We discuss our contributions to describe the optical response of photonic materials made from periodically arranged scatterers. These scatterers can be molecules or macroscopic objects. A unifying description is possible by representing the scatterers with a T-matrix. While considering the renormalization of the object’s T-matrix upon interaction with all scatterers in the lattice, any optical quantity of interest can be expressed on numerical grounds. We also derive analytical expressions for many of those quantities while considering scatterers up to octupolar order at normal and oblique incidence for subwavelength and diffracting metasurfaces. Exemplarily, design challenges using these methods are presented.
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