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. A.B. Shvartsburg “Tunneling of electromagnetic waves: paradoxes and prospects50 37–51 (2007)
  2. Yu.V. Gulyaev, S.V. Tarasenko, V.G. Shavrov “Electromagnetic analogue of a first-type leaky surface elastic wave for the single interface between trans-parent dielectric media”, accepted
  3. L.V. Prokhorov, S.V. Shabanov “Phase space of mechanical systems with a gauge group34 (2) 108–140 (1991)
  4. A.B. Shvartsburg, N.S. Erokhin “Acoustic gradient barriers (exactly solvable models)54 605–623 (2011)
  5. V.L. Kuz’min, V.P. Romanov “Coherent phenomena in light scattering from disordered systems39 231–260 (1996)
  6. Yu.A. Kravtsov, O.N. Naida, A.A. Fuki “Waves in weakly anisotropic 3D inhomogeneous media: quasi-isotropic approximation of geometrical optics39 129–154 (1996)
  7. M.L. Ter-Mikhaelyan “High energy electromagnetic processes in amorphous and inhomogeneous media46 1231–1252 (2003)
  8. A.V. Kolpakov, V.A. Bushuev, R.N. Kuz’min “Dielectric permittivity in the x-ray region21 959–977 (1978)
  9. M.I. Kaganov, N.B. Pustyl’nik, T.I. Shalaeva “Magnons, magnetic polaritons, magnetostatic waves40 181–224 (1997)
  10. V.I. Klyatskin “Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics47 169–186 (2004)
  11. S.Yu. Karpov, S.N. Stolyarov “Propagation and transformation of electromagnetic waves in one-dimensional periodic structures36 (1) 1–22 (1993)
  12. S.G. Rautian “Reflection and refraction at the boundary of a medium with negative group velocity51 981–988 (2008)
  13. V.A. Kizel’ “Modern status of the theory of light reflection10 485–508 (1968)
  14. Yu.V. Gulyaev, V.V. Proklov, G.N. Shkerdin “Diffraction of light by sound in solids21 29–57 (1978)
  15. B.M. Bolotovskii, S.N. Stolyarov “Current status of the electrodynamics of moving media (infinite media)18 875–895 (1975)
  16. D.V. Skobel’tsyn “The momentum-energy tensor of the electromagnetic field16 381–401 (1973)
  17. M.L. Ter-Mikhaelyan “Electromagnetic radiative processes in periodic media at high energies44 571–596 (2001)
  18. A.G. Fokin “Macroscopic conductivity of random inhomogeneous media. Calculation methods39 1009–1032 (1996)
  19. A.V. Andreev “Optical superradiance: new ideas and new experiments33 (12) 997–1020 (1990)
  20. D.A. Kirzhnits “General properties of electromagnetic response functions30 575–587 (1987)

The list is formed automatically.

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