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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.

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Fulltext is also available at DOI: 10.1070/PU2006v049n10ABEH006067
PACS: 42.25-p, 71.36+c, 78.20.Ci
DOI: 10.1070/PU2006v049n10ABEH006067
URL: https://ufn.ru/en/articles/2006/10/c/
000244185100003
2-s2.0-33847051663
2006PhyU...49.1029A
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 (202) ↓

  1. Korobko P O, Kuzmov A V Powder Metall Met Ceram (2024)
  2. Dwivedi R, Aradian A et al Phys. Rev. A 109 (2) (2024)
  3. Maimistov A  I Bull. Lebedev Phys. Inst. 50 S1066 (2023)
  4. Kim Ja, Torquato S Optica 10 965 (2023)
  5. Basdemir H D Waves In Random And Complex Media 32 696 (2022)
  6. Tarasov V E Annals Of Physics 445 169082 (2022)
  7. Kovaleva N A, Mozgovoy I V 2022 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO), (2022) p. 1
  8. Davidovich M V J. Exp. Theor. Phys. 132 159 (2021)
  9. Mikki S Foundations 2 20 (2021)
  10. Taya S A, Colak I et al Appl. Opt. 60 8360 (2021)
  11. Yatsyshen V V J. Phys.: Conf. Ser. 1889 022087 (2021)
  12. Butukhanov V P, Lomukhin Ju L, Atutov E B J. Phys.: Conf. Ser. 2140 012020 (2021)
  13. Khaliji K, Stauber T, Low T Phys. Rev. B 102 (12) (2020)
  14. Alvarez J V, Djafari-Rouhani B, Torrent D Phys. Rev. B 102 (11) (2020)
  15. Juárez-Reyes L, Mendoza B S, Mochán W L Physica Status Solidi (b) 257 (5) (2020)
  16. Makarov V P, Rukhadze A A Phys.-Usp. 62 487 (2019)
  17. Makarov V P, Rukhadze A A Uspekhi Fizicheskikh Nauk 189 (05) (2019)
  18. Pazynin L A, Pazynin V L, Sliusarenko H O Opt. Lett. 44 1125 (2019)
  19. TRALLE Igor, ZIĘBA Paweł Pfe 3 53 (2019)
  20. Davidovich M V Phys.-Usp. 62 1173 (2019)
  21. Apostolov S S, Maizelis Z A et al 45 885 (2019)
  22. Gratus J, Kinsler P, McCall M W Eur. J. Phys. 40 025203 (2019)
  23. Juárez‐Reyes Lucila, Mochán W L Physica Status Solidi (b) 255 (4) (2018)
  24. Amirkhizi A V, Alizadeh V Wave Motion 83 214 (2018)
  25. Barois P, Ponsinet V et al J. Phys.: Conf. Ser. 963 012007 (2018)
  26. Butko L N, Anzulevich A P et al J. Phys.: Conf. Ser. 1092 012016 (2018)
  27. McGurn A Springer Series In Optical Sciences Vol. NanophotonicsMetamaterials213 Chapter 5 (2018) p. 305
  28. Chipouline A, Küppers F Springer Series In Optical Sciences Vol. Optical Metamaterials: Qualitative ModelsIntroduction to Optical Metamaterials: Motivation and Goals211 Chapter 1 (2018) p. 1
  29. McGurn A Springer Series In Optical Sciences Vol. NanophotonicsIntroduction213 Chapter 1 (2018) p. 1
  30. Popov A K, Myslivets S A et al Photonics 5 8 (2018)
  31. Davidovich M V Jetp Lett. 108 279 (2018)
  32. Davidovich M V J. Exp. Theor. Phys. 127 1 (2018)
  33. Prishchenko D A, Mazurenko V G et al Phys. Rev. B 98 (20) (2018)
  34. Paśko W, Tralle I et al J Mater Sci 53 2034 (2018)
  35. Forcella D, Prada C, Carminati R Phys. Rev. Lett. 118 (13) (2017)
  36. Ponsinet V, Baron A et al EPL 119 14004 (2017)
