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Proceedings Paper

Transition from photonic crystals to dielectric metamaterials: A phase diagram and the order parameter
Author(s): Mikhail V. Rybin; Dmitry S. Filonov; Kirill B. Samusev; Pavel A. Belov; Yuri S. Kivshar; Mikhail F. Limonov
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Paper Abstract

We introduce a concept of phase transitions between photonic crystals and all-dielectric metamaterials suggesting a phase diagram that places two classes of such artificial structures on a common parameter plane.1 We consider photonic crystals and all-dielectric metamaterials composed of the similar structural elements and arranged in the similar geometry of a two-dimensional (2D) square lattice of dielectric cylinders of large dielectric permittivity. Such structures can display negative magnetic permeability in the TE-polarization due to the Mie resonance that occurs below the lowest Bragg resonance.2 We define a point of transition from photonic crystals to all-dielectric metamaterials as a point when the lowest Mie resonance splits from the lowest Bragg resonance creating the lowest photonic gap. Based on the numerical results, we construct the phase diagram photonic crystals - all- dielectric metamaterials for the 2D square lattice of circular rods for the TE polarization. We have verified our theoretical concept experimentally by engineering a “metacrystal” composed of glass tubes filled with water forming a 2D square lattice with a variable lattice constant.

Paper Details

Date Published: 18 April 2016
PDF: 9 pages
Proc. SPIE 9885, Photonic Crystal Materials and Devices XII, 98850R (18 April 2016); doi: 10.1117/12.2223721
Show Author Affiliations
Mikhail V. Rybin, Ioffe Physico-Technical Institute (Russian Federation)
Dmitry S. Filonov, ITMO Univ. (Russian Federation)
Kirill B. Samusev, Ioffe Physico-Technical Institute (Russian Federation)
Pavel A. Belov, ITMO Univ. (Russian Federation)
Yuri S. Kivshar, ITMO Univ. (Russian Federation)
The Australian National Univ. (Australia)
Mikhail F. Limonov, Ioffe Physico-Technical Institute (Russian Federation)

Published in SPIE Proceedings Vol. 9885:
Photonic Crystal Materials and Devices XII
Dario Gerace; Gabriel Lozano; Christelle Monat; Sergei G. Romanov, Editor(s)

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