The effects of dislocations upon positron-channelling in a periodically bent crystal were studied. This began with a unified treatment of the longitudinal and transverse motions of the particle. The Schrödinger equation was then separated into longitudinal and transverse motions. The variations in effective potential and frequency in the various regions of dislocation-affected channels were found. The wave-functions of positrons channelled in the perfect and dislocation-affected channels were found, and the channelling and de-channelling probabilities were calculated. The angular and spectral distributions of radiation intensity were calculated, and compared with those of normal channelling. The calculations were carried out using various values of dislocation density and undulator wavelength.

Effects of Dislocations on Channelling Radiation from a Periodically Bent Crystal. J.George, A.P.Pathak, A.V.Solovyov: Journal of Physics - Condensed Matter, 2009, 21[24], 245402