  37. Gorelik V S, Voinov Yu P et al J. Synch. Investig. 11 246 (2017)
  38. Popov A K, Nefedov I S, Myslivets S A ACS Photonics 4 1240 (2017)
  39. Chipouline A, Küppers F J. Opt. Soc. Am. B 34 1597 (2017)
  40. Fisanov V V Russ Phys J 59 1395 (2017)
  41. Apostolov S S, Havrilenko V I et al 43 296 (2017)
  42. Sous J, Berciu M, Krems R V Phys. Rev. A 96 (6) (2017)
  43. Gorelik V S, Bi D, Fei G T J. Adv. Dielect. 07 1750038 (2017)
  44. Bykov N V, Maimistov A I Bull. Russ. Acad. Sci. Phys. 80 770 (2016)
  45. Averbukh B B, Averbukh I B Russ Phys J 58 1760 (2016)
  46. Maimistov A I, Lyashko E I Opt. Spectrosc. 121 635 (2016)
  47. Tutorials in Metamaterials 0 (2016) p. 239
  48. Rudenko S P, Stetsenko M O et al Opt. Spectrosc. 120 540 (2016)
  49. Khokhlov Yu K Bull. Lebedev Phys. Inst. 43 49 (2016)
  50. Gorelik V S, Shchavlev V V Bull. Lebedev Phys. Inst. 43 189 (2016)
  51. Jiang Bing-feng, Hou De-fu, Li Jia-rong Phys. Rev. D 94 (7) (2016)
  52. Markel V A, Tsukerman I Phys. Rev. B 93 (22) (2016)
  53. Tarasov V E Mod. Phys. Lett. B 30 1650132 (2016)
  54. Gomez-Graña S, Le Beulze A et al Mater. Horiz. 3 596 (2016)
  55. Šindler M, Kadlec C et al Opt. Express 24 18340 (2016)
  56. Stetsenko M O, Maksimenko L S et al Nanoscale Res Lett 11 (1) (2016)
  57. Toptygin I N, Levina K Uspekhi Fizicheskikh Nauk 186 146 (2016)
  58. Zhuravlev V M, Zolotovskii I O, Mironov P P Opt. Spectrosc. 121 744 (2016)
  59. Maimistov A I, Kazantseva E V Springer Series In Optical Sciences Vol. Contemporary OptoelectronicsOppositely Directional Coupler: Example of the Forward Backward Waves Interaction in the Metamaterials199 Chapter 11 (2016) p. 181
  60. (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
  61. Shevelev M, Konkov A, Aryshev A Phys. Rev. A 92 (5) (2015)
  62. Lyashko E I, Maimistov A I Quantum Electron. 45 1050 (2015)
  63. Lu X, Shapiro M A, Temkin R J Phys. Rev. ST Accel. Beams 18 (8) (2015)
  64. Bychanok D, Plyushch A et al 2015 IEEE International Conference on Microwaves, Communications, Antennas and Electronic Systems (COMCAS), (2015) p. 1
  65. Bychanok D, Plyushch A et al 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2015) p. 43
  66. Porvatkina O V, Tishchenko A A, Strikhanov M N J. Phys.: Conf. Ser. 643 012074 (2015)
  67. Maimistov A I, Gabitov I R, Lyashko E I J. Phys.: Conf. Ser. 613 012012 (2015)
  68. Mahapatra S J. High Energ. Phys. 2015 (1) (2015)
  69. Korovai O V Phys. Solid State 57 1456 (2015)
  70. Popov A K Springer Series In Materials Science Vol. Nonlinear, Tunable and Active MetamaterialsNonlinear Optics with Backward Waves200 Chapter 10 (2015) p. 193
  71. Shafeeque A A K, Nithyanandan K, Porsezian K Physics Letters A 379 223 (2015)
  72. Rai B, McGurn A R Phys. Rev. B 91 (8) (2015)
  73. Antonets I V, Kotov L N et al J. Commun. Technol. Electron. 60 904 (2015)
  74. Gubin M Yu, Leksin A Yu et al Opt. Spectrosc. 119 497 (2015)
  75. Naimi E K, Vekilov Yu Kh Phys. Solid State 57 111 (2015)
