Effects of hydrostatic strain on eigenstates of Möbius strips

Benny Lassen; Morten Willatzen; Jens Gravesen

doi:10.1109/NUSOD.2011.6041125

Effects of hydrostatic strain on eigenstates of Möbius strips

Benny Lassen
, Morten Willatzen
, Jens Gravesen

University of Southern Denmark

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

Abstract

In this paper we theoretically investigate the allowed energies and associate wave-functions for Möbius strips with varying thicknesses. We show that the induced strain in fabricating these Möbius strips will have an pronounced impact on the energies and wave-functions for thick strips, while for thin strips the impact of strain is negligible. We furthermore, show that a simpler strain free approximate theory base on differential geometry is in excellent agreement with detailed finite element calculations. © 2011 IEEE.

Original language	English
Title of host publication	Proceedings of the 2011 11th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)
Publisher	IEEE Computer Society Press
Publication date	2011
Pages	3-4
ISBN (Print)	978-1-61284-876-1
ISBN (Electronic)	978-1-61284-878-5
DOIs	https://doi.org/10.1109/NUSOD.2011.6041125
Publication status	Published - 2011
Event	11th International Conference on Numerical Simulation of Optoelectronic Devices - Rome, Italy Duration: 5 Sept 2011 → 8 Sept 2011 Conference number: 11 http://www.nusod.org/2011/

Conference

Conference	11th International Conference on Numerical Simulation of Optoelectronic Devices
Number	11
Country/Territory	Italy
City	Rome
Period	05/09/2011 → 08/09/2011
Internet address	http://www.nusod.org/2011/

Keywords

Computer simulation
Electrooptical devices
Wave functions
Optoelectronic devices

Access to Document

10.1109/NUSOD.2011.6041125

OpenUrl availability

Check availability in DTU Findit

Cite this

@inproceedings{334272ba756a4e5fb0b99cf853fd648b,

title = "Effects of hydrostatic strain on eigenstates of M{\"o}bius strips",

abstract = "In this paper we theoretically investigate the allowed energies and associate wave-functions for M{\"o}bius strips with varying thicknesses. We show that the induced strain in fabricating these M{\"o}bius strips will have an pronounced impact on the energies and wave-functions for thick strips, while for thin strips the impact of strain is negligible. We furthermore, show that a simpler strain free approximate theory base on differential geometry is in excellent agreement with detailed finite element calculations. {\textcopyright} 2011 IEEE.",

keywords = "Computer simulation, Electrooptical devices, Wave functions, Optoelectronic devices",

author = "Benny Lassen and Morten Willatzen and Jens Gravesen",

year = "2011",

doi = "10.1109/NUSOD.2011.6041125",

language = "English",

isbn = "978-1-61284-876-1 ",

pages = "3--4",

booktitle = "Proceedings of the 2011 11th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)",

publisher = "IEEE Computer Society Press",

note = "11th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2011 ; Conference date: 05-09-2011 Through 08-09-2011",

url = "http://www.nusod.org/2011/",

}

Lassen, B, Willatzen, M & Gravesen, J 2011, Effects of hydrostatic strain on eigenstates of Möbius strips. in Proceedings of the 2011 11th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE Computer Society Press, pp. 3-4, 11th International Conference on Numerical Simulation of Optoelectronic Devices, Rome, Italy, 05/09/2011. https://doi.org/10.1109/NUSOD.2011.6041125

Effects of hydrostatic strain on eigenstates of Möbius strips. / Lassen, Benny; Willatzen, Morten; Gravesen, Jens.
Proceedings of the 2011 11th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE Computer Society Press, 2011. p. 3-4.

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

TY - GEN

T1 - Effects of hydrostatic strain on eigenstates of Möbius strips

AU - Lassen, Benny

AU - Willatzen, Morten

AU - Gravesen, Jens

N1 - Conference code: 11

PY - 2011

Y1 - 2011

N2 - In this paper we theoretically investigate the allowed energies and associate wave-functions for Möbius strips with varying thicknesses. We show that the induced strain in fabricating these Möbius strips will have an pronounced impact on the energies and wave-functions for thick strips, while for thin strips the impact of strain is negligible. We furthermore, show that a simpler strain free approximate theory base on differential geometry is in excellent agreement with detailed finite element calculations. © 2011 IEEE.

AB - In this paper we theoretically investigate the allowed energies and associate wave-functions for Möbius strips with varying thicknesses. We show that the induced strain in fabricating these Möbius strips will have an pronounced impact on the energies and wave-functions for thick strips, while for thin strips the impact of strain is negligible. We furthermore, show that a simpler strain free approximate theory base on differential geometry is in excellent agreement with detailed finite element calculations. © 2011 IEEE.

KW - Computer simulation

KW - Electrooptical devices

KW - Wave functions

KW - Optoelectronic devices

U2 - 10.1109/NUSOD.2011.6041125

DO - 10.1109/NUSOD.2011.6041125

M3 - Article in proceedings

SN - 978-1-61284-876-1

SP - 3

EP - 4

BT - Proceedings of the 2011 11th International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD)

PB - IEEE Computer Society Press

T2 - 11th International Conference on Numerical Simulation of Optoelectronic Devices

Y2 - 5 September 2011 through 8 September 2011

ER -

Effects of hydrostatic strain on eigenstates of Möbius strips

Abstract

Conference

Keywords

Access to Document

OpenUrl availability

Fingerprint

Cite this