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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.

Imperfections in the multilayer stack deposited on a saw-tooth substrate are the main factor limiting the diffraction efficiency of extreme ultraviolet and soft x-ray multilayer-coated blazed gratings (MBGs). Since the multilayer perturbations occur in the vicinity of antiblazed facets of the substrates, reduction of the groove density of MBGs is expected to enlarge the area of unperturbed multilayer and result in higher diffraction efficiency. At the same time the grating should be optimized for higher-order operation in order to keep high dispersion and spectral resolution. In this work we show the validity of this approach and demonstrate significant enhancement of diffraction efficiency of MBGs using higher-order diffraction. A new record for diffraction efficiency of 52% in the second diffraction order was achieved for an optimized MBG with groove density of 2525 lines/mm at the wavelength of 13.4 nm.

Volume x-ray gratings consisting of a multilayer coating deposited on a blazed substrate can diffract with very high efficiency, even in high orders if diffraction conditions in-plane (grating) and out-of-plane (Bragg multilayer) are met simultaneously. This remarkable property, however, depends critically on the ability to create a structure with near atomic perfection. In this Letter we report on a method to produce these structures. We report measurements that show, for a 5000l/mm grating diffracting in the third order, a diffraction efficiency of 37.6% at a wavelength of 13.6nm. This work now shows a direct route to achieving high diffraction efficiency in high order at wavelengths throughout the soft x-ray energy range.

Diffraction efficiency of multilayer-coated blazed gratings (MBG) strongly depends on the perfection of the sawtooth-shaped layers in the overall composite structure. Growth of multilayers on sawtooth substrates should be carefully optimized to reduce groove profile distortion and, at the same time, to avoid significant roughening of multilayer interfaces. In this work, we report on a way to optimize growth of sputter-deposited Mo/Si multilayers on sawtooth substrates through variation of the sputtering gas pressure. We believe a new record for diffraction efficiency of 44% was achieved for an optimized MBG with groove density of 5250 lines/mm at the wavelength of 13.1 nm.