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Spatial dispersion and negative refraction of light

 a,  b
a Institute of Spectroscopy, Russian Academy of Sciences, ul. Fizicheskaya 5, Troitsk, Moscow, 108840, Russian Federation
b Department of Physics, The University of Texas at Dallas, Richardson, Texas, USA

Negative refraction at the interface between two media occurs as a natural consequence of wave group velocity being negative in one of the media. In this review the historical origins of this understanding are briefly described. A number of systems supporting normal electromagnetic waves (polaritons) with negative group velocity at optical frequencies are analyzed by including spatial dispersion and making use of the generalized dielectric tensor εij(ω, k), which determines the response of a medium to an electromagnetic wave of frequency ω and wave vector k. Negative group velocity polaritons occur when the medium (whether a natural one or an artificial meta-material) has a sufficiently strong spatial dispersion. Examples of bulk waves and surface waves are given both for chiral and nonchiral systems. The relationship between the εij(ω, k) approach and the more common but less comprehensive description using the dielectric permittivity ε(ω) and magnetic permeability μ(ω) is discussed.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 42.25-p, 71.36+c, 78.20.Ci
DOI: 10.1070/PU2006v049n10ABEH006067
URL: https://ufn.ru/en/articles/2006/10/c/
Citation: Agranovich V M, Gartstein Yu N "Spatial dispersion and negative refraction of light" Phys. Usp. 49 1029–1044 (2006)
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Оригинал: Агранович В М, Гартштейн Ю Н «Пространственная дисперсия и отрицательное преломление света» УФН 176 1051–1068 (2006); DOI: 10.3367/UFNr.0176.200610c.1051

References (64) Cited by (182) ↓

  1. Makarov V P, Rukhadze A A Uspekhi Fizicheskikh Nauk 189 (05) (2019)
  2. Pazynin L A, Pazynin V L, Sliusarenko H O Opt. Lett. 44 1125 (2019)
  3. Apostolov S S, Maizelis Z A et al Low Temperature Physics 45 885 (2019)
  4. Gratus J, Kinsler P, McCall M W Eur. J. Phys. 40 025203 (2019)
  5. Juárez-Reyes L, Mochán W L Phys. Status Solidi B 255 1700495 (2018)
  6. McGurn A Springer Series In Optical Sciences Vol. Nanophotonics213 Chapter 1 (2018) p. 1
  7. Amirkhizi A V, Alizadeh V Wave Motion 83 214 (2018)
  8. Chipouline A, Küppers F Springer Series In Optical Sciences Vol. Optical Metamaterials: Qualitative Models211 Chapter 1 (2018) p. 1
  9. Butko L N, Anzulevich A P et al J. Phys.: Conf. Ser. 1092 012016 (2018)
  10. Popov A, Myslivets S et al Photonics 5 8 (2018)
  11. Paśko W, Tralle I et al J Mater Sci 53 2034 (2018)
  12. Prishchenko D A, Mazurenko V G et al Phys. Rev. B 98 (20) (2018)
  13. Barois P, Ponsinet V et al J. Phys.: Conf. Ser. 963 012007 (2018)
  14. McGurn A Springer Series In Optical Sciences Vol. Nanophotonics213 Chapter 5 (2018) p. 305
  15. Davidovich M V J. Exp. Theor. Phys. 127 1 (2018)
  16. Davidovich M V Jetp Lett. 108 279 (2018)
  17. Ponsinet V, Baron A et al EPL 119 14004 (2017)
