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

A.B. Shvartsburg^a, b
^aJoint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^bSpace Research Institute, Russian Academy of Sciences, Profsoyuznaya str. 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.

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/
Web of Science

000167166600002
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 (45) Similar articles (20) ↓

A.B. Shvartsburg “Tunneling of electromagnetic waves: paradoxes and prospects” Phys. Usp. 50 37–51 (2007)
Yu.V. Gulyaev, S.V. Tarasenko, V.G. Shavrov “Electromagnetic analogue of a first-type leaky surface elastic wave for the single interface between transparent dielectric media” Phys. Usp. 63 872–887 (2020)
L.V. Prokhorov, S.V. Shabanov “Phase space of mechanical systems with a gauge group” Sov. Phys. Usp. 34 (2) 108–140 (1991)
A.B. Shvartsburg, N.S. Erokhin “Acoustic gradient barriers (exactly solvable models)” Phys. Usp. 54 605–623 (2011)
V.L. Kuz’min, V.P. Romanov “Coherent phenomena in light scattering from disordered systems” Phys. Usp. 39 231–260 (1996)
Yu.A. Kravtsov, O.N. Naida, A.A. Fuki “Waves in weakly anisotropic 3D inhomogeneous media: quasi-isotropic approximation of geometrical optics” Phys. Usp. 39 129–154 (1996)
B.M. Bolotovskii, S.N. Stolyarov “Current status of the electrodynamics of moving media (infinite media)” Sov. Phys. Usp. 17 875–895 (1975)
M.L. Ter-Mikhaelyan “High energy electromagnetic processes in amorphous and inhomogeneous media” Phys. Usp. 46 1231–1252 (2003)
A.V. Kolpakov, V.A. Bushuev, R.N. Kuz’min “Dielectric permittivity in the x-ray region” Sov. Phys. Usp. 21 959–977 (1978)
M.I. Kaganov, N.B. Pustyl’nik, T.I. Shalaeva “Magnons, magnetic polaritons, magnetostatic waves” Phys. Usp. 40 181–224 (1997)
V.I. Klyatskin “Electromagnetic wave propagation in a randomly inhomogeneous medium as a problem in mathematical statistical physics” Phys. Usp. 47 169–186 (2004)
S.Yu. Karpov, S.N. Stolyarov “Propagation and transformation of electromagnetic waves in one-dimensional periodic structures” Phys. Usp. 36 (1) 1–22 (1993)
D.V. Skobel’tsyn “The momentum-energy tensor of the electromagnetic field” Sov. Phys. Usp. 16 381–401 (1973)
S.G. Rautian “Reflection and refraction at the boundary of a medium with negative group velocity” Phys. Usp. 51 981–988 (2008)
V.A. Kizel’ “Modern status of the theory of light reflection” Sov. Phys. Usp. 10 485–508 (1968)
A.V. Andreev “Optical superradiance: new ideas and new experiments” Sov. Phys. Usp. 33 (12) 997–1020 (1990)
Yu.V. Gulyaev, V.V. Proklov, G.N. Shkerdin “Diffraction of light by sound in solids” Sov. Phys. Usp. 21 29–57 (1978)
K.L. Koshelev, Z.F. Sadrieva et al “Bound states in the continuum in photonic structures” Phys. Usp. 66 494–517 (2023)
M.L. Ter-Mikhaelyan “Electromagnetic radiative processes in periodic media at high energies” Phys. Usp. 44 571–596 (2001)
A.G. Fokin “Macroscopic conductivity of random inhomogeneous media. Calculation methods” Phys. Usp. 39 1009–1032 (1996)

The list is formed automatically.