Transition from photonic crystals to dielectric metamaterials: A phase diagram and the order parameter

Mikhail V. Rybin; Dmitry S. Filonov; Kirill B. Samusev; Pavel A. Belov; Yuri S. Kivshar; Mikhail F. Limonov

doi:10.1117/12.2223721

18 April 2016 Transition from photonic crystals to dielectric metamaterials: A phase diagram and the order parameter

Mikhail V. Rybin, Dmitry S. Filonov, Kirill B. Samusev, Pavel A. Belov, Yuri S. Kivshar, Mikhail F. Limonov

Proceedings Volume 9885, Photonic Crystal Materials and Devices XII; 98850R (2016) https://doi.org/10.1117/12.2223721
Event: SPIE Photonics Europe, 2016, Brussels, Belgium

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.

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Mikhail V. Rybin, Dmitry S. Filonov, Kirill B. Samusev, Pavel A. Belov, Yuri S. Kivshar, and Mikhail F. Limonov "Transition from photonic crystals to dielectric metamaterials: A phase diagram and the order parameter", Proc. SPIE 9885, Photonic Crystal Materials and Devices XII, 98850R (18 April 2016); https://doi.org/10.1117/12.2223721

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