Issues

 / 

2000

 / 

December

  

Reviews of topical problems


Dispersion of electromagnetic waves in stratified and nonstationary media (exactly solvable models)

 a, b
a Joint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
b Space Research Institute, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, Moscow, 117997, Russian Federation

The propagation and reflection of electromagnetic waves in stratified and nonstationary media are considered on the basis of a unified approach, using exact analytical solutions of Maxwell’s equations. In this approach, the spatial structure of a wave field in an inhomogeneous medium is presented as a function of the optical path length of the wave (a one-dimensional problem). These solutions predict strong dispersion of both normal and abnormal types to occur in a given medium, the magnitude of dispersion depending on the gradient and curvature of the continuous smooth profile of the material’s inhomogeneous dielectric susceptibility ε(z). The effect of such a nonlocal dispersion on the reflection of waves is described by generalized Fresnel formulas. Exactly solvable models are introduced to describe the effects of both monotonic and oscillatory ε(t) dependences on the wave dispersion due to the finite relaxation time of the dielectric constant.

Text can be downloaded in Russian. English translation is available on IOP Science.
PACS: 03.65.Ge, 03.65.Sq, 42.25.Bs, 42.25.Gy (all)
DOI: 10.1070/PU2000v043n12ABEH000827
URL: https://ufn.ru/en/articles/2000/12/b/
Citation: Shvartsburg A B "Dispersion of electromagnetic waves in stratified and nonstationary media (exactly solvable models)" Phys. Usp. 43 1201–1228 (2000)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Шварцбург А Б «Дисперсия электромагнитных волн в слоистых и нестационарных средах (точно решаемые модели)» УФН 170 1297–1324 (2000); DOI: 10.3367/UFNr.0170.200012b.1297

References (45) ↓ Cited by (28) Similar articles (20)

  1. Rayleigh J W S P. Lond. Math. Soc. 11 51 (1880)
  2. Forsterling K Ann. Phys.-Leipzig 11 1 (1931)
  3. Epstein L J J. Opt. Soc. Am. 42 806 (1952)
  4. Brekhovskikh L M, Godin O A Akustika Sloistykh Sred (Acoustics of Layered Media, Moscow: Nauka, 1989); see also Acoustics of Layered Media I, II (Berlin: Springer-Verlag, 1990-1992)
  5. Hartree D R P. Roy. Soc. Lond. A Mat. 131 428 (1931)
  6. Rydbeck O Philos. Mag. 34 342 (1943)
  7. Wait J R Electromagnetic Waves in Stratified Media (Oxford: Pergamon Press, 1970)
  8. Agranovich V M, Ginzburg V L Kristallooptika s Uchetom Prostranstvennoî Dispersii i Teoriya Eksitonov (Crystal Optics with Spatial Dispersion, and Excitons, Moscow: Nauka, 1965) [Translated into English (New York: Springer-Verlag, 1984)]
  9. Kravtsov Yu A, Orlov Yu I Geometricheskaya Optika Neodnorodnykh Sred (Geometrical Optics of Inhomogeneous Media, Moscow: Nauka, 1980) [Translated into English (Berlin: Springer-Verlag, 1990)]
  10. Mikhaîlovskiî A B Teoriya Plazmennykh Neustoîchivosteî (Theory of Plasma Instabilities) Vol. 2 Neustoîchivosti Neodnorodnoî Plazmy (Instabilities of Nonuniform Plasmas) 2nd ed. (Moscow: Atomizdat, 1977) [Translated into English: Theory of Plasma Instabilities Vol. 2 (New York: Consultants Bureau, 1974)]
  11. Averkov S I, Khronopulo Yu G Izv. Vyssh. Uchebn. Zaved. Radiofiz. (3) 818 (1960)
  12. Felsen L B, Whitham G B IEEE T. Antennas Propag. AP-18 272 (1970)
  13. Kuo S P, Zhang Y S Phys. Fluids B-Plasma 3 2906 (1991)
  14. Koretzky E, Kuo S P, Kim J J. Plasma Phys. 59 315 (1998)
  15. Shvartsburg A B Impulse Time-Domain Electromagnetics of Continuous Media (Boston: Birkhäuser, 1999)
  16. Aleshkevich V A, Peterson V K Pis’ma Zh. Eksp. Teor. Fiz. 66 323 (1997) [JETP Lett. 66 344 (1997)]
  17. Rottbrand K Z. Angew. Math. Mech. 78 321 (1998)
  18. Shvartsburg A, Petite G, Auby N J. Opt. Soc. Am. B 16 966 (1999)
  19. Shvartsburg A, Strand P, Weiland J Phys. Scripta T-82 81 (1999)
  20. Bartuch U et al. Opt. Commun. 134 49 (1997)
  21. Sankur H, Southwell W Appl. Optics 23 2770 (1984)
  22. Kildemo M, Hinderi O, Drevillon B J. Opt. Soc. Am. A 14 931 (1997)
  23. Jackson J D Classical Electrodynamics 2nd ed. (New York: Wiley, 1975)
  24. Shvartsburg A, Petite G, Hecquet P J. Opt. Soc. Am. B 17 2267 (2000)
  25. Abeles F Ann. Phys.-New York 5 596 (1950)
  26. Landau L D, Lifshitz E M Kvantovaya Mekhanika. Nerelyativistskaya Teoriya (Quantum Mechanics: Non-Relativistic Theory, Moscow: Nauka, 1989) [Translated into English (Oxford: Pergamon Press, 1977)]
  27. Whittaker E T, Watson G N A Course of Modern Analysis (Cambridge: University Press, 1927) [Translated into Russian (Moscow: Fizmatgiz, 1963)]
  28. Hellberg R, Karlsson A, Tharning P Smart Mater. Struct. 1 341 (1992)
  29. Raether H Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Berlin: Springer-Verlag, 1988)
  30. Brodin G, Lundberg J J. Plasma Phys. 46 299 (1991)
  31. Monchicourt P et al. J. Phys.-Condens. Mat. 9 5765 (1997)
  32. Chian A et al. Phys. Scripta T-60 5 (1995)
  33. Rosker M, Wise F, Tang C Phys. Rev. Lett. 57 324 (1986)
  34. Quere F et al. Appl. Phys. B 68 459 (1999)
  35. Askar’yan G A, Pogosyan V A Zh. Eksp. Teor. Fiz. 65 1(7) 117 (1973) [Sov. Phys. JETP 38 59 (1974)]
  36. Tang N, Sutherland R L J. Opt. Soc. Am. B 14 3412 (1997)
  37. Shvartsburg A B Kvantovaya Elektron. (Moscow) 25 201 (1998) [Quantum Electron. 28 193 (1998)]
  38. Ginzburg V L, Rukhadze A A Elektromagnitnye Volny v Plazme (Electromagnetic Waves in a Plasma, Moscow: Nauka, 1974)
  39. Masoliver J, Weiss G H Phys. Rev E 49 3852 (1994)
  40. Stenflo L, Shvartsburg A B, Weiland J Contrib. Plasm. Phys. 37 393 (1997)
  41. Musielak Z E, Fontenla J M, Moore R L Phys. Fluids B-Plasma 4 13 (1992)
  42. Manassah J T Opt. Lett. 17 1259 (1992)
  43. Lekner J Physica A 116 235 (1982)
  44. Snyder A, Mitchell D Electron. Lett. 9 609 (1973)
  45. Whitten W B, Barnes M D, Ramsey J M J. Opt. Soc. Am. B 14 3424 (1997)

© 1918–2019 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions