Journal article

Localizations in fractal drums: An experimental study


Authors listEven, C; Russ, S; Repain, V; Pieranski, P; Sapoval, B

Publication year1999

Pages726-729

JournalPhysical Review Letters

Volume number83

Issue number4

ISSN0031-9007

DOI Linkhttps://doi.org/10.1103/PhysRevLett.83.726

PublisherAmerican Physical Society


Abstract
The low-frequency eigenmodes of a fractal drum are studied through experimental observation of the acoustical resonances of a fractal-shaped liquid crystal film. The resonance frequencies agree with the numerical predictions far the Laplacian eigenvalues in the fractal domain with Dirichlet boundary conditions. The amplitude distribution of the modes is detected by scanning the excitation position. Several modes are found to be localized in agreement with numerical predictions. Two types of localization related to "strong" and "weak" localization mechanisms are observed in this system. This Letter presents the first direct experimental study of localized modes in fractal geometries.



Citation Styles

Harvard Citation styleEven, C., Russ, S., Repain, V., Pieranski, P. and Sapoval, B. (1999) Localizations in fractal drums: An experimental study, Physical Review Letters, 83(4), pp. 726-729. https://doi.org/10.1103/PhysRevLett.83.726

APA Citation styleEven, C., Russ, S., Repain, V., Pieranski, P., & Sapoval, B. (1999). Localizations in fractal drums: An experimental study. Physical Review Letters. 83(4), 726-729. https://doi.org/10.1103/PhysRevLett.83.726



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