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, 119942, Russian Federation
b Lomonosov Moscow State University, Department 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 is available at IOP
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/
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 (18) Similar articles (12) ↓

  1. V.G. Veselago, V.V. Shchavlev “On the relativistic invariance of the Minkowski and Abraham energy-momentum tensors53 317–318 (2010)
  2. G.B. Malykin, V.I. Pozdnyakova “Supplement to the paper "Quadratic Sagnac effect — the influence of the gravitational potential of the Coriolis force on the phase difference between the arms of a rotating Michelson interferometer (an explanation of D C Miller's experimental results, 1921—1926)" (Usp. Fiz. Nauk 185 431 (2015) [Phys. Usp. 58 398 (2015)])58 828–829 (2015)
  3. G.B. Malykin, V.I. Pozdnyakova “On inconsistencies in the work of P Maraner (reply to comment [Usp. Fiz. Nauk 186 793 2016] to the paper "Quadratic Sagnac effect — the influence of gravitational potential of Coriolis force on the phase difference between the arms of a rotating Michelson interferometer (an explanation of D C Miller's experimental results, 1921—1926)" (Usp. Fiz. Nauk 185 431 (2015) [Phys. Usp. 58 398 (2015)])59 719–721 (2016)
  4. A.V. Shepelev “Cosmic microwave background and the Aristotelian ideas of motion48 95–96 (2005)
  5. E. Varoquaux, G. Varoquaux “Sagnac effect in superfluid liquids51 205–208 (2008)
  6. P. Maraner “On the phase shift in a uniformly rotating Michelson interferometer (comment on "Quadratic Sagnac effect — the influence of the gravitational potential of the Coriolis force on the phase difference between the arms of a rotating Michelson interferometer (an explanation of D C Miller's experimental results 1921—1926)" by G B Malykin and V I Pozdnyakova [Phys. Usp. 58 398 (2015); Usp. Fiz. Nauk 185 431 (2015)])59 716–718 (2016)
  7. G.B. Malykin “On the possibility of experimental verifying the second postulate of special relativity47 739–742 (2004)
  8. G.B. Malykin “Sagnac effect in a rotating frame of reference. Relativistic Zeno paradox45 907–909 (2002)
  9. R.I. Khrapko “What is mass?43 1267–1270 (2000)
  10. L.B. Okun “Reply to the letter ’What is mass?’ by R I Khrapko43 1270–1275 (2000)
  11. E.A. Arinstein “Relation between energy conservation and dynamics (Comment on "Analytical mechanics and field theory: derivation of equations from energy conservation" by N.A. Vinokurov (Usp. Fiz. Nauk 184 641 (2014) [Phys. Usp. 57 593 (2014)]))58 309–310 (2015)
  12. G.K. Avetisyan “On the stimulated Cherenkov effect40 755–760 (1997)

The list is formed automatically.

© 1918–2021 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions