The reflection and transmission characteristics of a grating of identical, circular elastic cylinders, arranged periodically in an elastic slab, are investigated. Use is made of a simple approach synthesized from Fourier-Bessel expansions and the T-matrix method for the analysis of a two-dimensional problem involving SH waves only. It is observed that the nonspecular modes are generally very weak for such gratings in contrast with those for gratings made of periodic bimaterial interfaces. The presented analysis may be easily extened to the case of diffraction of incident P-and/or SV-waves, and should be useful for noise control applications.

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