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General relativity in electrical engineering

Open access
Leonhardt, Ulf, Philbin, Thomas G·2006·New Journal of Physics

Abstract

In electrical engineering metamaterials have been developed that offer unprecedented control over electromagnetic fields. Here, we show that general relativity provides the theoretical tools for designing devices made of such versatile materials. Given a desired device function, the theory describes the electromagnetic properties that turn this function into fact. We consider media that facilitate space-time transformations and include negative refraction. Our theory unifies the concepts operating behind the scenes of perfect invisibility devices, perfect lenses, the optical Aharonov–Bohm effect and electromagnetic analogues of the event horizon, and may lead to further applications.

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Show all 3 references

Research works printed but not linked: 72

  1. 10.1126/science.1125907 · DOI · Paper page
  2. Schurig D, 2006, Science
  3. 10.1126/science.1126493 · DOI · Paper page
  4. Leonhardt U, 2006, New J. Phys., 8, 118, 10.1088/1367-2630/8/7/118 · DOI · Paper page
  5. 10.1103/PhysRevLett.97.073902 · DOI
  6. 10.1103/PhysRevE.72.016623 · DOI · Paper page
  7. Milton G W, 2006, Proc. R. Soc. Lond.
  8. 10.1103/PhysRevLett.92.117403 · DOI · Paper page
  9. 10.1126/science.1108759 · DOI · Paper page
  10. Lee H, 2005, New J. Phys., 7, 255, 10.1088/1367-2630/7/1/255 · DOI
  11. 10.1364/OPEX.13.002127 · DOI · Paper page
  12. 10.1126/science.1096796 · DOI · Paper page
  13. Veselago V, 2006, J. Comput. Theor. Nanosci., 3, 189, 10.1166/jctn.2006.3000 · DOI · Paper page
  14. Misner Ch W, 1999, Gravitation
  15. Peacock J A, 1999, Cosmological Physics
  16. Van Bladel J, 1984, Relativity and Engineering, 10.1007/978-3-642-69198-0 · doi:10.1007/978-3-642-69198-0
  17. Born M, 1999, Principles of Optics, 10.1017/CBO9781139644181 · DOI · Paper page
  18. Feynman R P, 1983, The Feynman Lectures on Physics. Mainly Mechanics, Radiation and Heat
  19. Novello M, 2002, Artificial Black Holes, 10.1142/4861 · DOI · Paper page
  20. 10.1103/PhysRevA.60.4301 · DOI · Paper page
  21. 10.1103/PhysRevLett.84.822 · DOI · Paper page
  22. 10.1103/PhysRevD.62.044044 · DOI
  23. 10.1103/PhysRevLett.88.061101 · DOI
  24. 10.1038/415406a · DOI
  25. 10.1103/PhysRevA.65.043818 · DOI
  26. 10.1103/PhysRevD.66.044019 · DOI · Paper page
  27. 10.1103/PhysRevD.68.024008 · DOI
  28. Leonhardt U, 2003, Rep. Prog. Phys., 66, 1207, 10.1088/0034-4885/66/7/203 · DOI
  29. 10.1103/PhysRevLett.95.031301 · DOI · Paper page
  30. 10.1038/nature01937 · DOI · Paper page
  31. 10.1038/nature04242 · DOI · Paper page
  32. Tamm I Y, 1924, J. Russ. Phys.-Chem. Soc., 56, 248
  33. Tamm I Y, 1925, J. Russ. Phys.-Chem. Soc., 56, 1
  34. 10.1103/PhysRev.118.1396 · DOI · Paper page
  35. 10.1103/PhysRevA.62.012111 · DOI
  36. 10.1103/PhysRevA.73.032108 · DOI
