Localized single frequency lasing states in a finite parity-time symmetric resonator chain

In this paper a practical case of a finite periodic Parity Time chain made of resonant dielectric cylinders is considered. The paper analyzes a more general case where PT symmetry is achieved by modulating both the real and imaginary part of the material refractive index along the resonator chain. T...

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Main Authors: Phang, Sendy, Vukovic, Ana, Creagh, Stephen C., Sewell, Phillip, Gradoni, Gabriele, Benson, Trevor M.
Format: Article
Published: Nature Publishing Group 2016
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Online Access:https://eprints.nottingham.ac.uk/31610/
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author Phang, Sendy
Vukovic, Ana
Creagh, Stephen C.
Sewell, Phillip
Gradoni, Gabriele
Benson, Trevor M.
author_facet Phang, Sendy
Vukovic, Ana
Creagh, Stephen C.
Sewell, Phillip
Gradoni, Gabriele
Benson, Trevor M.
author_sort Phang, Sendy
building Nottingham Research Data Repository
collection Online Access
description In this paper a practical case of a finite periodic Parity Time chain made of resonant dielectric cylinders is considered. The paper analyzes a more general case where PT symmetry is achieved by modulating both the real and imaginary part of the material refractive index along the resonator chain. The band-structure of the finite periodic PT resonator chains is compared to infinite chains in order to understand the complex interdependence of the Bloch phase and the amount of the gain/loss in the system that causes the PT symmetry to break. The results show that the type of the modulation along the unit cell can significantly affect the position of the threshold point of the PT system. In all cases the lowest threshold is achieved near the end of the Brillouin zone. In the case of finite PT-chains, and for a particular type of modulation, early PT symmetry breaking is observed and shown to be caused by the presence of termination states localized at the edges of the finite chain resulting in localized lasing and dissipative modes at each end of the chain.
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spelling nottingham-316102020-05-04T17:37:54Z https://eprints.nottingham.ac.uk/31610/ Localized single frequency lasing states in a finite parity-time symmetric resonator chain Phang, Sendy Vukovic, Ana Creagh, Stephen C. Sewell, Phillip Gradoni, Gabriele Benson, Trevor M. In this paper a practical case of a finite periodic Parity Time chain made of resonant dielectric cylinders is considered. The paper analyzes a more general case where PT symmetry is achieved by modulating both the real and imaginary part of the material refractive index along the resonator chain. The band-structure of the finite periodic PT resonator chains is compared to infinite chains in order to understand the complex interdependence of the Bloch phase and the amount of the gain/loss in the system that causes the PT symmetry to break. The results show that the type of the modulation along the unit cell can significantly affect the position of the threshold point of the PT system. In all cases the lowest threshold is achieved near the end of the Brillouin zone. In the case of finite PT-chains, and for a particular type of modulation, early PT symmetry breaking is observed and shown to be caused by the presence of termination states localized at the edges of the finite chain resulting in localized lasing and dissipative modes at each end of the chain. Nature Publishing Group 2016-02-05 Article PeerReviewed Phang, Sendy, Vukovic, Ana, Creagh, Stephen C., Sewell, Phillip, Gradoni, Gabriele and Benson, Trevor M. (2016) Localized single frequency lasing states in a finite parity-time symmetric resonator chain. Scientific Reports, 6 . e20499/1-e20499/12. ISSN 2045-2322 Metamaterials Microresonators Optoelectronic devices and components http://www.nature.com/articles/srep20499 doi:10.1038/srep20499 doi:10.1038/srep20499
spellingShingle Metamaterials
Microresonators
Optoelectronic devices and components
Phang, Sendy
Vukovic, Ana
Creagh, Stephen C.
Sewell, Phillip
Gradoni, Gabriele
Benson, Trevor M.
Localized single frequency lasing states in a finite parity-time symmetric resonator chain
title Localized single frequency lasing states in a finite parity-time symmetric resonator chain
title_full Localized single frequency lasing states in a finite parity-time symmetric resonator chain
title_fullStr Localized single frequency lasing states in a finite parity-time symmetric resonator chain
title_full_unstemmed Localized single frequency lasing states in a finite parity-time symmetric resonator chain
title_short Localized single frequency lasing states in a finite parity-time symmetric resonator chain
title_sort localized single frequency lasing states in a finite parity-time symmetric resonator chain
topic Metamaterials
Microresonators
Optoelectronic devices and components
url https://eprints.nottingham.ac.uk/31610/
https://eprints.nottingham.ac.uk/31610/
https://eprints.nottingham.ac.uk/31610/