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We revisit a few aspects of the unusual features arising with metamaterials and metasurfaces in the context of their electromagnetic properties . We consider the properties of multilayered structures and indicate that a strong spatial dispersion as well as complex additional boundary conditions arise for a one-dimensional assembly of dielectric layers. With that basis, we analyse nonlinear properties of multilayered structures and illustrate the implications of spatial dispersion for nonlinear properties. Further on, we briefly review the implications of hyperbolic dispersion, readily available with multilayered structures, for nonlinear processes.
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Lapine et al. (2023) studied this question.
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