  76. Compaijen P J, Malyshev V A, Knoester Ja Opt. Express 23 2280 (2015)
  77. Huang Y, Chen W Q et al 5 (2) (2015)
  78. Maimistov A I, Lyashko E I Opt. Spectrosc. 118 803 (2015)
  79. Gorlach M A, Belov P A Phys. Rev. B 92 (8) (2015)
  80. Kazantseva E V, Maimistov A I Quantum Electron. 45 1137 (2015)
  81. Bobrov V B, Sokolov I M, Trigger S A Jetp Lett. 101 299 (2015)
  82. Electromagnetic Phenomena in Matter 1 (2015) p. 689
  83. (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
  84. Taya S 22 (4) (2014)
  85. Forcella D, Zaanen Ja et al Phys. Rev. B 90 (3) (2014)
  86. Tralle I, Ziȩba P, Paśko W 115 (23) (2014)
  87. Fedorov V Yu, Nakajima T J. Opt. 16 035103 (2014)
  88. Chern R-L, Han D Opt. Express 22 4817 (2014)
  89. Gevorgyan A H, Matinyan G K J. Exp. Theor. Phys. 118 771 (2014)
  90. Antonets I V, Kotov L N et al Tech. Phys. Lett. 40 584 (2014)
  91. Forcella D, Mezzalira A, Musso D J. High Energ. Phys. 2014 (11) (2014)
  92. Porvatkina O V, Tishchenko A A, Strikhanov M N J. Phys.: Conf. Ser. 541 012024 (2014)
  93. Alexopoulos A, Yau K S B Physics Letters A 377 1143 (2013)
  94. Smolyakov A, Fourkal E Phys. Rev. A 87 (1) (2013)
  95. Chern R-L Opt. Express 21 16514 (2013)
  96. Vendik I B, Vendik O G Tech. Phys. 58 1 (2013)
  97. Amariti A, Forcella D, Mariotti A J. High Energ. Phys. 2013 (1) (2013)
  98. Kudyshev Zh, Gabitov I, Maimistov A Phys. Rev. A 87 (6) (2013)
  99. Wormeester H, Oates T W H Ellipsometry at the Nanoscale Chapter 6 (2013) p. 225
  100. Gorelik V S Bull. Lebedev Phys. Inst. 40 150 (2013)
  101. Kazantseva E V, Maimistov A I Quantum Electron. 43 807 (2013)
  102. Liu Ya, Guenneau S, Gralak B Phys. Rev. B 88 (16) (2013)
  103. Dai Zh, Xu Y et al Phys. Rev. A 87 (5) (2013)
  104. Zuo Zh-W, Ling D-B et al Physics Letters A 377 2909 (2013)
  105. Tarasov V E 20 (10) (2013)
  106. Liu Ya, Guenneau S, Gralak B Proc. R. Soc. A. 469 20130240 (2013)
  107. Jiang Bing-feng, Hou De-fu et al Phys. Rev. D 88 (4) (2013)
  108. Markel V A, Tsukerman I Phys. Rev. B 88 (12) (2013)
  109. Li X, Arnoldus H F Physics Letters A 377 2235 (2013)
  110. Mankov Yu I Phys. Solid State 55 924 (2013)
  111. Naumenko G A, Potylitsyn A P et al Proceedings of the International Conference Days on Diffraction 2013, (2013) p. 105
  112. Kim K-Y, Kim Ju et al Phys. Rev. A 85 (2) (2012)
  113. Tatsing P H, Mohamadou A et al J. Opt. Soc. Am. B 29 3218 (2012)
  114. Ostroukhova E I, Maimistov A I Opt. Spectrosc. 112 255 (2012)
  115. Prokhorov A V, Barinov I O, Arakelian S M Opt. Spectrosc. 113 305 (2012)
  116. Radovanović Je, Ilić I et al Appl. Phys. A 109 997 (2012)
  117. Popov A K, Shalaev M I et al Appl. Phys. A 109 835 (2012)
  118. Byrdin V M J. Commun. Technol. Electron. 57 75 (2012)
  119. Kuroda N, Tsugawa K, Yokoi H J. Phys. Soc. Jpn. 81 114706 (2012)
  120. Maimistov A I, Kazantseva E V Opt. Spectrosc. 112 264 (2012)
  121. Brée C Nonlinear Optics in the Filamentation Regime Springer Theses Chapter 2 (2012) p. 7
