Vanishing gaps in photonic crystals and other periodic potentials

S. Caffrey; G.V. Morozov; D. MacBeath; D.W.L. Sprung

doi:10.1109/ICTON.2016.7550309

Vanishing gaps in photonic crystals and other periodic potentials

S. Caffrey, G.V. Morozov, D. MacBeath, D.W.L. Sprung

School of Computing, Engineering and Physical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

194 Downloads (Pure)

Abstract

Using Floquet-Bloch theory, we find incipient bands (vanishing gaps) in the band structures of one-dimensional photonic crystals with a piece-wise constant profile of the refractive index, and in the band structures of continuously differentiable periodic potentials. The emphasis is on potentials that allow solutions in an exact analytical form.

Original language	English
Title of host publication	18th International Conference on Transparent Optical Networks (ICTON), 2016
Publisher	IEEE
Number of pages	4
ISBN (Electronic)	9781509014675
ISBN (Print)	9781509014682
DOIs	https://doi.org/10.1109/ICTON.2016.7550309
Publication status	Published - 25 Aug 2016
Event	International Conference on Transparent Optical Networks - Trento, Italy Duration: 10 Jul 2016 → 14 Jul 2016 Conference number: 18 https://icton2016.fbk.eu/

Publication series

Name
Publisher	IEEE
ISSN (Electronic)	2161-2064

Conference

Conference	International Conference on Transparent Optical Networks
Abbreviated title	ICTON
Country/Territory	Italy
City	Trento
Period	10/07/16 → 14/07/16
Internet address	https://icton2016.fbk.eu/

Keywords

Floquet-Bloch theory
Band structure of periodic potentials
Vanishing gaps (incipient bands)

Access to Document

10.1109/ICTON.2016.7550309

2016 06 20 Caffrey et al Vanishing acceptedAccepted author manuscript, 422 KBLicence: CC BY-NC-ND

Cite this

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title = "Vanishing gaps in photonic crystals and other periodic potentials",

abstract = "Using Floquet-Bloch theory, we find incipient bands (vanishing gaps) in the band structures of one-dimensional photonic crystals with a piece-wise constant profile of the refractive index, and in the band structures of continuously differentiable periodic potentials. The emphasis is on potentials that allow solutions in an exact analytical form.",

keywords = "Floquet-Bloch theory, Band structure of periodic potentials, Vanishing gaps (incipient bands)",

author = "S. Caffrey and G.V. Morozov and D. MacBeath and D.W.L. Sprung",

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T1 - Vanishing gaps in photonic crystals and other periodic potentials

AU - Caffrey, S.

AU - Morozov, G.V.

AU - MacBeath, D.

AU - Sprung, D.W.L.

N1 - Conference code: 18

PY - 2016/8/25

Y1 - 2016/8/25

N2 - Using Floquet-Bloch theory, we find incipient bands (vanishing gaps) in the band structures of one-dimensional photonic crystals with a piece-wise constant profile of the refractive index, and in the band structures of continuously differentiable periodic potentials. The emphasis is on potentials that allow solutions in an exact analytical form.

AB - Using Floquet-Bloch theory, we find incipient bands (vanishing gaps) in the band structures of one-dimensional photonic crystals with a piece-wise constant profile of the refractive index, and in the band structures of continuously differentiable periodic potentials. The emphasis is on potentials that allow solutions in an exact analytical form.

KW - Floquet-Bloch theory

KW - Band structure of periodic potentials

KW - Vanishing gaps (incipient bands)

U2 - 10.1109/ICTON.2016.7550309

DO - 10.1109/ICTON.2016.7550309

M3 - Conference contribution

SN - 9781509014682

BT - 18th International Conference on Transparent Optical Networks (ICTON), 2016

PB - IEEE

T2 - International Conference on Transparent Optical Networks

Y2 - 10 July 2016 through 14 July 2016

ER -

Vanishing gaps in photonic crystals and other periodic potentials

Abstract

Publication series

Conference

Keywords

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