An explicit finite-difference method to calculate liquid crystal re-orientation dynamics

Christian Kremers; Andrey E. Miroshnichenko; Dmitry N. Chigrin

doi:10.1063/1.4750097

An explicit finite-difference method to calculate liquid crystal re-orientation dynamics

Christian Kremers^*, Andrey E. Miroshnichenko, Dmitry N. Chigrin

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We propose a general efficient 3D explicit finite difference method to calculate the dynamics of molecule reorientation in liquid crystals subject to applied electric field. This method is self consistently coupled to a static Poisson solver and it is shown how a self consistent coupling with general finite-difference time-domain (FDTD) Maxwell solvers can be realised. As numerical examples optical transmission through an empty LC-cell as well as through an array of gold nano-spheres embedded in LC-cell is analysed.

Original language	English
Title of host publication	Fifth International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012
Pages	65-67
Number of pages	3
DOIs	https://doi.org/10.1063/1.4750097
Publication status	Published - 2012
Event	5th International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012 - Bad Honnef, Germany Duration: 24 Oct 2012 → 26 Oct 2012

Publication series

Name	AIP Conference Proceedings
Volume	1475
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	5th International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012
Country/Territory	Germany
City	Bad Honnef
Period	24/10/12 → 26/10/12

Access to Document

10.1063/1.4750097

Cite this

@inproceedings{175f2ebd87c941feaa51e9046c987578,

title = "An explicit finite-difference method to calculate liquid crystal re-orientation dynamics",

abstract = "We propose a general efficient 3D explicit finite difference method to calculate the dynamics of molecule reorientation in liquid crystals subject to applied electric field. This method is self consistently coupled to a static Poisson solver and it is shown how a self consistent coupling with general finite-difference time-domain (FDTD) Maxwell solvers can be realised. As numerical examples optical transmission through an empty LC-cell as well as through an array of gold nano-spheres embedded in LC-cell is analysed.",

keywords = "FDTD, Nematic liquid crystal, dynamic continuum theory",

author = "Christian Kremers and Miroshnichenko, {Andrey E.} and Chigrin, {Dmitry N.}",

year = "2012",

doi = "10.1063/1.4750097",

language = "English",

isbn = "9780735410848",

series = "AIP Conference Proceedings",

pages = "65--67",

booktitle = "Fifth International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012",

note = "5th International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012 ; Conference date: 24-10-2012 Through 26-10-2012",

}

Kremers, C, Miroshnichenko, AE & Chigrin, DN 2012, An explicit finite-difference method to calculate liquid crystal re-orientation dynamics. in Fifth International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012. AIP Conference Proceedings, vol. 1475, pp. 65-67, 5th International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012, Bad Honnef, Germany, 24/10/12. https://doi.org/10.1063/1.4750097

An explicit finite-difference method to calculate liquid crystal re-orientation dynamics. / Kremers, Christian; Miroshnichenko, Andrey E.; Chigrin, Dmitry N.
Fifth International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012. 2012. p. 65-67 (AIP Conference Proceedings; Vol. 1475).

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

TY - GEN

T1 - An explicit finite-difference method to calculate liquid crystal re-orientation dynamics

AU - Kremers, Christian

AU - Miroshnichenko, Andrey E.

AU - Chigrin, Dmitry N.

PY - 2012

Y1 - 2012

N2 - We propose a general efficient 3D explicit finite difference method to calculate the dynamics of molecule reorientation in liquid crystals subject to applied electric field. This method is self consistently coupled to a static Poisson solver and it is shown how a self consistent coupling with general finite-difference time-domain (FDTD) Maxwell solvers can be realised. As numerical examples optical transmission through an empty LC-cell as well as through an array of gold nano-spheres embedded in LC-cell is analysed.

AB - We propose a general efficient 3D explicit finite difference method to calculate the dynamics of molecule reorientation in liquid crystals subject to applied electric field. This method is self consistently coupled to a static Poisson solver and it is shown how a self consistent coupling with general finite-difference time-domain (FDTD) Maxwell solvers can be realised. As numerical examples optical transmission through an empty LC-cell as well as through an array of gold nano-spheres embedded in LC-cell is analysed.

KW - FDTD

KW - Nematic liquid crystal

KW - dynamic continuum theory

UR - http://www.scopus.com/inward/record.url?scp=84875518537&partnerID=8YFLogxK

U2 - 10.1063/1.4750097

DO - 10.1063/1.4750097

M3 - Conference contribution

SN - 9780735410848

T3 - AIP Conference Proceedings

SP - 65

EP - 67

BT - Fifth International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012

T2 - 5th International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012

Y2 - 24 October 2012 through 26 October 2012

ER -

An explicit finite-difference method to calculate liquid crystal re-orientation dynamics

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this