Multilayer-coated blazed grating with variable line spacing and a variable blaze angle

The blazing ability of multilayer-coated blazed gratings (MBGs) was systematically investigated via numerical calculation of the diffraction efficiency with a rigorous electromagnetic simulation code. It was found that the blazing condition is not exact and allows significant deviation from the ideal situation for ultra-dense MBGs. A mismatch of the interfaces of the multilayer (ML) stacks of adjacent grooves results in a modified effective blaze angle, which gives the opportunity to control and tune precisely the blaze angle via a proper choice of ML d-spacing. Also this allows a new kind of x-ray gratings that have a variable line spacing (VLS) as well as a variable blaze angle. Precise adjustment of a local blaze angle of a VLS MBG can be achieved with a laterally graded ML, providing very high diffraction efficiency for the whole area of the grating.