| Abstract: |
| We derive the electromagnetic medium equivalent to a collection of all-dielectric nano-particles (enjoying high refractive indices) distributed periodically in a smooth domain. Then we extend and generalize the study to the medium with Van-Der-Waals Heterostructure possessing locally non-periodic distribution. For the periodic distribution case, we figure out that the effective medium is an alteration of the permeability that keeps the permittivity unchanged, which provides regimes under which the effective permeability can be positive or negative valued. For the heterostructure case, we build up a local distribution tensor, which models the local strong interaction of the nano-particles. To our best knowledge, such tensors are new in both the mathematical and engineering oriented literature. |
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