title: Acoustic waveguiding by pliable conduits with axial cross sections as linear waveguides in two-dimensional sonic crystals.
abstract: Pliable conduits composed of periodically arranged concentric aluminum tori in air, with their axial cross sections acting as linear waveguides in two-dimensional sonic crystals, are numerically shown to guide acoustic waves in three dimensions in a flexible manner. Waveguide band structures are obtained by exploiting axial symmetry in a super-cell approach through two-dimensional finite-element simulations under the periodic boundary conditions. One isolated band having a bandwidth of 19.66% or 10.10% is observed for each guide, whose cross section is either in square or triangular geometry, respectively. Corresponding mode profiles indicate efficient guiding, as the acoustic energy is mainly concentrated in the hollow-core region of the guides. Transmittance spectra calculated through finite-element simulations are in agreement with the computed guiding bands. Transmittance along the waveguides with square and triangular axial cross sections around mid-band frequencies of their guiding bands varies slightly from -6.05 and -6.65 dB to -5.98 and -8.86 dB, respectively, as the guide length is increased from 10 to 200 periods. Efficient guiding across the smooth bends over circular arcs up to 90 deg is also demonstrated through three-dimensional finite-element method simulations.
authors.affiliation: Department of Physics, Faculty of Arts and Sciences, Mehmet Akif Ersoy University, Campus 15100, Burdur/Turkey.
authors.forename: Ahmet
authors.initials: A
authors.lastname: Cicek
authors.forename: Olgun Adem
authors.initials: OA
authors.lastname: Kaya
authors.forename: Bulent
authors.initials: B
authors.lastname: Ulug
mesh_terms: D000162:Acoustics / Q000295:instrumentation*; D000535:Aluminum / Q000737:chemistry; D003198:Computer Simulation; D003460:Crystallization; D004548:Elasticity; D004867:Equipment Design; D020342:Finite Element Analysis; D016014:Linear Models; D009038:Motion; D009716:Numerical Analysis, Computer-Assisted; D013016:Sound; D013997:Time Factors
chemical_list: D000535:Aluminum