Metamaterials with dielectric and metallic inclusions in the cubic lattice

The method of integral equations, which is based on the Green function of periodically arranged sources, is used for analyzing periodic metamaterials (photonic crystals) in the form of the simplest metallic and dielectric inclusions into a rectangular cubic lattice in a dielectric medium (matrix). Dielectric inclusions in the form of parallelepipeds and cubes are considered, as well as similar metallic inclusions (perfectly conducting metal rods) and 1D nanosized structures with metallic layers. Metal inclusions are investigated in the case of ideal conduction and in the case of penetration of a field into the metal, which is simulated as an electron plasma. The results are applicable from microwave of optical frequencies.