Reviews of topical problems

Fractals in wave processes

 a,  b
a Research Institute of Applied Acoustics, Dubna, Moscow Region, Russian Federation
b N.N. Andreev Acoustics Institute, Russian Academy of Sciences, ul. Shvernika 4, Moscow, 117036, Russian Federation

A review of fundamental results on fractal structure manifestation in wave processes is presented. Elastic properties and dispersion of fractal materials are discussed; their distribution density, and the shape of wave functions of their localised elastic oscillations, fractons. Examples of their application for the explanation of amorphic properties of solids are presented. Patterns of wave scattering and emission by fractal structures are examined. Principal methods of random signal analysis employed to reveal different fractal structures associated with these signals are described. Data on fractal properties of wave fields are discussed.

Fulltext is available at IOP
PACS: 47.35.+i, 47.52.+j, 47.53.+n, 61.43.Hv (all)
DOI: 10.1070/PU1995v038n04ABEH000080
Citation: Zosimov V V, Lyamshev L M "Fractals in wave processes" Phys. Usp. 38 347–384 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS) MedlineRefWorks
PT Journal Article
TI Fractals in wave processes
AU Zosimov V V
FAU Zosimov VV
AU Lyamshev L M
FAU Lyamshev LM
DP 10 Apr, 1995
TA Phys. Usp.
VI 38
IP 4
PG 347-384
RX 10.1070/PU1995v038n04ABEH000080
SO Phys. Usp. 1995 Apr 10;38(4):347-384

Оригинал: Зосимов В В, Лямшев Л М «Фракталы в волновых процессах» УФН 165 361–402 (1995); DOI: 10.3367/UFNr.0165.199504a.0361

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