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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.

Fulltext is available at IOP
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 (187) ↓

  1. Khaliji K, Stauber T, Low T Phys. Rev. B 102 (12) (2020)
  2. Alvarez J V, Djafari-Rouhani B, Torrent D Phys. Rev. B 102 (11) (2020)
  3. Basdemir H D Waves In Random And Complex Media 1 (2020)
  4. Juárez-Reyes L, Mendoza B S, Mochán W L Phys. Status Solidi B 257 1900557 (2020)
  5. Gratus J, Kinsler P, McCall M W Eur. J. Phys. 40 025203 (2019)
  6. Makarov V P, Rukhadze A A Uspekhi Fizicheskikh Nauk 189 (05) (2019)
  7. Pazynin L A, Pazynin V L, Sliusarenko H O Opt. Lett. 44 1125 (2019)
  8. Apostolov S S, Maizelis Z A et al Low Temperature Physics 45 885 (2019)
  9. Barois P, Ponsinet V et al J. Phys.: Conf. Ser. 963 012007 (2018)
  10. McGurn A Springer Series In Optical Sciences Vol. Nanophotonics213 Chapter 1 (2018) p. 1
  11. Davidovich M V Jetp Lett. 108 279 (2018)
  12. Chipouline A, Küppers F Springer Series In Optical Sciences Vol. Optical Metamaterials: Qualitative Models211 Chapter 1 (2018) p. 1
  13. Paśko W, Tralle I et al J Mater Sci 53 2034 (2018)
  14. Davidovich M V J. Exp. Theor. Phys. 127 1 (2018)
  15. Prishchenko D A, Mazurenko V G et al Phys. Rev. B 98 (20) (2018)
  16. Popov A, Myslivets S et al Photonics 5 8 (2018)
  17. Butko L N, Anzulevich A P et al J. Phys.: Conf. Ser. 1092 012016 (2018)
  18. Amirkhizi A V, Alizadeh V Wave Motion 83 214 (2018)
  19. McGurn A Springer Series In Optical Sciences Vol. Nanophotonics213 Chapter 5 (2018) p. 305
  20. Juárez-Reyes L, Mochán W L Phys. Status Solidi B 255 1700495 (2018)
  21. Fisanov V V Russ Phys J 59 1395 (2017)
  22. Chipouline A, Küppers F J. Opt. Soc. Am. B 34 1597 (2017)
  23. Sous J, Berciu M, Krems R V Phys. Rev. A 96 (6) (2017)
  24. Gorelik V S, Bi D, Fei G T J. Adv. Dielect. 07 1750038 (2017)
  25. Forcella D, Prada C, Carminati R Phys. Rev. Lett. 118 (13) (2017)
  26. Apostolov S S, Havrilenko V I et al Low Temp. Phys. 43 296 (2017)
  27. Popov A K, Nefedov I S, Myslivets S A ACS Photonics 4 1240 (2017)
  28. Ponsinet V, Baron A et al EPL 119 14004 (2017)
  29. Gorelik V S, Voinov Yu P et al J. Synch. Investig. 11 246 (2017)
  30. Jiang Bing-feng, Hou De-fu, Li Jia-rong Phys. Rev. D 94 (7) (2016)
  31. Maimistov A I, Lyashko E I Opt. Spectrosc. 121 635 (2016)
  32. Markel V A, Tsukerman I Phys. Rev. B 93 (22) (2016)
  33. Rudenko S P, Stetsenko M O et al Opt. Spectrosc. 120 540 (2016)
  34. Tutorials in Metamaterials 0 (2016) p. 239
  35. Gomez-Graña S, Le Beulze A et al Mater. Horiz. 3 596 (2016)
  36. Khokhlov Yu K Bull. Lebedev Phys. Inst. 43 49 (2016)
  37. Averbukh B B, Averbukh I B Russ Phys J 58 1760 (2016)
  38. Gorelik V S, Shchavlev V V Bull. Lebedev Phys. Inst. 43 189 (2016)
  39. Bykov N V, Maimistov A I Bull. Russ. Acad. Sci. Phys. 80 770 (2016)
  40. Tarasov V E Mod. Phys. Lett. B 30 1650132 (2016)
  41. Šindler M, Kadlec C et al Opt. Express 24 18340 (2016)
  42. Maimistov A I, Kazantseva E V Springer Series In Optical Sciences Vol. Contemporary Optoelectronics199 Chapter 11 (2016) p. 181
  43. Stetsenko M O, Maksimenko L S et al Nanoscale Res Lett 11 (1) (2016)
  44. (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
