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    Polygon-based unified Fourier-modal approach for diffractive-optics simulations

    K. V. Nikolaev1,2, V. Soltwisch3, M. A. Botchev4, A. Fernández Herrero3, P. Hönicke3, F. Scholze3, and S. N. Yakunin2

    Phys. Rev. A 112, 043511 – Published 9 October, 2025

    DOI: https://doi.org/10.1103/n2qj-l886

    Abstract

    In this article, we derive a theoretical formalism that unifies the rigorous coupled wave analysis and the dynamical diffraction theory. Based on this formalism, we design a computational approach for the diffraction calculation for the nanoscale lamellar gratings with an arbitrary line profile shape. In this approach, the gratings line profile is approximated as a polygon. This proves to be convenient since such an approach does not rely on the geometry model of the grating. We test the proposed approach against other computational theories and a synchrotron scattering experiment.

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