Scattering theory for crystal dislocations

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Abstract
Standard techniques for point scattering centres are extended to the case of scattering by a straight line defect of arbitrary type in a crystal of arbitrary bandstructure. The formulation takes explicit account of point symmetry elements of the defect and utilizes a nonperturbative phaseshift approach. The main aim is to facilitate the study of resonance scattering phenomena associated with dislocations. The qualitative effect of interband scattering on the resonance cross section is clarified as is the effect of the long-range strain field.