekhnika Elektronika 43 921 (1998); Shevchenko V V J. Commun. Technol. Electron. 43 858 (1998)
  28. Kostin M V, Shevchenko V V Bianisotropics’98: Proc. Of 7th Intern. Conf. On Complex Media, Braunschweig, Germany, 1998 (Eds A F Jacob, J Reinert) (Braunschweig: Techn. Univ., 1998) p. 277
  29. Vinogradov A P, Dorofeenko A V Opt. Commun. 256 333 (2005)
  30. Vinogradov A P, Dorofeenko A V, Zukhdi S Usp. Fiz. Nauk 178 511 (2008); Vinogradov A P, Dorofeenko A V, Zouhdi S Phys. Usp. 51 485 (2008)
  31. Shevchenko V V Radiotekhnika Elektronika 54 696 (2009); Shevchenko V V J. Commun. Technol. Electron. 54 662 (2009)
  32. Pendry J B et al. IEEE Trans. Microwave Theory Tech. 47 2075 (1999)
  33. Smith D R et al. Phys. Rev. Lett. 84 4184 (2000)
  34. Silin R A, Chepurnykh I P Radiotekhnika Elektronika 46 1212 (2001); Silin R A, Chepurnykh I P J. Commun. Technol. Electron. 46 1121 (2001)
  35. Shelby R A, Smith D R, Schultz S Science 292 77 (2001)
  36. Parkhomenko M P, Silin R A, Chepurnykh I P Radiotekhnika Elektronika 49 624 (2004); Parkhomenko M P, Silin R A, Chepurnykh I P J. Commun. Technol. Electron. 49 585 (2004)
  37. Smith D R, Pendry J B, Wiltshire M C K Science 305 788 (2004)
  38. Lagarkov A N, Kissel V N Phys. Rev. Lett. 92 077401 (2004)
  39. Lagar’kov A N, Kisel’ V N Dokl. Ross. Akad. Nauk 394 40 (2004); Lagarkov A N, Kisel’ V N Dokl. Phys. 49 5 (2004)
  40. Kisel’ V N, Lagar’kov A N Radiotekhnika Elektronika 54 531 (2009); Kisel’ V N, Lagar’kov A N J. Comm. Techol. Electron. 54 506 (2009)
  41. Lagar’kov A N i dr. Usp. Fiz. Nauk 179 1018 (2009); Lagarkov A N et al. Phys. Usp. 52 959 (2009)
  42. Shevchenko V V Radiotekhnika Elektronika 49 683 (2004); Shevchenko V V J. Comm. Techol. Electron. 49 639 (2004)
  43. Shevchenko V V Radiotekhnika Elektronika 49 1048 (2004); Shevchenko V V J. Comm. Techol. Electron. 49 981 (2004)
  44. Landau L D, Lifshits E M, Pitaevskii L P Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982); Landau L D, Lifshitz E M, Pitaevskii L P Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  45. Fedorov F I, Filippov V V Otrazhenie i Prelomlenie Sveta Prozrachnymi Kristallami (Minsk: Nauka i tekhnika, 1976)
  46. Fedorov F I Optika Anizotropnykh Sred (M.: URSS, 2004)
  47. Fedorov F I Teoriya Girotropii (Minsk: Nauka i tekhnika, 1976)
  48. Turov E A Material’nye Uravneniya Elektrodinamiki (M.: Nauka, 1983)
  49. Holliger R, Varadan V V, Varadan V K Radio Sci. 26 1150 (1991)
  50. Kluskens M S, Newman E H IEEE Trans. Microwave Theory Tech. 39 1889 (1991)
  51. Shevchenko V V Telecommun. Radio Eng. 48 120 (1993)
  52. Shevchenko V V Radiotekh. (2) 80 (1994)
  53. Shevchenko V V Plavnye Perekhody v Otkrytykh Volnovodakh. Vvedenie v Teoriyu (M.: Nauka, 1969); Shevchenko V V Continuous Transitions In Open Waveguides; Introduction To The Theory (Boulder, Colo.: Golem Press, 1971)
  54. Shevchenko V V "Metod spektral’nogo razlozheniya polei v teorii otkrytykh volnovodov" Diss. ... d-ra fiz.-mat. nauk (M.: In-t radiotekhniki i elektroniki AN SSSR, 1976)
  55. Shevchenko V V Differentsial’nye Uravneniya 15 2004 (1979); Shevchenko V V Different. Equat. 15 1431 (1980)
  56. Katsenelenbaum B Z Vysokochastotnaya Elektrodinamika (M.: Nauka, 1966); Katsenelenbaum B Z High-frequency Electrodynamics (Weinheim: Wiley-VCH, 2006)
  57. Vaganov R B, Katsenelenbaum B Z Osnovy Teorii Difraktsii (M.: Nauka, 1982)
  58. Markov G T, Chaplin A F Vozbuzhdenie Elektromagnitnykh Voln (M. - L.: Energiya, 1967)
  59. Felsen L B, Marcuvitz N Radiation And Scattering Of Waves (Englewood Cliffs, N.J.: Prentice-Hall, 1973); Felsen L, Markuvits N Izluchenie i Rasseyanie Voln Vol. 1, 2 (M.: Mir, 1978)
  60. Shevchenko V V Radiotekhnika Elektronika 53 1121 (2008); Shevchenko V V J. Commun. Technol. Electron 53 1060 (2008)
  61. Pendry J B Phys. Rev. Lett. 85 3966 (2000)
  62. Shatrov A D Radiotekhnika Elektronika 52 909 (2007); Shatrov A D J. Commun. Technol. Electron 52 842 (2007)
  63. Shatrov A D Radiotekhnika Elektronika 52 1430 (2007); Shatrov A D J. Commun. Technol. Electron 52 1324 (2007)
  64. Shevchenko V V Zhurn. Radioelektroniki (6) (2007); Shevchenko V V http://jre.cplire.ru/jre/jun07/5/text.html
  65. Bankov S E Elektromagnitnye Kristally (M.: Fizmatlit, 2010)
  66. Petrin A B Pis’ma ZhETF 87 550 (2008); Petrin A B JETP Lett. 87 464 (2008)
  67. Petrin A B Zh. Eksp. Teor. Fiz. 134 436 (2008); Petrin A B JETP 107 364 (2008)
  68. Grachev G G, Shevchenko V V Radiotekhnika Elektronika 55 432 (2010); Grachev G G, Shevchenko V V J. Commun. Technol. Electron. 55 403 (2010)
  69. Shevchenko V V Radiotekhnika Elektronika 50 1363 (2005); Shevchenko V V J. Commun. Technol. Electron. 50 1260 (2005)
  70. Shevchenko V V Radiotekhnika Elektronika 55 1052 (2010); Shevchenko V V J. Commun. Technol. Electron. 55 986 (2010)
  71. Deschamps G A, Mast P E Proc. of Symp. on Quasi-Optics, New York, USA, 1964 (Microwave Research Institute Sympo. Ser.) Vol. 14 (Ed. J Fox) (Brooklyn: Polytechnic Press, 1964) p. 177; Deshan Zh, Mast P Kvazioptika (Pod. red. B Z Katsenelenbauma, V V Shevchenko) (M.: Mir, 1966) p. 189
  72. Marcuse D Light Transmission Optics (New York: Van Nostrand Reinhold, 1972); Markuze D Opticheskie Volnovody (M.: Mir, 1974)
  73. Shevchenko V V Radiotekhnika Elektronika 40 1777 (1995)
  74. Shevchenko V V 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
  75. Shevchenko V V Radiotekhnika Elektronika 43 1090 (1998); Shevchenko V V J. Commun. Technol. Electron. 43 1014 (1998)
  76. Shevchenko V V Bianisotropics’98: Proc. of 7th Intern. Conf. on Complex Media, Braunschweig, Germany, 1998 (Eds A F Jacob, J Reinert) (Braunschweig: Techn. Univ., 1998) p. 279

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