Complete transmission through a periodically perforated rigid slab
Document Type
Article
Publication Date
6-11-2007
Abstract
The propagation of a normally incident plane acoustic wave through a three-dimensional rigid slab with periodically placed holes is modeled and analyzed. The spacing of the holes A and B, the wavelength λ, and the thickness of the slab L are order one parameters compared to the characteristic size D of the holes, which is a small quantity. Scattering matrix techniques are used to derive expressions for the transmission and reflection coefficients of the lowest mode. These expressions depend only on the transmission coefficient, τ0, of an infinitely long slab with the same configuration. The determination of τ0 requires the solution of an infinite set of algebraic equations. These equations are approximately solved by exploiting the small parameter D/√AB. Remarkably, this structure is transparent at certain frequencies and opaque for all others. Such a structure may be useful in constructing narrow-band filters and resonators. © 2007 Acoustical Society of America.
Identifier
34249911997 (Scopus)
Publication Title
Journal of the Acoustical Society of America
External Full Text Location
https://doi.org/10.1121/1.2721878
ISSN
00014966
PubMed ID
17552681
First Page
3288
Last Page
3299
Issue
6
Volume
121
Recommended Citation
Zhou, Lin and Kriegsmann, Gregory A., "Complete transmission through a periodically perforated rigid slab" (2007). Faculty Publications. 13418.
https://digitalcommons.njit.edu/fac_pubs/13418