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Phase diagram for the transition from photonic crystals to dielectric metamaterials | Mikhail V. Rybin
; Dmitry S. Filonov
; Kirill B. Samusev
; Pavel A. Belov
; Yuri S. Kivshar
; Mikhail F. Limonov
; | Date: |
31 Jul 2015 | Abstract: | Photonic crystals and metamaterials represent two seemingly different classes
of artificial electromagnetic media but often they are composed of similar
structural elements arranged in periodic lattices. The important question is
how to distinguish these two types of periodic photonic structures when their
parameters, such as dielectric permittivity and lattice spacing, vary
continuously. Here, we discuss transitions between photonic crystals and
all-dielectric metamaterials and introduce the concept of a phase diagram and
an order parameter for such structured materials, based on the physics of Mie
and Bragg resonances. We show that a periodic photonic structure transforms
into a metamaterial when the Mie gap opens up below the lowest Bragg bandgap
where the homogenization approach can be justified and the effective
permeability becomes negative. Our theoretical approach is confirmed by
detailed microwave experiments for a metacrystal composed of a square lattice
of glass tubes filled with heated water. This analysis yields deep insight into
the properties of periodic photonic structures, and it also provides a useful
tool for designing different classes of electromagnetic materials in a broad
range of parameters. | Source: | arXiv, 1507.8901 | Services: | Forum | Review | PDF | Favorites |
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