  37. Greenleaf A, 2003, Physiol. Meas., 24, S1, 10.1088/0967-3334/24/2/353 · DOI · Paper page
  38. Greenleaf A, 2003, Math. Res. Lett., 10, 1, 10.4310/MRL.2003.v10.n5.a11 · DOI
  39. Landau L D, 1995, The Classical Theory of Fields
  40. Schleich W, 1984, Les Houches Session 38 New Trends in Atomic Physics
  41. Jackson J D, 1998, Classical Electrodynamics
  42. Landau L D, 1993, Electrodynamics of Continuous Media
  43. Lakhtakia A, 2004, J. Phys. A: Math. Gen., 37, L505, 10.1088/0305-4470/37/42/L02 · doi:10.1088/0305-4470/37/42/l02
  44. Lakhtakia A, 2005, J. Phys. A: Math. Gen., 38, 2545, 10.1088/0305-4470/38/11/N02 · doi:10.1088/0305-4470/38/11/n02
  45. 10.1016/j.physleta.2005.01.014 · doi:10.1016/j.physleta.2005.01.014
  46. 10.1016/j.physleta.2005.04.064 · DOI
  47. Mackay T G, 2005, New J. Phys., 7, 75, 10.1088/1367-2630/7/1/075 · DOI
  48. Mackay T G, 2005, New J. Phys., 7, 171, 10.1088/1367-2630/7/1/171 · doi:10.1088/1367-2630/7/1/171
  49. 10.1140/epjcd/s2005-01-001-9 · doi:10.1140/epjcd/s2005-01-001-9
  50. 10.1209/epl/i2005-10164-5 · doi:10.1209/epl/i2005-10164-5
  51. McCall M W, 2005, J. Phys. A: Math. Gen., 38, 2543, 10.1088/0305-4470/38/11/N01 · doi:10.1088/0305-4470/38/11/n01
  52. McCall M W, 2006, J. Mod. Opt.
  53. 10.1080/095003496155878 · doi:10.1080/095003496155878
  54. 10.1119/1.17840 · DOI
  55. 10.2307/1971435 · DOI · Paper page
  56. Gbur G, 2003, Prog. Opt., 45, 273, 10.1016/S0079-6638(03)80007-0 · DOI
  57. 10.1109/JSTQE.2002.807968 · DOI
  58. Minkel J R, 2002, Phys. Rev. Focus, 9, 23, 10.1103/PhysRevFocus.9.23 · doi:10.1103/physrevfocus.9.23
  59. 10.1103/PhysRevLett.90.029703 · doi:10.1103/physrevlett.90.029703
  60. 10.1103/PhysRevLett.90.029704 · doi:10.1103/physrevlett.90.029704
  61. 10.1103/PhysRevLett.91.099701 · doi:10.1103/physrevlett.91.099701
  62. 10.1103/PhysRevLett.91.099702 · doi:10.1103/physrevlett.91.099702
  63. Milonni P W, 1994, The Quantum Vacuum
  64. 10.1119/1.19138 · doi:10.1119/1.19138
  65. Berry M V, 1980, Eur. J. Phys., 1, 154, 10.1088/0143-0807/1/3/008 · DOI · Paper page
  66. 10.1103/PhysRevLett.79.3170 · doi:10.1103/physrevlett.79.3170
  67. 10.1103/PhysRevLett.83.1966 · doi:10.1103/physrevlett.83.1966
  68. 10.1103/PhysRevD.26.1281 · DOI
  69. 10.1103/PhysRev.115.485 · DOI · Paper page
  70. Peshkin M, 1989, The Aharonov-Bohm Effect, 10.1007/BFb0032076 · DOI · Paper page
  71. Ablowitz M J, 1997, Complex Variables
  72. 10.1016/0370-1573(95)00008-5 · DOI · Paper page

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Metadata

Authors
Leonhardt, U., & Philbin, T. G.
Venue
New Journal of Physics
Published
2006-10-23
Volume
8
Issue
10
Pages
247-247
ISSN
1367-2630 (ISSN-L)
OpenAlex
W2110678756
Cited by
596
References
3
FWCI
28.82
Type
journal article
Language
en
Open access
gold

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Leonhardt, U., & Philbin, T. G. (2006). General relativity in electrical engineering. New Journal of Physics. https://doi.org/10.1088/1367-2630/8/10/247

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