Abstract
In this report, we analyse X-ray induced damage of B4C-coated bilayer materials under various irradiation geometries, following the conditions of our experiment performed at the free-electron-laser facility SACLA. We start with the discussion of structural damage in solids and damage threshold doses for the experimental system components: B4C, SiC, Mo and Si. Later, we analyze the irradiation of the experimentally tested coated bilayer systems under two different incidence conditions of a linearly polarized X-ray pulse: (i) grazing incidence, and (ii) normal incidence, in order to compare quantitatively the effect of the pulse incidence on the radiation tolerance of both systems. For that purpose, we propose a simple theoretical model utilizing properties of hard X-ray propagation and absorption in irradiated materials and of the following electron transport. With this model, we overcome the bottleneck problem of large spatial scales, inaccessible for any existing first-principle-based simulation tools due to their computational limitations for large systems. Predictions for damage thresholds obtained with the model agree well with the available experimental data. In particular, they confirm that two coatings tested: 15 nm B4C/20 nm Mo on silicon wafer and 15 nm B4C/50 nm SiC on silicon wafer can sustain X-ray irradiation at the fluences up to ~10 μJ/μm2, when exposed to linearly polarized 10 keV X-ray pulse at a grazing incidence angle of 3 mrad. Below we present the corresponding theoretical analysis. Potential applications of our approach for design and radiation tolerance tests of multilayer components within X-ray free-electron-laser optics are indicated.
Highlights
Multilayer mirrors are optical elements used for many applications including on free-electron-lasers (FELs) beamlines
We proposed a simple model to estimate damage thresholds of X-ray irradiated coated bilayer materials
We analysed structural damage thresholds for complex coated bilayer systems irradiated with linearly polarized X-rays
Summary
We present a simple theoretical model, capable of estimating damage thresholds in multilayer materials under varying X-ray incidence and polarization. In case of the incoming fluence of F = 10 μJ/μm[2], which is the experimentally estimated damage threshold for both coatings, our model predicts that the surface can still sustain the XFEL radiation. The damage threshold fluence estimated with the model for the coated bilayer system under normal incidence is ~0.1 μJ/μm[2] for the set-up (a) and ~1 μJ/μm[2] for the set-up (b) from Fig. 4, i.e., it is ~10–100 times smaller than that one obtained for the case of grazing incidence. The material would be destroyed under the experimental fluence irradiation conditions, if the incidence of X-rays were normal
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