The layered multiple scattering method is derived from an approximate solution for infinite gratings. In this method, an array of regularly arranged scatterers is viewed as comprising of layers of infinite grating, and scattering of waves is treated as a multiple transmission-reflection process in a multilayer panel. The infinity nature enables the waves due to a planar incident wave to be expressed as planar waves and divided into propagating and evanescent modes. The layered multiple scattering method accounts only for the propagating modes. In this paper, this method is evaluated by comparing with exact solutions obtained by other means. The layered multiple-scattering method suggests that the only important geometric parameters for wave transmission and reflection are the grating distance and the interlayer distance. Numerical examples indicate that the method provides excellent approximate solution in general, but the errors due to evanescent modes might be significant in some aspect of wave propagation, due to interlayer interactions, such as critical frequencies of a stopband.

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