Volume 92, Number 2, October 2010
|Number of page(s)||4|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||15 November 2010|
Overlapping of acoustic bandgaps using fractal geometries
Departamento de Física Aplicada, Universidad Politécnica de Valencia - Camino de Vera s/n, 46022 Valencia, Spain, EU
2 Instituto de Ciencia de Materiales, CSIC - Sor Juana Inés de la Cruz, 3, Cantoblanco, 28049 Madrid, Spain, EU
3 Centro de Tecnologías Físicas: A.M.A., Universidad Politécnica de Valencia - Camino de Vera s/n, 46022 Valencia, Spain, EU
4 Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia - Camino de Vera s/n, 46022 Valencia, Spain, EU
Accepted: 11 October 2010
The transmission of acoustic waves in a fractal distribution of rigid scatterers embedded in air is reported in this work. The Sierpinsky fractal is used to produce a compact small device containing several periodicities, therefore the fractal distribution contains several finite sonic crystals. The attenuation band produced by the fractal distribution results from the sum of the Bragg peaks of each periodicity. On the other hand, bandgaps of sonic crystal depend on the well-known filling fraction, thus the radii of the scatterers in the fractal distribution has been optimized using genetic algorithm in order to overlap the bandgaps of each periodicity obtaining a wide and full attenuation band.
PACS: 43.20.+g – General linear acoustics / 43.35.+d – Ultrasonics, quantum acoustics, and physical effects of sound
© EPLA, 2010
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