  122. Tarapov S I, Belozorov D P 38 603 (2012)
  123. Jiang Hai-tao, Zhang Jie-fei et al Physics Letters A 376 1509 (2012)
  124. Afanas’ev S A, Sannikov D G, Sementsov D I Phys. Solid State 54 332 (2012)
  125. Partovi T 41 760 (2012)
  126. Makarov V P, Rukhadze A A Uspekhi Fizicheskikh Nauk 181 1357 (2011)
  127. Amariti A, Forcella D et al J. High Energ. Phys. 2011 (4) (2011)
  128. Tcherniega N V, Samoilovich M I et al Inorg Mater 47 1043 (2011)
  129. Shalashov A G, Gospodchikov E D Uspekhi Fizicheskikh Nauk 181 151 (2011)
  130. Wang H, Zhang X Phys. Rev. A 83 (5) (2011)
  131. Oates T W H, Wormeester H, Arwin H Progress In Surface Science 86 328 (2011)
  132. Jiang Hai-tao, Wang Zi-li et al Physics Letters A 375 1014 (2011)
  133. Rockstuhl C, Menzel C et al Phys. Rev. B 83 (24) (2011)
  134. Amariti A, Forcella D et al J. High Energ. Phys. 2011 (10) (2011)
  135. Maimistov A I, Kazantseva E V, Ozhenko S S Bull. Russ. Acad. Sci. Phys. 75 165 (2011)
  136. Reyes-Avendaño J A, Algredo-Badillo U et al New J. Phys. 13 073041 (2011)
  137. Ilić I, Beličev P P et al Physics Letters A 375 1357 (2011)
  138. Fedyanin D Yu, Arsenin A V et al J. Opt. 12 015002 (2010)
  139. Kravets V G, Schedin F et al Opt. Express 18 9780 (2010)
  140. Gorelik V S, Shchavlev V V Bull. Lebedev Phys. Inst. 37 374 (2010)
  141. Belozorov D, Khodzitsky M et al 2010 INTERNATIONAL KHARKOV SYMPOSIUM ON PHYSICS AND ENGINEERING OF MICROWAVES, MILLIMETER AND SUBMILLIMETER WAVES, (2010) p. 1
  142. Kriegler Ch E, Rill M S et al IEEE J. Select. Topics Quantum Electron. 16 367 (2010)
  143. Alexopoulos A Phys. Rev. E 81 (4) (2010)
  144. Lagarkov A N, Kisel V N et al High Temp 48 983 (2010)
  145. Markel V A, Schotland J C J. Opt. 12 015104 (2010)
  146. Maimistov A I, Gabitov I R Optics Communications 283 1633 (2010)
  147. Li X, Arnoldus H F Physics Letters A 374 4479 (2010)
  148. Makarov V P, Rukhadze A A, Samokhin A A Plasma Phys. Rep. 36 1129 (2010)
  149. Chipouline A, Petschulat J et al 2010 International Conference on Advanced Optoelectronics and Lasers, (2010) p. 81
  150. Grochol M, Kessler E M, Piermarocchi C NanoScience And Technology Vol. Optical Generation and Control of Quantum Coherence in Semiconductor NanostructuresExciton and spin coherence in quantum dot lattices0 Chapter 9 (2010) p. 181
  151. Simovski C R, Tretyakov S A Photonics And Nanostructures - Fundamentals And Applications 8 254 (2010)
  152. Wei Sh, Dong Yu et al Phys. Rev. A 81 (5) (2010)
  153. Lagarkov A N, Kisel V N, Sarychev A K J. Opt. Soc. Am. B 27 648 (2010)
  154. Adamashvili G T, Adamashvili N T et al Opt. Spectrosc. 106 863 (2009)
  155. Kazantseva E V, Maimistov A I, Ozhenko S S Phys. Rev. A 80 (4) (2009)
  156. Plum E, Zhou J et al Phys. Rev. B 79 (3) (2009)
  157. Zhang X Materials Today 12 44 (2009)
  158. Tikhodeev S G, Gippius N A Uspekhi Fizicheskikh Nauk 179 1003 (2009)
  159. Averkov Yu O, Kats A V, Yakovenko V M Tech. Phys. 54 1245 (2009)
  160. Rosanov N N Opt. Spectrosc. 107 768 (2009)
  161. Ramm A G Nonlinear Analysis: Theory, Methods & Applications 71 e186 (2009)
  162. Tikhodeev S G Bull. Russ. Acad. Sci. Phys. 73 88 (2009)
  163. Chern R-L, Chen Yu-T Phys. Rev. B 80 (7) (2009)
  164. Dong Yu, Zhang X 105 (5) (2009)
  165. Zolotovskii I O, Sementsov D I, Barykina E I Opt. Spectrosc. 107 117 (2009)
  166. Agranovich V M, Gartstein Yu N Metamaterials 3 1 (2009)
  167. Lagar’kov A N, Sarychev A K et al Uspekhi Fizicheskikh Nauk 179 1018 (2009)
  168. Alexopoulos A Physics Letters A 373 3190 (2009)
  169. Thu L M, Voskoboynikov O Phys. Rev. B 80 (15) (2009)
  170. Wegener M, Linden S Physics 2 (2009)
  171. Merlin R Proc. Natl. Acad. Sci. U.S.A. 106 1693 (2009)
  172. Feigenbaum E, Kaminski N, Orenstein M Opt. Express 17 18934 (2009)
  173. Liu H, Lv Q et al J. Opt. A: Pure Appl. Opt. 11 105103 (2009)
  174. Ioanid A, Dafinei A S 2009 International Semiconductor Conference, (2009) p. 139
  175. Tankeyev A P, Smagin V V et al Phys. Metals Metallogr. 107 229 (2009)
  176. Xu J, Zhang X Physics Letters A 372 1129 (2008)
  177. Wang Zh, Zhang Zh et al Materials & Design 29 1777 (2008)
  178. Yunxia D, Xiangdong Zh 2008 International Workshop on Metamaterials, (2008) p. 216
  179. Maimistov A I, Gabitov I R Bull. Russ. Acad. Sci. Phys. 72 704 (2008)
  180. Zhang Ya Physics Letters A 372 4962 (2008)
  181. Dong Yu, Zhang X Opt. Express 16 16950 (2008)
  182. Cho D J, Wang F et al Phys. Rev. B 78 (12) (2008)
  183. Litchinitser N M, Gabitov I R et al Progress In Optics Vol. Progress in Optics Volume 51Chapter 1 Negative refractive index metamaterials in optics51 (2008) p. 1
  184. Biancalana F, Creatore C Opt. Express 16 14882 (2008)
  185. Ramm A G Physics Letters A 372 2319 (2008)
  186. Kessler E M, Grochol M, Piermarocchi C Phys. Rev. B 77 (8) (2008)
  187. Kozlov A V, Mozhaev V G Physics Letters A 372 4718 (2008)
  188. Elyutin S O, Ozhenko S S, Maĭmistov A I J. Opt. Technol. 75 625 (2008)
  189. Liu N, Hou X-D, Zhang X J. Phys.: Condens. Matter 20 335210 (2008)
  190. Maĭmistov A I, Gabitov I R, Litchinitser N M Opt. Spectrosc. 104 253 (2008)
  191. Ramm A G Physics Letters A 372 6518 (2008)
  192. Urzhumov Ya A, Shvets G Solid State Communications 146 208 (2008)
  193. Adamashvili G T Physics Letters A 373 156 (2008)
  194. Ivanov A V, Shalygin A N et al Jetp Lett. 85 565 (2007)
  195. Plum E, Fedotov V A et al 90 (22) (2007)
  196. Ramm A G Physics Letters A 370 522 (2007)
  197. Perel’man M E Physics Letters A 370 528 (2007)
  198. Kästel J, Fleischhauer M, Juzeliūnas G Phys. Rev. A 76 (6) (2007)
  199. Shvartsburg A B, Kuzmiak V, Petite G Physics Reports 452 33 (2007)
  200. Darmanyan S A, Kobyakov A, Chowdhury D Q Physics Letters A 363 159 (2007)
  201. Brodin G, Marklund M et al Physics Letters A 367 233 (2007)
  202. de Medeiros F F, Albuquerque E L et al J. Phys.: Condens. Matter 19 496212 (2007)

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