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