Simple analytic equation is deduced to explain new physical phenomenon detected experimentally: growth of nano-dots (40–55 nm diameter, 8–13 nm height, 9.4 dots/μm2 surface density) on the grazing incidence mirror surface under the three years irradiation by the free electron laser FLASH (5–45 nm wavelength, 3 degrees grazing incidence angle). The growth model is based on the assumption that the growth of nano-dots is caused by polymerization of incoming hydrocarbon molecules under the action of incident photons directly or photoelectrons knocked out from a mirror surface. The key feature of our approach consists in that we take into account the radiation intensity variation nearby a mirror surface in an explicit form, because the polymerization probability is proportional to it. We demonstrate that the simple analytic approach allows to explain all phenomena observed in experiment and to predict new effects. In particular, we show that the nano-dots growth depends crucially on the grazing angle of incoming beam and its intensity: growth of nano-dots is observed in the limited from above and below intervals of the grazing angle and the radiation intensity. Decrease in the grazing angle by 1 degree only (from 3 to 2 degree) may result in a strong suppression of nanodots growth and their total disappearing. Similarly, decrease in the radiation intensity by several times (replacement of free electron laser by synchrotron) results also in disappearing of nano-dots growth.
I. V. Kozhevnikov, A. V. Buzmakov, F. Siewert, K. Tiedtke, M. Störmer, L. Samoylova, and H. Sinn, "Growth of nano-dots on the grazing incidence mirror surface under FEL irradiation: analytic approach to modeling," Proc. SPIE 10236, Damage to VUV, EUV, and X-ray Optics VI, 102360D (Presented at SPIE Optics + Optoelectronics: April 25, 2017; Published: 15 May 2017); https://doi.org/10.1117/12.2269371.
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