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

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