Abstract

Photonic crystals are wide-spread optical materials that are actively applied for manipulating light in various cases. However, it is still a challenge to calculate optical properties of photonic crystals, which include small deep-subwavelength resonant inclusions, in a fast way with acceptable precision. Here, we present a method for calculation of scattering matrix of a 2D lattice of resonant nanoparticles embedded into a homogeneous layer far from any interfaces. The proposed approach combines both specialized techniques for a description of high-gradient nanoparticle s’ near-field and theory, which accounts for the interactions between the nanoparticles. Our method makes it possible to increase the computational speed by several orders of magnitude in comparison with FEM and paves the way to a solution of several types of problems.

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