Methods of direct tensor computation are introduced for the solution of the system of vector equations of the dynamic theory of diffraction for the first time. A covariant representation of the dynamic coefficients is given for the dynamic coefficients for various multipolar Mossbauer transitions in the presence of hyperfine splitting. In the two-wave case, a general solution is given for the scalar interaction and also for an individual Zeeman component of the Mossbauer spectrum. It is shown that, in the latter case, a suppression effect is possible for radiation of any multipolarity. The need to take account of refraction effects is noted in calculating the dynamic coefficients in the limiting asymmetric case of diffraction in the presence of an interaction of tensor type.
Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia