Summary In this presentation I present the design, production, and characterization of multilayer mirrors intended as wavelength dispersive elements for the soft x-ray range. The central theme is the analysis and control of the different processes occurring at the materials interfaces between the layers. These interfaces largely determine the multilayer optical characteristics and form a continuous challenge to improve the multilayer performance, i.e. its optical reflectivity and wavelength selectivity. Both properties are of relevance for the main application motivating this particular work, namely X-Ray Fluorescence spectroscopy (XRF). XRF is an elemental analysis technique for which multilayer dispersive elements are employed. The results collected during this project, however, also deal with more general thin film phenomena of relevance for other thin single and multilayer systems in microelectronics and elsewhere. The ability to freely design and synthesize multilayer mirrors has in the past led to experimental and theoretical approaches to increase the multilayer wavelength selectivity. This was done by modifying the ideal, block-shape, density profile of a multilayer of two pure materials with perfectly sharp interfaces into a profile with a certain gradient within the materials density. However, so far, no general theory has existed that includes the effect on the reflectivity of such modifications. I will show a theoretical proof, namely stating that the ideal, classical design in all cases leads to the highest reflectivity for any given selectivity. For this purpose, a Fourier theory about reflection in multilayer optics was used, taking into account the effect of absorption on the penetration depth of the radiation. However, the use of graded density multilayer systems does have the advantage that a certain target selectivity can be reached at slightly higher metal fractions in the bi-layer, which is favorable for the practical fabrication. Obviously, in the experimental programme of fabricating these and other density profiles, it is imperative to avail oneself of a clear method to determine the actual profiles created in the samples. Although numerous analysis methods do exist, they either alter the structure prior to the analysis or require extensive knowledge of the structure beforehand. In this work a new technique has been developed, which allows extracting quantitative information on materials densities from cross-section transmission electron microscopy (TEM) images. Using TEM it was already possible to obtain a qualitative in-depth density profile of the structure. By combining this technique with x-ray reflectometry, this intensity profile can now be converted into a calibrated density profile. The technique is demonstrated for W/Si and Mo/Si multilayers with sharp interfaces as well as multilayers of which the interfaces were deliberately intermixed. The in-depth density profile, the layer thickness, the layer roughness and even the stoichiometry for each individual layer in the structure could accurately be determined. The use of these and other analysis methods have revealed clearly the effects of different forms of ion treatment, commonly applied to improve the reflectivity of multilayer mirrors. Dependencies of film properties were investigated for respectively low and high energies of the ions impacting during or after deposition of W layers in W/Si multilayer mirrors. Analysis revealed that the addition of energy to the W layer resulted in a smoother surface of the W layer, and thus a sharper interface with the next deposited Si layer. This positive effect was (partly) counter balanced by ion-induced intermixing of the W-on-Si interlayer below, due to the penetration of ions through the thin (2 nm) top W layer. For higher ion energies it was observed that the intermixing at the latter interface increased, ultimately leading to a complete intermixing of W into the Si layer. Combining the effects at the Si-on-W and the W-on-Si interface, an optimal energy for the ion treatment was determined having a net positive effect on the reflectivity. Chemical affinity between Si and W was identified as a main reason for the intermixing. The studies on this and other types of layer intermixing have led to the formulation of a method to control interface intermixing phenomena. It is based on H-passivation of the Si layer and the subsequent deposition of an atomically thin Si layer acting as an adhesion layer. Upon W-overcoat, the latter is converted into silicide of which the thickness is limited due to the finite amount of unpassivated Si. Using planar TEM analysis it was confirmed that deposited W chemically hardly interacted with the Si:H:Si layer underneath. The Si:H/Si/W multilayer mirror showed an 18 rel.% higher reflectivity than the conventional Si/W mirror.