Sonic crystal lenses that obey Lensmaker's formula
arXiv:cond-mat/0312289 · doi:10.1088/0022-3727/37/15/017
Abstract
This paper presents a theoretical study of the phenomenon of acoustic imaging by sonic crystals, which are made of two-dimensional regular arrays of rigid cylinders placed in parallel in air. The scattering of acoustic waves is computed using the standard multiple scattering theory, and the band structures are computed by the plane-wave expansion method. It is shown that properly arranged arrays not only can behave as acoustic lenses, but also the focusing effect can be well described by Lensmaker's formula. Possible applications are also discussed.
4 pages, 5 figures
References in corpus (4)
- Theoretical analysis of acoustic stop bands in two-dimensional periodic scattering arrays
- Theoretical analysis of the focusing of acoustic waves by two-dimensional sonic crystals
- Theory for tailoring sonic devices: Diffraction dominates over Refraction
- Focusing of electromagnetic waves by periodic arrays of dielectric cylinders