@inproceedings{783320a035e5450998154cf28888802d,

title = "Transition from photonic crystals to dielectric metamaterials: A phase diagram and the order parameter",

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.",

keywords = "Bragg resonance, Mie resonance, all-dielectric metamaterials, phase diagram, phase transition, photonic crystals",

author = "Rybin, {Mikhail V.} and Filonov, {Dmitry S.} and Samusev, {Kirill B.} and Belov, {Pavel A.} and Kivshar, {Yuri S.} and Limonov, {Mikhail F.}",

note = "Publisher Copyright: {\textcopyright} 2016 SPIE.; Photonic Crystal Materials and Devices XII ; Conference date: 05-04-2016 Through 07-04-2016",

year = "2016",

doi = "10.1117/12.2223721",

language = "אנגלית",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

publisher = "SPIE",

editor = "Gabriel Lozano and Romanov, {Sergei G.} and Christelle Monat and Romanov, {Sergei G.} and Dario Gerace and Gabriel Lozano",

booktitle = "Photonic Crystal Materials and Devices XII",

address = "ארצות הברית",

}