12 May 2015 Dynamical diffraction approach of deformed crystals using finite element method
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Abstract
We present a new approach to the numerical solution of Takagi equations, based on the Finite Element Method (FEM) that starting from a weak formulation of differential equations is much more versatile than the usual Finite Difference method (FDM). In particular, this is the only available approach that can easily handle with calculation where the free space propagation is required, as in the case of focusing by curved crystals, but also some crystals cut with special geometries that are useful for neutron monochromators.
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V. Mocella, C. Ferrero, J.-P. Guigay, "Dynamical diffraction approach of deformed crystals using finite element method", Proc. SPIE 9510, EUV and X-ray Optics: Synergy between Laboratory and Space IV, 95100H (12 May 2015); doi: 10.1117/12.2179290; https://doi.org/10.1117/12.2179290
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