Issues

 / 

2010

 / 

March

  

Reviews of topical problems


Surface states in photonic crystals

 a,  a,  a,  b
a Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
b Department of Physics, Queens College of the City University of New York, Flushing, New York, USA

Propagation of surface electromagnetic waves along photonic crystal (PC) boundaries is examined. It is shown that in a number of cases these waves are backward. The nature of the surface electromagnetic states, localized at the PC boundary, is discussed; these states transfer no energy along the boundary (their tangential wave number is zero). An analogy with the well-known Tamm and Shockley surface states in solid state physics is drawn. It is shown that in the case of PC both types of states can be considered as the Tamm ones. Experimental results on the observation of the surface states are presented. A system using an external magnetic field to control a surface state is considered.

Fulltext pdf (682 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0180.201003b.0249
PACS: 41.20.Jb, 42.70.Qs, 73.20.−r (all)
DOI: 10.3367/UFNe.0180.201003b.0249
URL: https://ufn.ru/en/articles/2010/3/b/
000280435100002
2-s2.0-77954801596
2010PhyU...53..243V
Citation: Vinogradov A P, Dorofeenko A V, Merzlikin A M, Lisyansky A A "Surface states in photonic crystals" Phys. Usp. 53 243–256 (2010)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Виноградов А П, Дорофеенко А В, Мерзликин А М, Лисянский А А «Поверхностные состояния в фотонных кристаллах» УФН 180 249–263 (2010); DOI: 10.3367/UFNr.0180.201003b.0249

References (85) ↓ Cited by (132) Similar articles (20)

