Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials

We describe novel topological phases of isofrequency k-space surfaces in bianisotropic optical materials—tri- and tetrahyperbolic materials—which are induced by the introduction of chirality. This completes the classification of isofrequency topologies for bianisotropic materials...

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Main Authors: Maxim Durach, Robert Williamson, Morgan Laballe, Thomas Mulkey
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/10/3/763
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spelling doaj-1fd7c74c3958453690252f19c4ff63a52020-11-25T02:19:45ZengMDPI AGApplied Sciences2076-34172020-01-0110376310.3390/app10030763app10030763Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic MaterialsMaxim Durach0Robert Williamson1Morgan Laballe2Thomas Mulkey3Department of Physics and Astronomy, Georgia Southern University, Statesboro, GA 30460, USADepartment of Physics and Astronomy, Georgia Southern University, Statesboro, GA 30460, USADepartment of Physics and Astronomy, Georgia Southern University, Statesboro, GA 30460, USADepartment of Physics and Astronomy, Georgia Southern University, Statesboro, GA 30460, USAWe describe novel topological phases of isofrequency k-space surfaces in bianisotropic optical materials—tri- and tetrahyperbolic materials—which are induced by the introduction of chirality. This completes the classification of isofrequency topologies for bianisotropic materials, as we showed that all optical materials belong to one of the following topological classes—tetra-, tri-, bi-, mono-, or nonhyperbolic. We showed that phase transitions between these classes occur in the k-space directions with zero group velocity at high k-vectors. This classification is based on the sets of high-k polaritons (HKPs), supported by materials. We obtained the equation describing these sets and characterized the longitudinal polarization-impedance of HKPs.https://www.mdpi.com/2076-3417/10/3/763bianisotropic materialshyperbolic metamaterialsphotonics
collection DOAJ
language English
format Article
sources DOAJ
author Maxim Durach
Robert Williamson
Morgan Laballe
Thomas Mulkey
spellingShingle Maxim Durach
Robert Williamson
Morgan Laballe
Thomas Mulkey
Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials
Applied Sciences
bianisotropic materials
hyperbolic metamaterials
photonics
author_facet Maxim Durach
Robert Williamson
Morgan Laballe
Thomas Mulkey
author_sort Maxim Durach
title Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials
title_short Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials
title_full Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials
title_fullStr Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials
title_full_unstemmed Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials
title_sort tri- and tetrahyperbolic isofrequency topologies complete classification of bianisotropic materials
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-01-01
description We describe novel topological phases of isofrequency k-space surfaces in bianisotropic optical materials—tri- and tetrahyperbolic materials—which are induced by the introduction of chirality. This completes the classification of isofrequency topologies for bianisotropic materials, as we showed that all optical materials belong to one of the following topological classes—tetra-, tri-, bi-, mono-, or nonhyperbolic. We showed that phase transitions between these classes occur in the k-space directions with zero group velocity at high k-vectors. This classification is based on the sets of high-k polaritons (HKPs), supported by materials. We obtained the equation describing these sets and characterized the longitudinal polarization-impedance of HKPs.
topic bianisotropic materials
hyperbolic metamaterials
photonics
url https://www.mdpi.com/2076-3417/10/3/763
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AT thomasmulkey triandtetrahyperbolicisofrequencytopologiescompleteclassificationofbianisotropicmaterials
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