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We use a rigorous vector Born series to solve electromagnetic scattering by a diffraction grating. To deal with possible divergence of the Born series, we compute Padé approximants of the Born series to retrieve the solution regardless. Besides results of the Born-Padé method for an example grating, for which the Born series diverges, we show analytical expressions for a two-layer grating in the case of s polarization. This gives insight into the convergence behavior of the Born series as function of the angle of incidence, for instance.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Thomas A. van der Sijs, Omar El Gawhary, H. Paul Urbach, "Born-Padé method for scattering by a diffraction grating: s polarization," Proc. SPIE 12991, Nanophotonics X, 129910V (10 June 2024); https://doi.org/10.1117/12.3015272