  1. Joannopoulos J D, Meade R D, Winn J N Photonic Crystals: Molding The Flow Of Light (Princeton, NJ: Princeton Univ. Press, 1995)
  2. Johnson S G, Joannopoulos J D Photonic Crystals: The Road From Theory To Practice (Boston: Kluwer Acad. Publ., 2002)
  3. Sakoda K Optical Properties Of Photonic Crystals (Berlin: Springer, 2001)
  4. Silin R A Neobychnye Zakony Prelomleniya i Otrazheniya (M.: FAZIS, 1999)
  5. Luo C et al. Phys. Rev. B 65 201104(R) (2002)
  6. Russell P St J, Birks T A Photonic Band Gap Materials (Ed. C M Soukoulis) (Dordrecht: Kluwer Acad. Publ., 1996) p. 71
  7. Kosaka H et al. Phys. Rev. B 58 R10096 (1998)
  8. Baba T, Matsumoto T Appl. Phys. Lett. 81 2325 (2002)
  9. Merzlikin A M, Vinogradov A P Opt. Commun. 259 700 (2006)
  10. Belov P A, Simovski C R, Ikonen P Phys. Rev. B 71 193105 (2005)
  11. Chuprunov E V, Khokhlov A F, Faddeev M A Osnovy Kristallografii (M.: Fizmatlit, 2004)
  12. Batterman B W, Cole H Rev. Mod. Phys. 36 681 (1964)
  13. Zhang Z, Satpathy S Phys. Rev. Lett. 65 2650 (1990)
  14. Tikhodeev S G et al. Phys. Rev. B 66 045102 (2002)
  15. John S Phys. Rev. Lett. 58 2486 (1987)
  16. Berry M V, Popescu S J. Phys. A Mat. Gen. 39 6965 (2006)
  17. Berry M V J. Phys. A Mat. Gen. 27 L391 (1994)
  18. Kempf A, Ferreira P J S G J. Phys. A Mat. Gen. 37 12067 (2004)
  19. Ferreira P J S G, Kempf A IEEE Trans. Signal Process. 54 3732 (2006)
  20. Tamm I Z. Phys. 76 849 (1932)
  21. Shockley W Phys. Rev. 56 317 (1939)
  22. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982); Landau L D, Lifshitz E M Electrodynamics Of Continuaus Media (Oxford: Pergamon Press, 1984)
  23. Kłos J Phys. Rev. B 76 165125 (2007)
  24. Malkova N, Ning C Z Phys. Rev. B 73 113113 (2006)
  25. Malkova N, Ning C Z Phys. Rev. B 76 045305 (2007)
  26. Agranovich V M, Mills D L (Eds) Surface Polaritons: Electromagnetic Waves At Surfaces And Interfaces (Amsterdam: North-Holland, 1982); Agranovich V M, Mills D L (Red.) Poverkhnostnye Polyaritony: Elektromagnitnye Volny na Poverkhnostyakh i Granitsakh Razdela Sred (M.: Nauka, 1985)
  27. Dmitruk N L, Litovchenko V G, Strizhevskii V L Poverkhnostnye Polyaritony v Poluprovodnikakh i Dielektrikakh (Kiev: Naukova dumka, 1989)
  28. Alu A, Engheta N IEEE Trans. Antennas Propag. 51 2558 (2003)
  29. Zouhdi S et al. Phys. Rev. B 75 035125 (2007)
  30. Vainshtein L A Elektromagnitnye Volny 2-e izd. (M.: Radio i svyaz’, 1988)
  31. Yariv A, Yeh P Optical Waves In Crystals (New York: Wiley, 1984); Yariv A, Yukh P Opticheskie Volny v Kristallakh (M.: Mir, 1987)
  32. Brekhovskikh L M Volny v Sloistykh Sredakh (M.: Izd-vo AN SSSR, 1957); Brekhovskikh L M Waves In Layered Media (New York: Academic Press, 1960)
  33. Rytov S M Zh. Eksp. Teor. Fiz. 29 606 (1955); Rytov S M Sov. Phys. JETP 2 466 (1956)
  34. Bass F G, Bulgakov A A, Tetervov A P Vysokochastotnye Svoistva Poluprovodnikov so Sverkhreshetkami (M.: Nauka, 1989)
  35. Kronig R, Penney W G Proc. R. Soc. London A 130 499 (1931)
  36. Vinogradov A P et al. Phys. Rev. B 74 045128 (2006)
  37. Namdar A, Shadrivov I V, Kivshar Yu S Appl. Phys. Lett. 89 114104 (2006)
  38. Barvestani J et al. Phys. Rev. A 77 013805 (2008)
  39. Namdar A, Shadrivov I V, Kivshar Yu S Phys. Rev. A 75 053812 (2007)
  40. Bass F G, Tetervov A P Phys. Rep. 140 237 (1986)
  41. Kaliteevski M et al. Phys. Rev. B 76 165415 (2007)
  42. Tamm I Phys. Z. Sowjetunion 1 733 (1932)
  43. Lifshits I M, Pekar S I Usp. Fiz. Nauk 56 531 (1955)
  44. Goto T et al. Phys. Rev. Lett. 101 113902 (2008)
  45. Kavokin A, Shelykh I, Malpuech G Appl. Phys. Lett. 87 261105 (2005)
  46. Kavokin A V, Shelykh I A, Malpuech G Phys. Rev. B 72 233102 (2005)
  47. Villa F, Gaspar-Armenta J A Opt. Commun. 223 109 (2003)
  48. Villa F, Gaspar-Armenta J Opt. Express 12 2338 (2004)
  49. Ji-Yong Guo et al. Chin. Phys. Lett. 25 2093 (2008)
  50. Brand S, Kaliteevski M A, Abram R A Phys. Rev. B 79 085416 (2009)
  51. Bulgakov A A, Meriuts A V, Ol’khovskii E A Zh. Tekh. Fiz. 74 (10) 103 (2004); Bulgakov A A, Meriutz A V, Ol’khovskii E A Tech. Phys. 49 1349 (2004)
  52. Zvezdin A K, Kotov V A Magnitooptika Tonkikh Plenok (M.: Nauka, 1988)
  53. Inoue M et al. J. Appl. Phys. 83 6768 (1998)
  54. Steel M J, Levy M, Osgood R M (Jr.) J. Lightwave Technol. 18 1297 (2000)
  55. Goodwin E T Proc. Camb. Philos. Soc. 35 205 (1939); Goodwin E T Proc. Camb. Philos. Soc. 35 221 (1939); Goodwin E T Proc. Camb. Philos. Soc. 35 232 (1939)
  56. Maue A-W Z. Phys. 94 717 (1935)
  57. Rijanow S Z. Phys. 89 806 (1934)
  58. Sokolow A Z. Phys. 90 520 (1934)
  59. Sokolov A A Zh. Eksp. Teor. Fiz. 6 807 (1936)
  60. Tsenter E M Zh. Eksp. Teor. Fiz. 8 682 (1938)
  61. Levine J D Phys. Rev. 171 701 (1968)
  62. Davison S G, Levine J D "Surface states" Solid State Physics Vol. 25 (Eds H Ehrenreich, F Seitz, D Turnbull) (New York: Academic Press, 1970); Devison S, Levin Dzh Poverkhnostnye (tammovskie) Sostoyaniya (M.: Mir, 1973)
  63. Zak J Phys. Rev. B 32 2218 (1985)
  64. Green M (Ed.) Solid State Surface Science Vol. 1 (New York: M. Dekker, 1969); Grin M (Red.) Poverkhnostnye Svoistva Tverdykh Tel (M.: Mir, 1972)
  65. Belen’kii A Ya Usp. Fiz. Nauk 134 125 (1981); Belen’kii A Ya Sov. Phys. Usp. 24 412 (1981)
  66. Allen G Phys. Rev. 91 531 (1953)
  67. Leyva M D, Gondar J L Phys. Status Solidi B 128 575 (1985)
  68. Milanović V, Tjapkin D Phys. Status Solidi B 110 687 (1982)
  69. Nusinsky I, Hardy A A Phys. Rev. B 73 125104 (2006)
  70. Vinogradov A P, Merzlikin A M Physica B 338 126 (2003)
  71. Foo E-N, Wong H-S Phys. Rev. B 9 1857 (1974)
  72. Kłos J, Puszkarski H Phys. Rev. B 68 045316 (2003)
  73. Foo E-N, Wong H S Phys. Rev. B 10 4819 (1974)
  74. Stçślicka M et al. Surf. Sci. Rep. 47 93 (2002)
  75. Zengerle R J. Mod. Opt. 34 1589 (1987)
  76. Merzlikin A M et al. J. Magn. Magn. Mater. 300 108 (2006)
  77. Merzliin A M et al. Physica B 394 277 (2007)
  78. Levy M, Jalali A A J. Opt. Soc. Am. B 24 1603 (2007)
  79. Jalali A A, Levy M J. Opt. Soc. Am. B 25 119 (2008)
  80. Wang F, Lakhtakia A Appl. Phys. Lett. 92 011115 (2008)
  81. Šolc I Czech. J. Phys. 4 53 (1954); Šolc I Czech. J. Phys. 4 65 (1954)
  82. Yeh P J. Opt. Soc. Am. 69 742 (1979)
  83. Cojocaru E Appl. Opt. 39 4641 (2000)
  84. Shabtay G et al. Opt. Express 10 1534 (2002)
  85. Merzlikin A M et al. Phys. Rev. B 79 195103 (2009)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions