Ve. Levashov et Av. Vinogradov, ANALYTICAL THEORY OF ZONE-PLATE EFFICIENCY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(6), 1994, pp. 5797-5803
The theory is developed which enables us to derive explicit formulas f
or the efficiency of thick zone plates. The theory employs the method
of coupled wave equations. The solutions obtained can be applied to th
e large class of zone plates and diffraction structures which are loca
lly equivalent to sliced multilayers. Based on this theory we find lim
its to the diffraction efficiency of zone plates due to refraction and
absorption indexes of materials. The results can be applied in x-ray,
neutron, and atom optics.