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Scattering characteristics of periodic dielectric gratings can be accurately and e-ciently computed via a spectral volume integral equation combined with normal-vector flelds deflned on the grating geometry. We study the impact of the geometrical discretization on the convergence rate of the scattering characteristics for two-dimensional gratings in both TE and TM polarization and compare these with an independent semi-analytical reference for circular cylinders. We demonstrate that geometrically conforming normal vector flelds lead to substantially faster convergence and shorter computation times, as opposed to the commonly applied staircasing or slicing.

A SPECTRAL VOLUME INTEGRAL METHOD USING GEOMETRICALLY CONFORMING NORMAL-VECTOR FIELDS