Issues

 / 

2010

 / 

August

  

Methodological notes


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.

Fulltext pdf (164 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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. Fok V A Problemy Difraktsii i Rasprostraneniya Elektromagnitnykh Voln 2-e izd. (M.: LKI, 2007) p. 20
  2. Vainshtein L A Elektromagnitnye Volny 2-e izd. (M.: Radio i svyaz’, 1988) p. 16, 295 - 297, 386
  3. Schelkunoff S A Phys. Rev. 56 308 (1939)
  4. Smythe W R Phys. Rev. 72 1066 (1947)
  5. Smythe W R Static And Dynamic Electricity (New York: McGraw-Hill, 1939); Smait V Elektrostatika i Elektrodinamika (M.: IL, 1954) p. 486-488
  6. Stratton J A Electromagnetic Theory (New York: McGraw-Hill, 1941); Stretton Dzh A Teoriya Elektromagnetizma (M. - L.: Gostekhizdat, 1948) p. 409-414
  7. Jackson J D Classical Electrodynamics (New York: Wiley, 1962); Dzhekson Dzh Klassicheskaya Elektrodinamika (M.: Mir, 1965) p. 313-322
  8. Drezet A, Woehl J C, Huant S J. Math. Phys. 47 072901 (2006)
  9. Frank I M Pamyati Sergeya Ivanovicha Vavilova (M. - L.: Izd-vo AN SSSR, 1952) p. 173
  10. Bolotovskii B M Usp. Fiz. Nauk 62 201 (1957)
  11. Ginzburg V L Teoreticheskaya Fizika i Astrofizika. Dopolnitel’nye Glavy (M.: Nauka, 1981) p. 160; Ginzburg V L Applications Of Electrodynamics In Theoretical Physics And Astrophysics (New York: Gordon and Breach, 1989)
  12. Frank I M Usp. Fiz. Nauk 144 251 (1984); Frank I M Sov. Phys. Usp. 27 772 (1984)
  13. Tamm I E Osnovy Teorii Elektrichestva 10-e izd. (M.: Nauka, 1989) p. 57, 201, 487; Tamm I E Fundamentals Of The Theory Of Electricity (Moscow: Mir Publ., 1979)
  14. Bordovitsyn V A, Razina G K Izv. Vuzov. Fizika 24 120 (1981)
  15. Bordovitsyn V A, Gushchina V S, Zhukova I N Izv. Vuzov. Fizika 36 60 (1993); Bordovitsyn V A, Gushchina V S, Zhukova I N Russ. Phys. J. 36 148 (1993)
  16. Bagrov V G i dr. Teoriya Izlucheniya Relyativistskikh Chastits (Pod red. V A Bordovitsyna) (M.: Fizmatlit, 2002) p. 96, 215, 222
  17. Batygin V V, Toptygin I N Sovremennaya Elektrodinamika Vol. 1 (M. - Izhevsk: RKhD, 2005) p. 509
  18. Shkvarunets A G, Fiorito R B Phys. Rev. ST Accel. Beams 11 012801 (2008)
  19. Karlovets D V, Potylitsyn A P Zh. Eksp. Teor. Fiz. 134 887 (2008); Karlovets D V, Potylitsyn A P JETP 107 755 (2008)
  20. Karlovets D V, Potylitsyn A P Phys. Lett. A 373 1988 (2009)
  21. de Groot S R, Suttorp L G Foundations Of Electrodynamics (Amsterdam: Norh-Holland, 1972); de Groot S R, Sattorp L G Elektrodinamika (M.: Nauka, 1982) p. 132, 136
  22. Khachatryan B V Izv. AN Arm. SSR 18 133 (1965)
  23. Cullen J A Phys. Rev. 109 1863 (1958)
  24. Niz’ev V G Usp. Fiz. Nauk 172 601 (2002); Niz’ev V G Phys. Usp. 45 553 (2002)
  25. Nesterov A V, Niziev V G Phys. Rev. E 71 046608 (2005)
  26. Mignani R Phys. Rev. D 13 2437 (1976)
  27. Kazantsev A P, Surdutovich G I Dokl. Akad. Nauk SSSR 147 74 (1962); Kazantsev A P, Surdutovich G I Sov. Phys. Dokl. 7 990 (1962)
  28. Sedrakyan D M Izv. AN Arm. SSR 17 113 (1964)
  29. Ryazanov M I, Tilinin I S Zh. Eksp. Teor. Fiz. 71 2078 (1976); Ryazanov M I, Tilinin I S Sov. Phys. JETP 44 1092 (1976)

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