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Scattering of waves due to a vertical array of equally-spaced cracks on asquare lattice is studied. The convenience of Floquet periodicity reduces thestudy to that of scattering of specific wave-mode from single crack in awaveguide. The discrete Green's function, for the waveguide, is used to obtainsemi-analytical solution for scattering problem in case of finite crackswhereas the limiting case of semi-infinite cracks is tackled by an applicationof Wiener--Hopf technique. Reflectance and transmittance of such an array ofcracks, in terms of incident wave parameters, is analyzed. Potentialapplications include construction of tunable atomic scale interfaces to controlenergy transmission at different frequencies.

Wave scattering on lattice structures involving array of cracks