Abstract
This thesis investigates the resonant behavior in X-ray resonant cavity of sapphire by using the method of theoretical calculations based on the dynamical theory of X-ray diffraction. There are two parts in this thesis. In the first part, we build up the coordinates system using the matrix algebra and try to develop an indexing program to examine whether the diffraction ( 0 0 30 ) is a two-beam back reflection case at the photon energy of 14.3148 keV. In the second part, we use another computer program written by Dr. Yu. P. Stetsko based on the dynamic diffraction theory to deal with the resonant behavior of X-ray photons in a resonant cavity of sapphire for the (0 0 30) back reflection. By performing the calculations for reflectivity and transmissivity as a function of the photon energy, the finesse and the intensity distributions inside and outside the crystal cavity are given. Furthermore, the coordinates of the dispersion surface and the linear absorption coefficient are also calculated.