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On dual representation in classical electrodynamics


National Research Tomsk Polytechnic University, prosp. Lenina 30, Tomsk, 634050, Russian Federation

A discussion is given of the use of the dual representation in solving multipole radiation and electromagnetic wave diffraction problems in classical electrodynamics. In the method discussed, actual electric field sources are replaced by “magnetic” ones. It is shown that despite the absence of Dirac magnetic monopoles, such formalism allows for a physical interpretation of some often-used methods.

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Fulltext is also available at DOI: 10.3367/UFNe.0180.201008e.0851
PACS: 41.60.−m, 41.20.−q, 42.25.Fx (all)
DOI: 10.3367/UFNe.0180.201008e.0851
URL: https://ufn.ru/en/articles/2010/8/e/
000284266400005
2-s2.0-78649594230
2010PhyU...53..817K
Citation: Karlovets D V "On dual representation in classical electrodynamics" Phys. Usp. 53 817–824 (2010)
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Оригинал: Карловец Д В «О дуальном представлении в классической электродинамике» УФН 180 851–858 (2010); DOI: 10.3367/UFNr.0180.201008e.0851

References (29) Cited by (1) Similar articles (20) ↓

  1. A.P. Potylitsyn, D.Yu. Sergeeva et alDiffraction radiation from a charge as radiation from a superluminal source in a vacuumPhys. Usp. 63 303–308 (2020)
  2. V.G. Niz’ev “Dipole-wave theory of electromagnetic diffractionPhys. Usp. 45 553–559 (2002)
  3. B.M. Bolotovskii, S.N. Stolyarov “Radiation from and energy loss by charged particles in moving mediaSov. Phys. Usp. 35 (2) 143–150 (1992)
  4. V.A. Bordovitsyn, I.M. Ternov, V.G. Bagrov “Spin lightPhys. Usp. 38 1037–1047 (1995)
  5. B.M. Bolotovskii, S.N. Stolyarov “Law of conservation of energy for the electromagnetic field as applied to radiation by moving charged particlesSov. Phys. Usp. 35 (3) 248–254 (1992)
  6. V.B. Morozov “On the question of the electromagnetic momentum of a charged bodyPhys. Usp. 54 371–374 (2011)
  7. A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiationPhys. Usp. 58 819–827 (2015)
  8. V.S. Malyshevsky “Is it possible to measure the electromagnetic radiation of an instantly started charge?Phys. Usp. 60 1294–1301 (2017)
  9. N.N. Rosanov, R.M. Arkhipov, M.V. Arkhipov “On laws of conservation in electrodynamics of continuous media (on the occasion of the 100th anniversary of the S.I. Vavilov State Optical Institute)Phys. Usp. 61 1227–1233 (2018)
  10. B.M. Bolotovskii, A.V. Serov “On the force line representation of radiation fieldsPhys. Usp. 40 1055–1059 (1997)
  11. M.V. Davidovich “On energy and momentum conservation laws for an electromagnetic field in a medium or at diffraction on a conducting platePhys. Usp. 53 595–609 (2010)
  12. N.N. Rozanov “Superluminal localized structures of electromagnetic radiationPhys. Usp. 48 167–171 (2005)
  13. A.A. Golubkov, V.A. Makarov “Boundary conditions for electromagnetic field on the surface of media with weak spatial dispersionPhys. Usp. 38 325–332 (1995)
  14. I.Ya. Brusin “A topological approach to the determination of macroscopic field vectorsSov. Phys. Usp. 30 60–63 (1987)
  15. L.A. Apresyan, Yu.A. Kravtsov “Photometry and coherence: wave aspects of the theory of radiation transportSov. Phys. Usp. 27 301–313 (1984)
  16. V.P. Makarov, A.A. Rukhadze “Force acting on a substance in an electromagnetic fieldPhys. Usp. 52 937–943 (2009)
  17. I.N. Toptygin, K. Levina “Energy—momentum tensor of the electromagnetic field in dispersive mediaPhys. Usp. 59 141–152 (2016)
  18. V.I. Ritus “Finite value of the bare charge and the relation of the fine structure constant ratio for physical and bare charges to zero-point oscillations of the electromagnetic field in a vacuumPhys. Usp. 65 468–486 (2022)
  19. V.N. Tsytovich “Collective effects of plasma particles in bremsstrahlungPhys. Usp. 38 87–108 (1995)
  20. E.H. Lock, S.V. Gerus, A.V. Sadovnikov “Superresolution effect and resolvability criterion for the waves in anisotropic mediaPhys. Usp. 69 375–391 (2026)

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