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Physics-Uspekhi Volume 43 Number 12 Create an alert RSS this journal

Aleksandr B Shvartsburg 2000 Phys.-Usp. 43 1201 doi:10.1070/PU2000v043n12ABEH000827

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

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Aleksandr B Shvartsburg1

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REVIEWS OF TOPICAL PROBLEMS

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

42.25.Gy Edge and boundary effects; reflection and refraction

03.65.Sq Semiclassical theories and applications

42.25.Bs Wave propagation, transmission and absorption

03.65.Ge Solutions of wave equations: bound states

Subjects

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 12 (2000)



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