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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 (201) ↓

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

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