Born-Padé method for scattering by a diffraction grating
s polarization
Thomas A. van der Sijs (TU Delft - Applied Sciences)
Omar El Gawhary (TU Delft - Applied Sciences)
H. Paul Urbach (TU Delft - Applied Sciences)
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Abstract
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.