  18. Fisanov V V Russ Phys J 59 1395 (2017)
  19. Gorelik V S, Voinov Yu P et al J. Synch. Investig. 11 246 (2017)
  20. Forcella D, Prada C, Carminati R Phys. Rev. Lett. 118 (13) (2017)
  21. Gorelik V S, Bi D, Fei G T J. Adv. Dielect. 07 1750038 (2017)
  22. Apostolov S S, Havrilenko V I et al Low Temp. Phys. 43 296 (2017)
  23. Popov A K, Nefedov I S, Myslivets S A ACS Photonics 4 1240 (2017)
  24. Sous J, Berciu M, Krems R V Phys. Rev. A 96 (6) (2017)
  25. Chipouline A, Küppers F J. Opt. Soc. Am. B 34 1597 (2017)
  26. Bykov N V, Maimistov A I Bull. Russ. Acad. Sci. Phys. 80 770 (2016)
  27. Rudenko S P, Stetsenko M O et al Opt. Spectrosc. 120 540 (2016)
  28. Maimistov A I, Lyashko E I Opt. Spectrosc. 121 635 (2016)
  29. Jiang Bing-feng, Hou De-fu, Li Jia-rong Phys. Rev. D 94 (7) (2016)
  30. Zhuravlev V M, Zolotovskii I O, Mironov P P Opt. Spectrosc. 121 744 (2016)
  31. Khokhlov Yu K Bull. Lebedev Phys. Inst. 43 49 (2016)
  32. Averbukh B B, Averbukh I B Russ Phys J 58 1760 (2016)
  33. Šindler M, Kadlec C et al Opt. Express 24 18340 (2016)
  34. Markel V A, Tsukerman I Phys. Rev. B 93 (22) (2016)
  35. Toptygin I N, Levina K Uspekhi Fizicheskikh Nauk 186 146 (2016)
  36. (Asia-Pacific Conference on Fundamental Problems of Opto- and Microelectronics) Vol. Asia-Pacific Conference on Fundamental Problems of Opto- and MicroelectronicsFormation of the reflected and refracted s-polarized electromagnetic waves in the Fresnel problem for the boundary vacuum-metamaterial from the viewpoint of molecular opticsYuri N.KulchinRoman V.RomashkoAlexander V.SyuyB. B.AverbukhI. B.Averbukh10176 (2016) p. 101760I
  37. Stetsenko M O, Maksimenko L S et al Nanoscale Res Lett 11 (1) (2016)
  38. Tarasov V E Mod. Phys. Lett. B 30 1650132 (2016)
  39. Gomez-Graña S, Le Beulze A et al Mater. Horiz. 3 596 (2016)
  40. Gorelik V S, Shchavlev V V Bull. Lebedev Phys. Inst. 43 189 (2016)
  41. Maimistov A I, Kazantseva E V Springer Series In Optical Sciences Vol. Contemporary Optoelectronics199 Chapter 11 (2016) p. 181
  42. Bychanok D, Plyushch A et al 2015 IEEE International Conference on Microwaves, Communications, Antennas and Electronic Systems (COMCAS), (2015) p. 1
  43. Huang Y, Chen W Q et al AIP Advances 5 027138 (2015)
  44. Antonets I V, Kotov L N et al J. Commun. Technol. Electron. 60 904 (2015)
  45. Electromagnetic Phenomena in Matter (2015) p. 689
  46. Rai B, McGurn A R Phys. Rev. B 91 (8) (2015)
  47. Porvatkina O V, Tishchenko A A, Strikhanov M N J. Phys.: Conf. Ser. 643 012074 (2015)
  48. Korovai O V Phys. Solid State 57 1456 (2015)
  49. Kazantseva E V, Maimistov A I Quantum Electron. 45 1137 (2015)
  50. Maimistov A I, Gabitov I R, Lyashko E I J. Phys.: Conf. Ser. 613 012012 (2015)
  51. Naimi E K, Vekilov Yu Kh Phys. Solid State 57 111 (2015)
  52. Gorlach M A, Belov P A Phys. Rev. B 92 (8) (2015)
  53. Shafeeque A A K, Nithyanandan K, Porsezian K Physics Letters A 379 223 (2015)
  54. Bychanok D, Plyushch A et al 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2015) p. 43
  55. Bobrov V B, Sokolov I M, Trigger S A Jetp Lett. 101 299 (2015)
  56. Compaijen P J, Malyshev V A, Knoester Ja Opt. Express 23 2280 (2015)
  57. Mahapatra S J. High Energ. Phys. 2015 (1) (2015)
  58. Shevelev M, Konkov A, Aryshev A Phys. Rev. A 92 (5) (2015)
  59. Lu X, Shapiro M A, Temkin R J Phys. Rev. ST Accel. Beams 18 (8) (2015)
  60. Maimistov A I, Lyashko E I Opt. Spectrosc. 118 803 (2015)
  61. Lyashko E I, Maimistov A I Quantum Electron. 45 1050 (2015)
  62. Gubin M Yu, Leksin A Yu et al Opt. Spectrosc. 119 497 (2015)
  63. Tralle I, Ziȩba P, Paśko W Journal Of Applied Physics 115 233509 (2014)
  64. (Photonic and Phononic Properties of Engineered Nanostructures IV) Vol. Photonic and Phononic Properties of Engineered Nanostructures IVTransmission in a 1D split-ring resonator metamaterial containing a nonlinear barrier: soliton modesAliAdibiShawn-YuLinAxelSchererArthur R.McGurn8994 (2014) p. 89941C
  65. Forcella D, Zaanen Ja et al Phys. Rev. B 90 (3) (2014)
  66. Forcella D, Mezzalira A, Musso D J. High Energ. Phys. 2014 (11) (2014)
  67. Gevorgyan A H, Matinyan G K J. Exp. Theor. Phys. 118 771 (2014)
  68. Chern R-L, Han D Opt. Express 22 4817 (2014)
  69. Taya S 22 (4) (2014)
  70. Porvatkina O V, Tishchenko A A, Strikhanov M N J. Phys.: Conf. Ser. 541 012024 (2014)
  71. Fedorov V Yu, Nakajima T J. Opt. 16 035103 (2014)
  72. Antonets I V, Kotov L N et al Tech. Phys. Lett. 40 584 (2014)
  73. Kazantseva E V, Maimistov A I Quantum Electron. 43 807 (2013)
  74. Vendik I B, Vendik O G Tech. Phys. 58 1 (2013)
  75. Wormeester H, Oates T W H Ellipsometry at the Nanoscale Chapter 6 (2013) p. 225
  76. Tarasov V E Physics Of Plasmas 20 102110 (2013)
  77. Liu Ya, Guenneau S, Gralak B Phys. Rev. B 88 (16) (2013)
  78. Naumenko G A, Potylitsyn A P et al Proceedings of the International Conference Days on Diffraction 2013, (2013) p. 105
  79. Kudyshev Zh, Gabitov I, Maimistov A Phys. Rev. A 87 (6) (2013)
  80. Gorelik V S Bull. Lebedev Phys. Inst. 40 150 (2013)
  81. Chern R-L Opt. Express 21 16514 (2013)
  82. Li X, Arnoldus H F Physics Letters A 377 2235 (2013)
  83. Markel V A, Tsukerman I Phys. Rev. B 88 (12) (2013)
  84. Mankov Yu I Phys. Solid State 55 924 (2013)
  85. Liu Ya, Guenneau S, Gralak B Proc. R. Soc. A 469 20130240 (2013)
  86. Alexopoulos A, Yau K S B Physics Letters A 377 1143 (2013)
  87. Dai Zh, Xu Y et al Phys. Rev. A 87 (5) (2013)
  88. Smolyakov A, Fourkal E Phys. Rev. A 87 (1) (2013)
  89. Zuo Zh-W, Ling D-B et al Physics Letters A 377 2909 (2013)
  90. Amariti A, Forcella D, Mariotti A J. High Energ. Phys. 2013 (1) (2013)
  91. Jiang Bing-feng, Hou De-fu et al Phys. Rev. D 88 (4) (2013)
  92. Ostroukhova E I, Maimistov A I Opt. Spectrosc. 112 255 (2012)
  93. Prokhorov A V, Barinov I O, Arakelian S M Opt. Spectrosc. 113 305 (2012)
  94. Kuroda N, Tsugawa K, Yokoi H J. Phys. Soc. Jpn. 81 114706 (2012)
  95. Popov A K, Shalaev M I et al Appl. Phys. A 109 835 (2012)
  96. Byrdin V M J. Commun. Technol. Electron. 57 75 (2012)
  97. Maimistov A I, Kazantseva E V Opt. Spectrosc. 112 264 (2012)
