Reflection of soft x-rays and extreme ultraviolet from a metallic Fibonacci quasi-superlattice

The reflectivity of TE soft x-rays and extreme ultraviolet from a metallic Fibonacci quasi-superlattice is investigated. Based on the hydrodynamic model and by using the transfer matrix method we obtained a formal expression of the reflectivity for the case of a metallic multilayer in the form of a Fibonacci sequence. The numerical results for reflectivities are shown for a set of multilayers with finite generation number. Besides the interesting self-similar pattern of the reflectance peaks, the numbers of which are arranged just corresponding the Fibonacci sequence, we find that the stronger reflectance peak larger height and width moves to a higher-frequency region compared with the usual standard superlattice, which stimulates interest in the study and making of soft x-rays and extreme ultraviolet reflectors.