VIBRATIONS OF FRACTAL DRUMS

被引：106

作者：

SAPOVAL, B ^{[1
]}

GOBRON, T ^{[1
]}

MARGOLINA, A ^{[1
]}

机构：

[1] POLYTECH INST NEW YORK,DEPT PHYS,BROOKLYN,NY 11201

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 21期

关键词：

D O I：

10.1103/PhysRevLett.67.2974

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fractal boundary conditions drastically alter wave excitations. The low-frequency vibrations of a membrane bounded by a rigid fractal contour are observed and localized modes are found. The first lower eigenmodes are computed using an analogy between the wave and the diffusion equations. The fractal frontier induces a strong confinement of the wave analogous to superlocalization. The wave forms exhibit singular derivatives near the boundary.

引用

页码：2974 / 2977

页数：4

共 18 条

[1] SUPERLOCALIZATION, CORRELATIONS AND RANDOM-WALKS ON FRACTALS [J].

AHARONY, A ;

HARRIS, AB .

PHYSICA A, 1990, 163 (01) :38-46

[2]

ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500

[3]

[Anonymous], 2007, INTRO SOLID STATE PH

[4]

Berry M. V., 1979, Structural Stability in Physics, P51

[5]

COURANT R, 1965, METHODS MATH PHYSICS

[6] LOW-FREQUENCY DYNAMICS IN SUPERIONIC BORATE GLASSES BY COUPLED RAMAN AND INELASTIC NEUTRON-SCATTERING [J].

FONTANA, A ;

ROCCA, F ;

FONTANA, MP ;

ROSI, B ;

DIANOUX, AJ .

PHYSICAL REVIEW B, 1990, 41 (06) :3778-3785

[7] X-RAY SMALL-ANGLE SCATTERING ANALYSIS OF POROUS SILICON LAYERS [J].

GOUDEAU, P ;

NAUDON, A ;

BOMCHIL, G ;

HERINO, R .

JOURNAL OF APPLIED PHYSICS, 1989, 66 (02) :625-628

[8]

GOUDEAU P, 1989, J APPL PHYS, V66, P2

[9]

JACKSON CD, 1975, CLASSICAL ELECTRODYN, P344

[10] FRACTAL DRUM, INVERSE SPECTRAL PROBLEMS FOR ELLIPTIC-OPERATORS AND A PARTIAL RESOLUTION OF THE WEYL-BERRY CONJECTURE [J].

LAPIDUS, ML .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 325 (02) :465-529

← 1 2 →