Optimization of the Kratky small-angle X-ray collimation system parameters

An analytic expression for the power transmitted through a Kratky small-angle X-ray scattering collimation geometry has been derived which depends on the size and position of a uniformly intense focal spot relative to the entrance slit in the width direction. Complete details on the derivation of this power expression are available from the authors. The power expression can be optimized, subject to the constraint of a predetermined and fixed minimum angle, to yield the optimum values for the collimation system parameters. This paper discusses the optimum values of the entrance and receiving slits for a given minimum angle and describes the application of these results for the entrance slit either fully or not fully illuminated. A comparison of the analytical power expression with the experimental scattered power is also given.