RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2002

 / 

October

←  →

Methodological notes


Formulating Fermat’s principle for light traveling in negative refraction materials

 a, b
a Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

The formulation of Fermat’s principle for electromagnetic waves traveling in materials with a negative refractive index is refined. It is shown that a formulation in terms of the minimum (or extremum) of wave travel time between two points is not correct in general. The correct formulation involves the extremum of the total optical length, with the optical length for the wave propagation through left-handed materials taken to be negative.

Fulltext pdf (123 KB)
Fulltext is also available at DOI: 10.1070/PU2002v045n10ABEH001223
PACS: 42.15.−i, 42.79.Bh, 78.20.Ci (all)
DOI: 10.1070/PU2002v045n10ABEH001223
URL: https://ufn.ru/en/articles/2002/10/e/
000181011300005
Citation: Veselago V G "Formulating Fermat's principle for light traveling in negative refraction materials" Phys. Usp. 45 1097–1099 (2002)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Веселаго В Г «О формулировке принципа Ферма для света, распространяющегося в веществах с отрицательным преломлением» УФН 172 1215–1218 (2002); DOI: 10.3367/UFNr.0172.200210e.1215

References (9) Cited by (37) ↓ Similar articles (20)

  1. Errouas Y, El K I et al PIER M 126 65 (2024)
  2. Frenkel M, Shoval Sh, Bormashenko E Materials 16 7571 (2023)
  3. Tuleushev A Z, Harrison F E et al Polymers 13 358 (2021)
  4. Fisanov V V J. Phys.: Conf. Ser. 1499 012011 (2020)
  5. Kakoolaki N, Hassanzadeh A J. Opt. Soc. Am. B 36 2564 (2019)
  6. Azevedo Frankbelson dos S, Figueiredo D et al EPL 124 34006 (2018)
  7. Lagaros N D Struct Multidisc Optim 58 1751 (2018)
  8. Gorshkov V N, Navadeh N, Fallah A S Smart Mater. Struct. 26 095058 (2017)
  9. Williams Ja R 2D Materials 1 8 (2017) p. 141
  10. Malykin G B Opt. Spectrosc. 120 605 (2016)
  11. Iqbal N, Choudhury P K Optics Communications 358 190 (2016)
  12. Gutiérrez C E, Stachura E J. Opt. Soc. Am. A 32 2110 (2015)
  13. Kishor K, Baitha M N, Sinha R K Optik 126 4708 (2015)
  14. Artificial Transmission Lines for RF and Microwave Applications 1 (2015) p. 119
  15. Gevorgyan A H, Matinyan G K J. Exp. Theor. Phys. 118 771 (2014)
  16. Kishor K, Baitha M N et al J. Opt. Soc. Am. B 31 1410 (2014)
  17. Kildishev A V, Shalaev V M Uspekhi Fizicheskikh Nauk 181 59 (2011)
  18. Boardman A J. Opt. 13 020401 (2011)
  19. Makarov V P, Rukhadze A A, Samokhin A A Plasma Phys. Rep. 36 1129 (2010)
  20. Eritsyan O S, Lalayan A A et al Crystallogr. Rep. 55 938 (2010)
  21. Shevchenko V V J. Commun. Technol. Electron. 54 662 (2009)
  22. Zharov A A, Zharova N A, Noskov R E J. Exp. Theor. Phys. 109 734 (2009)
  23. SHENDELEVA M L Journal Of Microscopy 229 452 (2008)
  24. Rautian S G Uspekhi Fizicheskikh Nauk 178 1017 (2008)
  25. Rautian S G Opt. Spectrosc. 105 93 (2008)
  26. Vinogradov E A, Babintsev V A et al Phys. Wave Phen. 15 126 (2007)
  27. Zharov A A, Noskov R E Bull. Russ. Acad. Sci. Phys. 71 43 (2007)
  28. Pinchuk A O, Schatz G C J. Opt. Soc. Am. A 24 A39 (2007)
  29. Pinchuk A O, Schatz G C Solid-State Electronics 51 1381 (2007)
  30. Buchel’nikov V D, Rive V V Jetp Lett. 84 395 (2006)
  31. Zharov A A, Kondrat’ev I G, Smirnov A I Radiophys Quantum Electron 48 871 (2005)
  32. Ward D W, Nelson K A, Webb K J New J. Phys. 7 213 (2005)
  33. Vol. TELSIKS 2005 - 2005 uth International Conference on Telecommunication in ModernSatellite, Cable and Broadcasting ServicesElectromagnetic Structures Containing Negative Refractive Index MetamaterialsZ.JaksicN.DalarssonM.Maksimovic1 (2005) p. 145
  34. Veselago V G Appl. Phys. B 81 403 (2005)
  35. Averkov Yu O, Yakovenko V M Phys. Rev. B 72 (20) (2005)
  36. Novitsky A V, Barkovsky L M J. Opt. A: Pure Appl. Opt. 7 S51 (2005)
  37. Veselago V G Uspekhi Fizicheskikh Nauk 173 790 (2003)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions