
TY  - JOUR
A1  - Davis, TJ 
T1  - Imperfect Crystals and Dynamical X-ray Diffraction in the Complex Reflectance Plane
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1991
VL  - 44
IS  - 6
SP  - 693
EP  - 704
KW  - 
UR  - https://doi.org/10.1071/PH910693 
N2  - A theoretical framework is developed to describe the dynamical diffraction of X-rays in perfect and imperfect crystals. The propagation of the X-ray beam inside the crystal is described by the evolution of a set of trajectories in the complex reflectance plane. The trajectory path is determined from a form of the Takagi-Taupin equations and leads naturally to simple forms for the crystal reflectivity for perfect crystals. A stochastic model for the effects of crystal defects is developed in terms of the Langevin equation which leads to a description of diffraction from imperfect crystals as the evolution of densities in a parameter space, described by a Fokker-Planck equation. 
ER  -

