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Abstract
We present a formalism to understand the optical properties of metasurfaces, optically thin composite diffractive systems. The proposed technique, Rigorous Diffraction Interface Theory (R-DIT), provides an analytical framework for understanding the transition between optically thin and optically thick structures. R-DIT avoids the calculation of optical propagation through a thin layer and provides a direct link between the composition and the geometry of a metasurface and its transmission, reflection, and diffraction properties.
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