Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays

Abstract

This paper presents a theoretical analysis of the recently reported observation of acoustic stop bands in two-dimensional scattering arrays (Robertson and Rudy, J. Acoust. Soc. Am. {\bf 104}, 694, 1998). A self-consistent wave scattering theory, incorporating all orders of multiple scattering, is used to obtain the wave transmission. The band structures for the regular arrays of cylinders are computed using the plane wave expansion method. The theoretical results compare favorably with the experimental data.

18 pages, 4 pages

Cited by in corpus (14)

• Enhancement of sound in chirped sonic crystals
• Theoretical analysis of the focusing of acoustic waves by two-dimensional sonic crystals
• Tunable wideband bandstop acoustic filter based on 2D multi-physical phenomena periodic systems
• Water wave propagation and scattering over topographical bottoms
• Graded negative index lens with designable focal length by phononic crystal
• Localization of classical waves in two dimensional random media: A comparison between the analytic theory and exact numerical simulation
• Theoretical and experimental evidence of level repulsion states and evanescent modes in sonic crystal stubbed waveguides
• Sonic crystal lenses that obey Lensmaker's formula
• Level repulsion and evanescent waves in sonic crystals
• Splitting of self-collimated beams in two-dimensional sonic crystals
• Analytical model to predict the effect of a finite impedance surface on the propagation properties of a 2D Sonic Crystal
• Propagation inhibition and wave localization in a 2D random liquid medium
• Normal incidence sound insulation provided by Sonic Crystal Acoustic Screens made from rigid scatterers, assessment of different simulation methods
• Analysis of the wave propagation properties of a periodic array of rigid cylinders perpendicular to a finite impedance surface