Wave scattering on lattice structures involving array of cracks

Abstract

Scattering of waves due to 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 specific wave-mode from single crack in a waveguide. The discrete Green's function, for the waveguide, is used to obtain semi-analytical solution for scattering problem in case of finite cracks whereas the limiting case of semi-infinite cracks is tackled by an application of Wiener--Hopf technique. Reflectance and transmittance of such an array of cracks, in terms of incident wave parameters, is analyzed. Potential applications include construction of tunable atomic scale interfaces to control energy transmission at different frequencies.

References in corpus (3)

• Control of coherent information via on chip photonic-phononic emitter-receivers
• Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization
• Continuum limit of discrete Sommerfeld problems on square lattice

Cited by in corpus (5)

• Phase recovery from phaseless scattering data for discrete Schrödinger operators
• Transmission of waves across atomic step discontinuities in discrete nanoribbon structures
• Diffraction by a set of collinear cracks on a square lattice: an iterative Wiener-Hopf method
• Wiener-Hopf factorisation on unit circle: some examples from discrete scattering
• Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem