Scattering of Lattice Waves by a Line Defect

Abstract

The scattering of lattice waves by a line defect in a simple cubic lattice is investigated by means of Green’s function method. This line defect consists of a line of substitutional impurity atoms. When a perturbation due to the line defect is small, the scattering of lattice waves follows the Rayleigh law and its cross section is nearly equal to Klemens’ result. But, as the perturbation is increased, an elastic resonance scattering occurs. The effect of the resonance scattering on the total scattering cross section is calculated numerically for a line of isotopic impurity atoms and for a line of holes. A strong resonance does not occur for these line defects.