  45. Zhuravlev V M, Zolotovskii I O, Mironov P P Opt. Spectrosc. 121 744 (2016)
  46. Toptygin I N, Levina K Uspekhi Fizicheskikh Nauk 186 146 (2016)
  47. Mahapatra S J. High Energ. Phys. 2015 (1) (2015)
  48. Lu X, Shapiro M A, Temkin R J Phys. Rev. ST Accel. Beams 18 (8) (2015)
  49. Porvatkina O V, Tishchenko A A, Strikhanov M N J. Phys.: Conf. Ser. 643 012074 (2015)
  50. Shafeeque A A K, Nithyanandan K, Porsezian K Physics Letters A 379 223 (2015)
  51. Bobrov V B, Sokolov I M, Trigger S A Jetp Lett. 101 299 (2015)
  52. Lyashko E I, Maimistov A I Quantum Electron. 45 1050 (2015)
  53. Bychanok D, Plyushch A et al 2015 IEEE International Conference on Microwaves, Communications, Antennas and Electronic Systems (COMCAS), (2015) p. 1
  54. Bychanok D, Plyushch A et al 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2015) p. 43
  55. Maimistov A I, Gabitov I R, Lyashko E I J. Phys.: Conf. Ser. 613 012012 (2015)
  56. Compaijen P J, Malyshev V A, Knoester Ja Opt. Express 23 2280 (2015)
  57. Huang Y, Chen W Q et al AIP Advances 5 027138 (2015)
  58. Electromagnetic Phenomena in Matter (2015) p. 689
  59. Korovai O V Phys. Solid State 57 1456 (2015)
  60. Rai B, McGurn A R Phys. Rev. B 91 (8) (2015)
  61. Shevelev M, Konkov A, Aryshev A Phys. Rev. A 92 (5) (2015)
  62. Gubin M Yu, Leksin A Yu et al Opt. Spectrosc. 119 497 (2015)
  63. Maimistov A I, Lyashko E I Opt. Spectrosc. 118 803 (2015)
  64. Gorlach M A, Belov P A Phys. Rev. B 92 (8) (2015)
  65. Naimi E K, Vekilov Yu Kh Phys. Solid State 57 111 (2015)
  66. Kazantseva E V, Maimistov A I Quantum Electron. 45 1137 (2015)
  67. Antonets I V, Kotov L N et al J. Commun. Technol. Electron. 60 904 (2015)
  68. Taya S 22 (4) (2014)
  69. (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
  70. Tralle I, Ziȩba P, Paśko W Journal Of Applied Physics 115 233509 (2014)
  71. Forcella D, Zaanen Ja et al Phys. Rev. B 90 (3) (2014)
  72. Antonets I V, Kotov L N et al Tech. Phys. Lett. 40 584 (2014)
  73. Forcella D, Mezzalira A, Musso D J. High Energ. Phys. 2014 (11) (2014)
  74. Gevorgyan A H, Matinyan G K J. Exp. Theor. Phys. 118 771 (2014)
  75. Fedorov V Yu, Nakajima T J. Opt. 16 035103 (2014)
  76. Porvatkina O V, Tishchenko A A, Strikhanov M N J. Phys.: Conf. Ser. 541 012024 (2014)
  77. Chern R-L, Han D Opt. Express 22 4817 (2014)
  78. Smolyakov A, Fourkal E Phys. Rev. A 87 (1) (2013)
  79. Vendik I B, Vendik O G Tech. Phys. 58 1 (2013)
  80. Naumenko G A, Potylitsyn A P et al Proceedings of the International Conference Days on Diffraction 2013, (2013) p. 105
  81. Liu Ya, Guenneau S, Gralak B Phys. Rev. B 88 (16) (2013)
  82. Chern R-L Opt. Express 21 16514 (2013)
  83. Kudyshev Zh, Gabitov I, Maimistov A Phys. Rev. A 87 (6) (2013)
  84. Amariti A, Forcella D, Mariotti A J. High Energ. Phys. 2013 (1) (2013)
  85. Dai Zh, Xu Y et al Phys. Rev. A 87 (5) (2013)
  86. Kazantseva E V, Maimistov A I Quantum Electron. 43 807 (2013)
  87. Wormeester H, Oates T W H Ellipsometry at the Nanoscale Chapter 6 (2013) p. 225
  88. Mankov Yu I Phys. Solid State 55 924 (2013)
  89. Jiang Bing-feng, Hou De-fu et al Phys. Rev. D 88 (4) (2013)
  90. Zuo Zh-W, Ling D-B et al Physics Letters A 377 2909 (2013)
  91. Liu Ya, Guenneau S, Gralak B Proc. R. Soc. A. 469 20130240 (2013)
  92. Alexopoulos A, Yau K S B Physics Letters A 377 1143 (2013)
