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Dynamical theory of stratified Fresnel linear zone plates

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Abstract

A dynamical theory is given for calculating the performances of stratified Fresnel linear zone plates (SFLZP’s). The Born expansion extended to the Fresnel diffraction is used to prove a fundamental theorem giving the diffraction efficiency and the diffraction pattern of transmission or reflection SFLZP’s. The method is valuable as long as the wavelength is smaller than the characteristic parameter of the zone plate. It allows us to evaluate the performances of reflection multilayer SFLZP’s, i.e., the so-called Bragg–Fresnel optics recently developed for x-ray optics.

© 1993 Optical Society of America

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