TY - GEN

T1 - Numerical method for simulation of orientation dynamics of nematic liquid crystals in electromagnetic fields

AU - Galev, R. V.

AU - Kudryavtsev, A. N.

N1 - Publisher Copyright: © 2020 Author(s). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/10/26

Y1 - 2020/10/26

N2 - The orientation dynamics of nematic liquid crystals (NLCs) is rotation of the director, i.e. a unit vector representing the preferred direction of orientation of molecules, under the action of elastic forces and an electromagnetic field (EMF). A numerical method for solving the equations of the orientation dynamics is proposed and details of its implementation are discussed. A special attention is paid to coupling of numerical solvers for the orientation dynamics of NLCs and for Maxwell's equations describing the light propagation in an anisotropic non-uniform medium. A numerical solution of the problem of the Fréedericksz transition is compared with its analytical solution, other examples of numerical simulations of physical phenomena in liquid-crystalline media interacting with electromagnetic waves are given.

AB - The orientation dynamics of nematic liquid crystals (NLCs) is rotation of the director, i.e. a unit vector representing the preferred direction of orientation of molecules, under the action of elastic forces and an electromagnetic field (EMF). A numerical method for solving the equations of the orientation dynamics is proposed and details of its implementation are discussed. A special attention is paid to coupling of numerical solvers for the orientation dynamics of NLCs and for Maxwell's equations describing the light propagation in an anisotropic non-uniform medium. A numerical solution of the problem of the Fréedericksz transition is compared with its analytical solution, other examples of numerical simulations of physical phenomena in liquid-crystalline media interacting with electromagnetic waves are given.

KW - LIGHT

KW - PROPAGATION

UR - http://www.scopus.com/inward/record.url?scp=85096688281&partnerID=8YFLogxK

U2 - 10.1063/5.0031271

DO - 10.1063/5.0031271

M3 - Conference contribution

AN - SCOPUS:85096688281

T3 - AIP Conference Proceedings

BT - High-Energy Processes in Condensed Matter, HEPCM 2020

A2 - Fomin, Vasily M.

PB - American Institute of Physics Inc.

T2 - 27th Conference on High-Energy Processes in Condensed Matter, HEPCM 2020

Y2 - 29 June 2020 through 3 July 2020

ER -