Issues

 / 

2011

 / 

December

  

Letters to the editors


Negative group velocity electromagnetic waves and the energy—momentum tensor

 a,  b, a
a Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation
b Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

V G Veselago’s results (Usp. Fiz. Nauk 179 689 (2009) [Phys. Usp. 52 649 (2009)]) on the electromagnetic (EM) energy — momentum tensor in a medium are analyzed. It is shown that Veselago’s statements on the Abraham tensor are wrong (this is not actually a tensor, and the Abraham force was introduced into the theory as an artificial auxiliary device). In discussing the EM energy — momentum tensor in a dispersive medium, it seems to have escaped the author’s attention that the problem was resolved a long time ago: the electromagnetic energy — momentum tensor for a dispersive isotropic medium at rest is a symmetric 4-tensor which includes the Brillouin energy density, the energy flux density (Umov — Poynting vector), the momentum density (the Umov — Poynting vector divided by c2), and the Pitaevskii tension tensor. For a mechanically and thermally equilibrium medium, it is shown that the spatial components of the Polevoi — Rytov tensor which is discussed in the analyzed paper cannot be interpreted as the field-dependent part of the Pitaevskii total tension tensor, unless for quasimonochromatic plane wave propagation. It is also shown that for arbitrary (not necessarily zero) reflection, the force an EM wave in an isotropic medium exerts on a solid can be expressed in terms of an appropriate component of the Polevoi — Rytov tension tensor.

Fulltext pdf (263 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0181.201112n.1357
PACS: 03.30.+p, 03.50.De, 41.20.−q (all)
DOI: 10.3367/UFNe.0181.201112n.1357
URL: https://ufn.ru/en/articles/2011/12/j/
000303761500009
2011PhyU...54.1285M
Citation: Makarov V P, Rukhadze A A "Negative group velocity electromagnetic waves and the energy—momentum tensor" Phys. Usp. 54 1285–1296 (2011)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 22nd, March 2010, revised: 29th, September 2011, 4th, October 2011

Оригинал: Макаров В П, Рухадзе А А «Электромагнитные волны с отрицательной групповой скоростью и тензор энергии-импульса» УФН 181 1357–1368 (2011); DOI: 10.3367/UFNr.0181.201112n.1357

References (38) Cited by (25) ↓ Similar articles (12)

  1. Ryzhikov P S, Makarov V A Žurnal èksperimentalʹnoj I Teoretičeskoj Fiziki 165 152 (2024)
  2. Partanen M, Anghinoni B et al Phys. Rev. A 107 (2) (2023)
  3. Partanen M, Tulkki Ju Opt. Express 30 28577 (2022)
  4. Anghinoni B, Flizikowski G A S et al Annals Of Physics 443 169004 (2022)
  5. D’yachkov P N, D’yachkov E P Russ. J. Inorg. Chem. 66 367 (2021)
  6. Partanen M, Tulkki Ju Phys. Rev. A 104 (2) (2021)
  7. Davidovich M V Opt. Spectrosc. 128 1379 (2020)
  8. Makarov V P, Rukhadze A A Phys.-Usp. 62 487 (2019)
  9. Davidovich M V Phys.-Usp. 62 1173 (2019)
  10. Makarov V P, Rukhadze A A Uspekhi Fizicheskikh Nauk 189 (05) (2019)
  11. Voronin F N, Inozemtseva K K, Markov M B Math Models Comput Simul 10 407 (2018)
  12. Tsoy V I SP 18 23 (2018)
  13. Spirichev Yu A Uspekhi Fizicheskikh Nauk 188 325 (2018)
  14. Kryuchkov S I, Lanfear N A, Suslov S K Springer Proceedings In Mathematics & Statistics Vol. Analytic Number Theory, Modular Forms and q-Hypergeometric SeriesComplex Form of Classical and Quantum Electrodynamics221 Chapter 24 (2017) p. 409
  15. Bakholdin I B, Berezin A V et al Math Models Comput Simul 9 190 (2017)
  16. Volkov Yu A, Voronin F N et al KIAM Prepr. (56) 1 (2017)
  17. Nesterenko V V, Nesterenko A V 57 (3) (2016)
  18. Khokhlov Yu K Bull. Lebedev Phys. Inst. 43 49 (2016)
  19. Nesterenko V V, Nesterenko A V 57 (9) (2016)
  20. Toptygin I N, Levina K Uspekhi Fizicheskikh Nauk 186 146 (2016)
  21. Pafomov V E Bull. Lebedev Phys. Inst. 42 299 (2015)
  22. Vorobyev O B Journal Of Modern Optics 62 1323 (2015)
  23. Bethune-Waddell M, Chau K J Rep. Prog. Phys. 78 122401 (2015)
  24. Petrin A B Quantum Electron. 43 814 (2013)
  25. Mankov Yu I Phys. Solid State 55 924 (2013)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions