Reciprocal and non-reciprocal wave phenomena in quasi-periodic particle chains

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Quasi-Periodic (QP) particle chains exhibit unique properties not observed in periodic ones. Furthermore, they inherently support significant long-range interactions and radiation to the surrounding medium. Hence they are fundamentally different from traditional QP structures governed by the Harper's model or the almost-Mathieu operator. We present a mathematical framework for QP particle chains and study their electrodynamics. They support guided modes that exhibit a complex interaction with the light cone, and possess a two-dimensional fractal-like structure in the frequencywavenumber space thus making the unique definition of modal phase velocity impossible. However, a well-defined group velocity is revealed due to the fractals inner structure. We also show initial study of non-reciprocal QP structures.

Original languageEnglish
Title of host publication2015 9th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, METAMATERIALS 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages205-207
Number of pages3
ISBN (Electronic)9781479978366
DOIs
StatePublished - 30 Nov 2015
Event9th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, METAMATERIALS 2015 - Oxford, United Kingdom
Duration: 7 Sep 201512 Sep 2015

Publication series

Name2015 9th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, METAMATERIALS 2015

Conference

Conference9th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics, METAMATERIALS 2015
Country/TerritoryUnited Kingdom
CityOxford
Period7/09/1512/09/15

Keywords

  • Differential equations
  • Electromagnetics
  • Fractals
  • Metamaterials
  • Microwave theory and techniques
  • Modulation
  • Optics

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

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