VIBRATIONS OF FRACTAL DRUMS

被引:105
作者
SAPOVAL, B [1 ]
GOBRON, T [1 ]
MARGOLINA, A [1 ]
机构
[1] POLYTECH INST NEW YORK,DEPT PHYS,BROOKLYN,NY 11201
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
收藏
页码:2974 / 2977
页数:4
相关论文
共 18 条
  • [11] LAPIDUS ML, 1991, T AM MATH SOC, V325, P2
  • [12] LEMEHAUTE B, 1984, ENCY APPLIED GEOLOGY, P62
  • [13] Mandelbrot B. B., 1982, FRACTAL GEOMETRY NAT, P1
  • [14] RAMMAL R, 1983, J PHYS LETT-PARIS, V44, pL13, DOI 10.1051/jphyslet:0198300440101300
  • [15] Saporal, 1989, FRACTAL APPROACH HET, P227
  • [16] EXPERIMENTAL-OBSERVATION OF LOCAL MODES IN FRACTAL DRUMS
    SAPOVAL, B
    [J]. PHYSICA D, 1989, 38 (1-3): : 296 - 298
  • [17] SAPOVAL B, 1990, FRACTALS
  • [18] SAPOVAL B, IN PRESS