  98. Partovi T Chem. Lett. 41 760 (2012)
  99. Tatsing P H, Mohamadou A et al J. Opt. Soc. Am. B 29 3218 (2012)
  100. Brée C Nonlinear Optics in the Filamentation Regime Springer Theses Chapter 2 (2012) p. 7
  101. Tarapov S I, Belozorov D P Low Temperature Physics 38 603 (2012)
  102. Kim K-Y, Kim Ju et al Phys. Rev. A 85 (2) (2012)
  103. Radovanović Je, Ilić I et al Appl. Phys. A 109 997 (2012)
  104. Jiang Hai-tao, Zhang Jie-fei et al Physics Letters A 376 1509 (2012)
  105. Afanas’ev S A, Sannikov D G, Sementsov D I Phys. Solid State 54 332 (2012)
  106. Amariti A, Forcella D et al J. High Energ. Phys. 2011 (10) (2011)
  107. Jiang Hai-tao, Wang Zi-li et al Physics Letters A 375 1014 (2011)
  108. Rockstuhl C, Menzel C et al Phys. Rev. B 83 (24) (2011)
  109. Makarov V P, Rukhadze A A Uspekhi Fizicheskikh Nauk 181 1357 (2011)
  110. Oates T W H, Wormeester H, Arwin H Progress In Surface Science 86 328 (2011)
  111. Amariti A, Forcella D et al J. High Energ. Phys. 2011 (4) (2011)
  112. Reyes-Avendaño J A, Algredo-Badillo U et al New J. Phys. 13 073041 (2011)
  113. Tcherniega N V, Samoilovich M I et al Inorg Mater 47 1043 (2011)
  114. Wang H, Zhang X Phys. Rev. A 83 (5) (2011)
  115. Shalashov A G, Gospodchikov E D Uspekhi Fizicheskikh Nauk 181 151 (2011)
  116. Ilić I, Beličev P P et al Physics Letters A 375 1357 (2011)
  117. Maimistov A I, Kazantseva E V, Ozhenko S S Bull. Russ. Acad. Sci. Phys. 75 165 (2011)
  118. Makarov V P, Rukhadze A A, Samokhin A A Plasma Phys. Rep. 36 1129 (2010)
  119. Gorelik V S, Shchavlev V V Bull. Lebedev Phys. Inst. 37 374 (2010)
  120. Kriegler Ch E, Rill M S et al IEEE J. Select. Topics Quantum Electron. 16 367 (2010)
  121. Fedyanin D Yu, Arsenin A V et al J. Opt. 12 015002 (2010)
  122. Lagarkov A N, Kisel V N, Sarychev A K J. Opt. Soc. Am. B 27 648 (2010)
  123. Simovski C R, Tretyakov S A Photonics And Nanostructures - Fundamentals And Applications 8 254 (2010)
  124. Li X, Arnoldus H F Physics Letters A 374 4479 (2010)
  125. Chipouline A, Petschulat J et al 2010 International Conference on Advanced Optoelectronics and Lasers, (2010) p. 81
  126. Markel V A, Schotland J C J. Opt. 12 015104 (2010)
  127. Kravets V G, Schedin F et al Opt. Express 18 9780 (2010)
  128. Belozorov D, Khodzitsky M et al 2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES, (2010) p. 1
  129. Grochol M, Kessler E M, Piermarocchi C NanoScience And Technology Vol. Optical Generation and Control of Quantum Coherence in Semiconductor Nanostructures0 Chapter 9 (2010) p. 181
  130. Alexopoulos A Phys. Rev. E 81 (4) (2010)
  131. Lagarkov A N, Kisel V N et al High Temp 48 983 (2010)
  132. Maimistov A I, Gabitov I R Optics Communications 283 1633 (2010)
  133. Wei Sh, Dong Yu et al Phys. Rev. A 81 (5) (2010)
  134. Tankeyev A P, Smagin V V et al Phys. Metals Metallogr. 107 229 (2009)
  135. Averkov Yu O, Kats A V, Yakovenko V M Tech. Phys. 54 1245 (2009)
  136. Chern R-L, Chen Yu-T Phys. Rev. B 80 (7) (2009)
  137. Kazantseva E V, Maimistov A I, Ozhenko S S Phys. Rev. A 80 (4) (2009)
