Theoretical analysis of high-energy-resolution x-ray optics, such as backscattering and four-bounce monochromators and analyzers, has been carried out using computer modeling within the framework of the dynamical theory of x-ray diffraction. This analysis identifies several important techniques for the precise alignment and determination of the energy and bandwidth of the monochromators. The destructive contribution of multiple-wave diffraction to the scattering intensity of x-ray backscattering optics has also been analyzed in details. An important method has been identified which allows this destructive contribution to be avoided.