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Eigenmode generation by a given current in anisotropic and gyrotropic media

 a,  b, c
a St. Petersburg State Polytechnical University, Politekhnicheskaya str. 29, St. Petersburg, 195251, Russian Federation
b Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation
c New Jersey Institute of Technology, Newark, New Jersey, USA

The theory of eigenmode generation by a given current was developed for a uniform, transparent, anisotropic and gyrotropic medium with a temporal and spatial dispersion. Different approaches were employed to determine the eigenmode dispersion relations and polarization vectors. A close interrelation was traced between the principal values and eigenvectors of the Maxwellian tensor and the properties of the linear eigenmodes of a given medium. The spectral energy density radiated in a given direction in the medium was calculated for different medium modes having different phase velocities and polarizations. Anisotropic factors were derived, which change the eigenmode radiation intensity in comparison with that for an isotropic medium with the same refractive index. Several typical examples were considered.

Fulltext pdf (257 KB)
Fulltext is also available at DOI: 10.1070/PU2008v051n04ABEH006472
PACS: 03.50.De, 41.20.Jb, 41.60.−m (all)
DOI: 10.1070/PU2008v051n04ABEH006472
URL: https://ufn.ru/en/articles/2008/4/c/
000258187900003
2-s2.0-49249100062
2008PhyU...51..363T
Citation: Toptygin I N, Fleishman G D "Eigenmode generation by a given current in anisotropic and gyrotropic media" Phys. Usp. 51 363–374 (2008)
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Оригинал: Топтыгин И Н, Флейшман Г Д «Генерация собственных мод заданным током в анизотропных и гиротропных средах» УФН 178 385–396 (2008); DOI: 10.3367/UFNr.0178.200804c.0385

References (37) ↓ Cited by (6) Similar articles (20)