  93. Tarasov V E Physics Of Plasmas 20 102110 (2013)
  94. Li X, Arnoldus H F Physics Letters A 377 2235 (2013)
  95. Gorelik V S Bull. Lebedev Phys. Inst. 40 150 (2013)
  96. Markel V A, Tsukerman I Phys. Rev. B 88 (12) (2013)
  97. Radovanović Je, Ilić I et al Appl. Phys. A 109 997 (2012)
  98. Popov A K, Shalaev M I et al Appl. Phys. A 109 835 (2012)
  99. Tatsing P H, Mohamadou A et al J. Opt. Soc. Am. B 29 3218 (2012)
  100. Prokhorov A V, Barinov I O, Arakelian S M Opt. Spectrosc. 113 305 (2012)
  101. Ostroukhova E I, Maimistov A I Opt. Spectrosc. 112 255 (2012)
  102. Byrdin V M J. Commun. Technol. Electron. 57 75 (2012)
  103. Maimistov A I, Kazantseva E V Opt. Spectrosc. 112 264 (2012)
  104. Kuroda N, Tsugawa K, Yokoi H J. Phys. Soc. Jpn. 81 114706 (2012)
  105. Jiang Hai-tao, Zhang Jie-fei et al Physics Letters A 376 1509 (2012)
  106. Afanas’ev S A, Sannikov D G, Sementsov D I Phys. Solid State 54 332 (2012)
  107. Partovi T Chem. Lett. 41 760 (2012)
  108. Tarapov S I, Belozorov D P Low Temperature Physics 38 603 (2012)
  109. Brée C Nonlinear Optics in the Filamentation Regime Springer Theses Chapter 2 (2012) p. 7
  110. Kim K-Y, Kim Ju et al Phys. Rev. A 85 (2) (2012)
  111. Rockstuhl C, Menzel C et al Phys. Rev. B 83 (24) (2011)
  112. Jiang Hai-tao, Wang Zi-li et al Physics Letters A 375 1014 (2011)
  113. Amariti A, Forcella D et al J. High Energ. Phys. 2011 (4) (2011)
  114. Makarov V P, Rukhadze A A Uspekhi Fizicheskikh Nauk 181 1357 (2011)
  115. Reyes-Avendaño J A, Algredo-Badillo U et al New J. Phys. 13 073041 (2011)
  116. Ilić I, Beličev P P et al Physics Letters A 375 1357 (2011)
  117. Amariti A, Forcella D et al J. High Energ. Phys. 2011 (10) (2011)
  118. Shalashov A G, Gospodchikov E D Uspekhi Fizicheskikh Nauk 181 151 (2011)
  119. Tcherniega N V, Samoilovich M I et al Inorg Mater 47 1043 (2011)
  120. Maimistov A I, Kazantseva E V, Ozhenko S S Bull. Russ. Acad. Sci. Phys. 75 165 (2011)
  121. Wang H, Zhang X Phys. Rev. A 83 (5) (2011)
  122. Oates T W H, Wormeester H, Arwin H Progress In Surface Science 86 328 (2011)
  123. Kravets V G, Schedin F et al Opt. Express 18 9780 (2010)
  124. Lagarkov A N, Kisel V N, Sarychev A K J. Opt. Soc. Am. B 27 648 (2010)
  125. Belozorov D, Khodzitsky M et al 2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES, (2010) p. 1
  126. Wei Sh, Dong Yu et al Phys. Rev. A 81 (5) (2010)
  127. Markel V A, Schotland J C J. Opt. 12 015104 (2010)
  128. Gorelik V S, Shchavlev V V Bull. Lebedev Phys. Inst. 37 374 (2010)
  129. Makarov V P, Rukhadze A A, Samokhin A A Plasma Phys. Rep. 36 1129 (2010)
  130. Kriegler Ch E, Rill M S et al IEEE J. Select. Topics Quantum Electron. 16 367 (2010)
  131. Simovski C R, Tretyakov S A Photonics And Nanostructures - Fundamentals And Applications 8 254 (2010)
  132. Lagarkov A N, Kisel V N et al High Temp 48 983 (2010)
  133. Fedyanin D Yu, Arsenin A V et al J. Opt. 12 015002 (2010)
  134. Maimistov A I, Gabitov I R Optics Communications 283 1633 (2010)
  135. Alexopoulos A Phys. Rev. E 81 (4) (2010)
  136. Chipouline A, Petschulat J et al 2010 International Conference on Advanced Optoelectronics and Lasers, (2010) p. 81
  137. 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
  138. Li X, Arnoldus H F Physics Letters A 374 4479 (2010)
  139. Alexopoulos A Physics Letters A 373 3190 (2009)
