IRREGULAR AND FRACTAL RESONATORS WITH NEUMANN BOUNDARY-CONDITIONS - DENSITY-OF-STATES AND LOCALIZATION

Authors
RUSS S SAPOVAL B HAEBERLE O
Citation
S. Russ et al., IRREGULAR AND FRACTAL RESONATORS WITH NEUMANN BOUNDARY-CONDITIONS - DENSITY-OF-STATES AND LOCALIZATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(2), 1997, pp. 1413-1421
Citations number
32
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
2
Year of publication
1997
Pages
1413 - 1421
Database
ISI
SICI code
1063-651X(1997)55:2<1413:IAFRWN>2.0.ZU;2-W
Abstract
Vibrations of two-dimensional systems with free irregular or fractal b oundaries are studied on specific examples. The eigenmodes are calcula ted numerically using an analogy between Helmholtz and diffusion equat ions. We discuss the influence of the fractal boundary on the low-freq uency part of the spectrum and on wave forms. The density of states is increased by the irregularity and exhibits oscillations at special fr equencies which depend on the geometry. Surprisingly, many states are found to be confined at the fractal boundary. Increasing the perimeter fractality induces increased confinement.