Photonic Wannier-Stark Ladder from Coupled Electromagnetic Cavities

We have investigated the photonic Wannier-Stark ladder in the system of coupled electromagnetic cavities, which consists of a stack of metallic plates structured with subwavelength apertures and where the tilted potential effect is mimicked by imposing the gradient variation of refractive index. Mak...

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Main Authors: Shahzad Anwar, Sucheng Li, Weixin Lu, Bo Hou
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2015/360359
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author Shahzad Anwar
Sucheng Li
Weixin Lu
Bo Hou
author_facet Shahzad Anwar
Sucheng Li
Weixin Lu
Bo Hou
author_sort Shahzad Anwar
collection DOAJ
description We have investigated the photonic Wannier-Stark ladder in the system of coupled electromagnetic cavities, which consists of a stack of metallic plates structured with subwavelength apertures and where the tilted potential effect is mimicked by imposing the gradient variation of refractive index. Making an analogy to its quantum counterpart and assuming the translational property of its solutions, we have shown the photonic ladder has the eigenenergies, that is, frequencies, in a geometrical series. Within the approximation of small gradient, the ladder states manifest the equidistant frequency spacing in the spectrum. By both analytical derivation and numerical simulation, we have illustrated the geometrically progressed energies of the photonic Wannier-Stark ladder.
format Article
id doaj-art-e443beea076a405dbbe907902d4415fd
institution Kabale University
issn 1687-5869
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language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-e443beea076a405dbbe907902d4415fd2025-02-03T05:57:12ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772015-01-01201510.1155/2015/360359360359Photonic Wannier-Stark Ladder from Coupled Electromagnetic CavitiesShahzad Anwar0Sucheng Li1Weixin Lu2Bo Hou3College of Physics, Optoelectronics and Energy and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, 1 Shizi Street, Suzhou 215006, ChinaCollege of Physics, Optoelectronics and Energy and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, 1 Shizi Street, Suzhou 215006, ChinaCollege of Physics, Optoelectronics and Energy and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, 1 Shizi Street, Suzhou 215006, ChinaCollege of Physics, Optoelectronics and Energy and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, 1 Shizi Street, Suzhou 215006, ChinaWe have investigated the photonic Wannier-Stark ladder in the system of coupled electromagnetic cavities, which consists of a stack of metallic plates structured with subwavelength apertures and where the tilted potential effect is mimicked by imposing the gradient variation of refractive index. Making an analogy to its quantum counterpart and assuming the translational property of its solutions, we have shown the photonic ladder has the eigenenergies, that is, frequencies, in a geometrical series. Within the approximation of small gradient, the ladder states manifest the equidistant frequency spacing in the spectrum. By both analytical derivation and numerical simulation, we have illustrated the geometrically progressed energies of the photonic Wannier-Stark ladder.http://dx.doi.org/10.1155/2015/360359
spellingShingle Shahzad Anwar
Sucheng Li
Weixin Lu
Bo Hou
Photonic Wannier-Stark Ladder from Coupled Electromagnetic Cavities
International Journal of Antennas and Propagation
title Photonic Wannier-Stark Ladder from Coupled Electromagnetic Cavities
title_full Photonic Wannier-Stark Ladder from Coupled Electromagnetic Cavities
title_fullStr Photonic Wannier-Stark Ladder from Coupled Electromagnetic Cavities
title_full_unstemmed Photonic Wannier-Stark Ladder from Coupled Electromagnetic Cavities
title_short Photonic Wannier-Stark Ladder from Coupled Electromagnetic Cavities
title_sort photonic wannier stark ladder from coupled electromagnetic cavities
url http://dx.doi.org/10.1155/2015/360359
work_keys_str_mv AT shahzadanwar photonicwannierstarkladderfromcoupledelectromagneticcavities
AT suchengli photonicwannierstarkladderfromcoupledelectromagneticcavities
AT weixinlu photonicwannierstarkladderfromcoupledelectromagneticcavities
AT bohou photonicwannierstarkladderfromcoupledelectromagneticcavities