Pattern formation of elastic waves and energy localization due to elastic gratings

• Numerical simulation of diffraction on elastic diffraction gratings is performed.
• The emergence of the self-imaging wave pattern is demonstrated.
• The variation of wave lengths influences significantly the emerged pattern.
• Energy localization in the middle of slits is observed for high contrast materials.

Elastic wave propagation through diffraction gratings is studied numerically in the plane strain setting. The interaction of the waves with periodically ordered elastic inclusions leads to a self-imaging Talbot effect for the wavelength equal or close to the grating size. The energy localization is observed at the vicinity of inclusions in the case of elastic gratings. Such a localization is absent in the case of rigid gratings.