Wave scattering on lattice structures involving an array of cracks
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Published on: September 26, 2014
Gaurav Maurya1, Basant Lal Sharma1
1Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, India.
Abstract:
Scattering of waves as a result of a vertical array of equally spaced cracks on a square lattice is studied. The convenience of Floquet periodicity reduces the study to that of scattering of a specific wave-mode from a single crack in a waveguide. The discrete Green's function, for the waveguide, is used to obtain the semi-analytical solution for the scattering problem in the case of finite cracks whereas the limiting case of semi-infinite cracks is tackled by an application of the Wiener-Hopf technique. Reflectance and transmittance of such an array of cracks, in terms of incident wave parameters, is analysed. Potential applications include construction of tunable atomic-scale interfaces to control energy transmission at different frequencies.
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