  138. Tikhodeev S G Bull. Russ. Acad. Sci. Phys. 73 88 (2009)
  139. Zolotovskii I O, Sementsov D I, Barykina E I Opt. Spectrosc. 107 117 (2009)
  140. Tikhodeev S G, Gippius N A Uspekhi Fizicheskikh Nauk 179 1003 (2009)
  141. Dong Yu, Zhang X Journal Of Applied Physics 105 054105 (2009)
  142. Zhang X Materials Today 12 44 (2009)
  143. Thu L M, Voskoboynikov O Phys. Rev. B 80 (15) (2009)
  144. Adamashvili G T, Adamashvili N T et al Opt. Spectrosc. 106 863 (2009)
  145. Ioanid A, Dafinei A S 2009 International Semiconductor Conference, (2009) p. 139
  146. Feigenbaum E, Kaminski N, Orenstein M Opt. Express 17 18934 (2009)
  147. Merlin R PNAS 106 1693 (2009)
  148. Plum E, Zhou J et al Phys. Rev. B 79 (3) (2009)
  149. Ramm A G Nonlinear Analysis: Theory, Methods & Applications 71 e186 (2009)
  150. Wegener M, Linden S Physics 2 (2009)
  151. Agranovich V M, Gartstein Yu N Metamaterials 3 1 (2009)
  152. Lagar’kov A N, Sarychev A K et al Uspekhi Fizicheskikh Nauk 179 1018 (2009)
  153. Alexopoulos A Physics Letters A 373 3190 (2009)
  154. Liu H, Lv Q et al J. Opt. A: Pure Appl. Opt. 11 105103 (2009)
  155. Rosanov N N Opt. Spectrosc. 107 768 (2009)
  156. Maĭmistov A I, Gabitov I R, Litchinitser N M Opt. Spectrosc. 104 253 (2008)
  157. Ramm A G Physics Letters A 372 2319 (2008)
  158. Litchinitser N M, Gabitov I R et al Progress In Optics Vol. Progress in Optics Volume 5151 (2008) p. 1
  159. Maimistov A I, Gabitov I R Bull. Russ. Acad. Sci. Phys. 72 704 (2008)
  160. Urzhumov Ya A, Shvets G Solid State Communications 146 208 (2008)
  161. Dong Yu, Zhang X Opt. Express 16 16950 (2008)
  162. Liu N, Hou X-D, Zhang X J. Phys.: Condens. Matter 20 335210 (2008)
  163. Adamashvili G T Physics Letters A 373 156 (2008)
  164. Xu J, Zhang X Physics Letters A 372 1129 (2008)
  165. Biancalana F, Creatore C Opt. Express 16 14882 (2008)
  166. Yunxia D, Xiangdong Zh 2008 International Workshop on Metamaterials, (2008) p. 216
  167. Zhang Ya Physics Letters A 372 4962 (2008)
  168. Kessler E M, Grochol M, Piermarocchi C Phys. Rev. B 77 (8) (2008)
  169. Wang Zh, Zhang Zh et al Materials & Design 29 1777 (2008)
  170. Cho D J, Wang F et al Phys. Rev. B 78 (12) (2008)
  171. Ramm A G Physics Letters A 372 6518 (2008)
  172. Kozlov A V, Mozhaev V G Physics Letters A 372 4718 (2008)
  173. Elyutin S O, Ozhenko S S, Maĭmistov A I J. Opt. Technol. 75 625 (2008)
  174. Darmanyan S A, Kobyakov A, Chowdhury D Q Physics Letters A 363 159 (2007)
  175. Perel’man M E Physics Letters A 370 528 (2007)
  176. Kästel J, Fleischhauer M, Juzeliūnas G Phys. Rev. A 76 (6) (2007)
  177. Brodin G, Marklund M et al Physics Letters A 367 233 (2007)
  178. de Medeiros F F, Albuquerque E L et al J. Phys.: Condens. Matter 19 496212 (2007)
  179. Ivanov A V, Shalygin A N et al Jetp Lett. 85 565 (2007)
  180. Plum E, Fedotov V A et al Appl. Phys. Lett. 90 223113 (2007)
  181. Ramm A G Physics Letters A 370 522 (2007)
  182. Shvartsburg A B, Kuzmiak V, Petite G Physics Reports 452 33 (2007)

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