  1. Ginzburg V L Zh. Eksp. Teor. Fiz. 10 601 (1940)
  2. Ginzburg V L Zh. Eksp. Teor. Fiz. 10 608 (1940)
  3. Kolomenskii A A Zh. Eksp. Teor. Fiz. 24 167 (1953)
  4. Kolomenskii A A Dokl. Akad. Nauk SSSR 106 982 (1956); Kolomenskii A A Sov. Phys. Dokl. 1 133 (1956)
  5. Eidman V Ya Zh. Eksp. Teor. Fiz. 34 131 (1958); Eidman V Ya Sov. Phys. JETP 7 91 (1958); Eidman V Ya Zh. Eksp. Teor. Fiz. 36 1335 (1959); Eidman V Ya Sov. Phys. JETP 9 947 (1959)
  6. Tsytovich V N Teoriya Turbulentnoi Plazmy (M.: Atomizdat, 1971); Translated into English, Tsytovich V N Theory Of Turbulent Plasma (New York: Consultants Bureau, 1977)
  7. Agranovich V M, Ginzburg V L Kristallooptika s Uchetom Prostranstvennoi Dispersii i Teoriya Eksitonov 2-e izd. (M.: Nauka, 1979); Translated into English, Agranovich V M, Ginzburg V L Crystal Optics With Spatial Dispersion, And Excitons (Berlin: Springer-Verlag, 1984)
  8. Ter-Mikaelyan M L Vliyanie Sredy na Elektromagnitnye Protsessy pri Vysokikh Energiyakh (Erevan: Izd-vo AH Arm. SSR, 1969); Translated into English, Ter-Mikaelian M L High-Energy Electromagnetic Processes In Condensed Media (New York: Wiley, 1972)
  9. Ter-Mikaelyan M L Usp. Fiz. Nauk 171 597 (2001); Ter-Mikhaelyan M L Phys. Usp. 44 571 (2001)
  10. Ter-Mikaelyan M L Usp. Fiz. Nauk 173 1265 (2003); Ter-Mikhaelyan M L Phys. Usp. 46 1231 (2003)
  11. Bolotovskii B M, Galst’yan E A Usp. Fiz. Nauk 170 809 (2000); Bolotovskii B M, Galst’yan E A Phys. Usp. 43 755 (2000)
  12. Akhiezer A I, Shul’ga N F Usp. Fiz. Nauk 137 561 (1982); Akhiezer A I, Shul’ga N F Sov. Phys. Usp. 25 541 (1982)
  13. Bazylev V A, Zhevago N K Izluchenie Bystrykh Chastits v Veshchestve i Vo Vneshnikh Polyakh (M.: Nauka, 1987)
  14. Baryshevskii V G Kanalirovanie, Izluchenie i Reaktsii v Kristallakh pri Vysokikh Energiyakh (Minsk: Izd-vo BGU, 1982)
  15. Akhiezer A I, Shul’ga N F Elektrodinamika Vysokikh Energii v Veshchestve (M.: Nauka, 1993); Translated into English, Akhiezer A I, Shul’ga N F High-Energy Electrodynamics In Matter (Luxembourg: Gordon and Breach, 1996)
  16. Kalashnikov N P Kogerentnye Vzaimodeistviya Zaryazhennykh Chastits v Monokristallakh (M.: Atomizdat, 1981); Translated into English, Kalashnikov N P Coherent Interactions Of Charged Particles In Single Crystals (Chur: Harwood Acad. Publ., 1988)
  17. Bekefi G Radiation Processes In Plasma S (New York: Wiley, 1966); Bekefi Dzh Radiatsionnye Protsessy v Plazme (M.: Mir, 1971)
  18. Baier V N, Katkov V M, Fadin V S Izluchenie Relyativistskikh Elektronov (M.: Atomizdat, 1973)
  19. Akhiezer A I Elektrodinamika Plazmy (Pod red. A I Akhiezera) (M.: Nauka, 1974)
  20. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982); Translated into English, Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Pergamon Press, 1984)
  21. Ginzburg V L Teoreticheskaya Fizika i Astrofizika. Dopolnitel’nye Glavy 3-e izd. (M.: Nauka, 1987); Translated into English, Ginzburg V L Applications Of Electrodynamics In Theoretical Physics And Astrophysics 2nd ed. (New York: Gordon and Breach Sci. Publ., 1989)
  22. Jackson J D Classical Electrodynamics 3rd ed. (New York: Wiley, 1999)
  23. Bredov M M, Rumyantsev V V, Toptygin I N Klassicheskaya Elektrodinamika (M.: Nauka, 1985)
  24. Toptygin I N Sovremennaya Elektrodinamika Ch. 2 Teoriya Elektromagnitnykh Yavlenii v Veshchestve (M.-Izhevsk: RKhD, 2005)
  25. Pustovalov V V, Silin V P Tr. FIAN SSSR 61 42 (1972)
  26. Kochin N E Vektornoe Ischislenie i Nachala Tenzornogo Ischisleniya (M.: Izd-vo AN SSSR, 1961)
  27. Kurosh A G Kurs Vysshei Algebry (M.: Nauka, 1968); Translated into English, Kurosh A G Higher Algebra (Moscow: Mir Publ., 1972)
  28. Beklemishev D V Kurs Analiticheskoi Geometrii i Lineinoi Algebry (M.: Nauka, 1974)
  29. Gantmakher F R Teoriya Matrits (M.: Nauka, 1988); Gantmakher F R Applications Of The Theory Of Matrices (Mineola, NY: Dover Publ., 2005)
  30. Born M, Wolf E Principles Of Optics (Oxford: Pergamon Press, 1969); Born M, Vol’f E Osnovy Optiki (M.: Nauka, 1970)
  31. Fleishman G D Stokhasticheskaya Teoriya Izlucheniya (M.-Izhevsk: Inst. komp’yut. issled., 2007)
  32. Ivchenko E L "Spatial dispersion effects in the exciton resonance region" Excitons (Modern Problems in Condensed Matter Sciences, Vol. 2, Eds E I Rashba, M D Sturge) (Amsterdam: North-Holland, 1982)
  33. Platonov K Yu, Fleishman G D Usp. Fiz. Nauk 172 241 (2002); Platonov K Yu, Fleishman G D Phys. Usp. 45 235 (2002)
  34. Ginzburg V L, Tsytovich V N Perekhodnoe Izluchenie i Perekhodnoe Rasseyanie (M.: Nauka, 1984); Translated into English, Ginzburg V L, Tsytovich V N Transition Radiation And Transition Scattering (Bristol: A. Hilger, 1990)
  35. Amus’ya M Ya i dr. Polyarizatsionnoe Tormoznoe Izluchenie Chastits i Atomov (Otv. red. V N Tsytovich, I M Oiringel’) (M.: Nauka, 1987)
  36. Amus’ya M Ya Tormoznoe Izluchenie (M.: Energoatomizdat, 1990)
  37. Korol’ A V, Lyalin A G, Solov’ev A V Polyarizatsionnoe Tormoznoe Izluchenie (SPb.: Izd-vo SPbGPU, 2004)
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