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

Abstract

The dynamical theory of nuclear resonant diffraction is applied to the case of grazing incidence reflection. The solution of the dynamical equations is 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 describe a wide range of diffraction phenomena. This is demonstrated in the case of grazing incidence diffraction from gratings in the n-beam case. Moreover, the theory is extended to describe the influence of surface and boundary roughness.