  140. Zolotovskii I O, Sementsov D I, Barykina E I Opt. Spectrosc. 107 117 (2009)
  141. Zhang X Materials Today 12 44 (2009)
  142. Tikhodeev S G Bull. Russ. Acad. Sci. Phys. 73 88 (2009)
  143. Ioanid A, Dafinei A S 2009 International Semiconductor Conference, (2009) p. 139
  144. Dong Yu, Zhang X Journal Of Applied Physics 105 054105 (2009)
  145. Adamashvili G T, Adamashvili N T et al Opt. Spectrosc. 106 863 (2009)
  146. Lagar’kov A N, Sarychev A K et al Uspekhi Fizicheskikh Nauk 179 1018 (2009)
  147. Thu L M, Voskoboynikov O Phys. Rev. B 80 (15) (2009)
  148. Tikhodeev S G, Gippius N A Uspekhi Fizicheskikh Nauk 179 1003 (2009)
  149. Ramm A G Nonlinear Analysis: Theory, Methods & Applications 71 e186 (2009)
  150. Wegener M, Linden S Physics 2 (2009)
  151. Rosanov N N Opt. Spectrosc. 107 768 (2009)
  152. Averkov Yu O, Kats A V, Yakovenko V M Tech. Phys. 54 1245 (2009)
  153. Kazantseva E V, Maimistov A I, Ozhenko S S Phys. Rev. A 80 (4) (2009)
  154. Plum E, Zhou J et al Phys. Rev. B 79 (3) (2009)
  155. Liu H, Lv Q et al J. Opt. A: Pure Appl. Opt. 11 105103 (2009)
  156. Feigenbaum E, Kaminski N, Orenstein M Opt. Express 17 18934 (2009)
  157. Tankeyev A P, Smagin V V et al Phys. Metals Metallogr. 107 229 (2009)
  158. Chern R-L, Chen Yu-T Phys. Rev. B 80 (7) (2009)
  159. Merlin R PNAS 106 1693 (2009)
  160. Agranovich V M, Gartstein Yu N Metamaterials 3 1 (2009)
  161. Ramm A G Physics Letters A 372 6518 (2008)
  162. Ramm A G Physics Letters A 372 2319 (2008)
  163. Maĭmistov A I, Gabitov I R, Litchinitser N M Opt. Spectrosc. 104 253 (2008)
  164. Maimistov A I, Gabitov I R Bull. Russ. Acad. Sci. Phys. 72 704 (2008)
  165. Kessler E M, Grochol M, Piermarocchi C Phys. Rev. B 77 (8) (2008)
  166. Litchinitser N M, Gabitov I R et al Progress In Optics Vol. Progress in Optics Volume 5151 (2008) p. 1
  167. Dong Yu, Zhang X Opt. Express 16 16950 (2008)
  168. Liu N, Hou X-D, Zhang X J. Phys.: Condens. Matter 20 335210 (2008)
  169. Wang Zh, Zhang Zh et al Materials & Design 29 1777 (2008)
  170. Xu J, Zhang X Physics Letters A 372 1129 (2008)
  171. Zhang Ya Physics Letters A 372 4962 (2008)
  172. Adamashvili G T Physics Letters A 373 156 (2008)
  173. Elyutin S O, Ozhenko S S, Maĭmistov A I J. Opt. Technol. 75 625 (2008)
  174. Yunxia D, Xiangdong Zh 2008 International Workshop on Metamaterials, (2008) p. 216
  175. Cho D J, Wang F et al Phys. Rev. B 78 (12) (2008)
  176. Biancalana F, Creatore C Opt. Express 16 14882 (2008)
  177. Kozlov A V, Mozhaev V G Physics Letters A 372 4718 (2008)
  178. Urzhumov Ya A, Shvets G Solid State Communications 146 208 (2008)
  179. Darmanyan S A, Kobyakov A, Chowdhury D Q Physics Letters A 363 159 (2007)
  180. Shvartsburg A B, Kuzmiak V, Petite G Physics Reports 452 33 (2007)
  181. Brodin G, Marklund M et al Physics Letters A 367 233 (2007)
  182. Plum E, Fedotov V A et al Appl. Phys. Lett. 90 223113 (2007)
  183. Ivanov A V, Shalygin A N et al Jetp Lett. 85 565 (2007)
  184. Kästel J, Fleischhauer M, Juzeliūnas G Phys. Rev. A 76 (6) (2007)
  185. Perel’man M E Physics Letters A 370 528 (2007)
  186. Ramm A G Physics Letters A 370 522 (2007)
  187. de Medeiros F F, Albuquerque E L et al J. Phys.: Condens. Matter 19 496212 (2007)

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