A biperiodic interfacial pattern of misfit dislocation interacting with both free surfaces of a thin bicrystalline sandwich

Abstract

The elastic field, of a thin bicrystalline sandwich with parallel faces when the interface between the two anisotropic crystal components is parallel to the faces and is composed of a biperiodic pattern of defects is numerically computed, using a double Fourier series method, an explicit formulation of each harmonic term of series is derived that depends explicitly on the anisotropic elasticity coefficients and thickness of each crystal. Application is made to the particular case of intrinsic dislocation meshes using a InAs/( 1 1 1 )GaAs related system by a regular array of MDS at the interface, cf. J.G. Belk et al., Phys. Rev. Lett. 77 (1997) 475 and H. Yamaguchi et al., Phys. Rev. B 55 (1997) 1337, to determine free surface deformations through different thickness of the bicrystal. Graphic