Electromagnetic theory of multilayer gratings and zone plates

Physics – Optics

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Scientific paper

The two types of multilayer gratings used n x-ray domain, i.e. multilayer coated gratings and Bragg-Fresnel multilayer gratings are analyzed with the electromagnetic theory. The analysis starts from the differential formalism previously developed for a bare (single profile) grating. The method is generalized to an arbitrary thick modulated stratified medium thanks to the use of a suitable S-matrix propagation algorithm and gives stable and accurate numerical results. Thus, new diffracting devices which were out of reach of all existing theories can be analyzed, such as x-ray multilayer echelles. The method is then extended to study unperiodic focusing devices such as Bragg-Fresnel linear zone plates.

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