Theory of X-ray grazing incidence reflection in the presence of nuclear resonance excitation

The dynamical theory of nuclear resonant diffraction is applied to the case of grazing incidence reflection. The solution of the dynamical equations i s obtained by evaluation of a matrix exponential. This formalism is applied to grazing incidence reflection from arbitrary stratified media. However, the basic formalism is not restricted to this case, but can be used to desc ribe a wide range of diffraction phenomena. This is demonstrated in the cas e of grazing incidence diffraction from gratings in the n-beam case. Moreov er, the theory is extended to describe the influence of surface and boundar y roughness.