Solitons in highly nonlocal nematic liquid crystals: Variational approach

Najdan B. Aleksić; Milan S. Petrović; Aleksandra I. Strinić; Milivoj R. Belić

doi:10.1103/PhysRevA.85.033826

Solitons in highly nonlocal nematic liquid crystals: Variational approach

Najdan B. Aleksić^*
, Milan S. Petrović
, Aleksandra I. Strinić
, Milivoj R. Belić

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

We investigate numerically and theoretically solitons in highly nonlocal three-dimensional nematic liquid crystals. We calculate the fundamental soliton profiles using the modified Petviashvili method. We apply the variational method to the widely accepted scalar model of beam propagation in uniaxial nematic liquid crystals and compare the results with numerical simulations. To check the stability of such solutions, we propagate them in the presence of noise. We discover that the presence of any noise induces the fundamental solitons-the so-called nematicons-to breathe. Our results explain the difficulties in experimental observation of steady nematicons.

Original language	English
Article number	033826
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	85
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.85.033826
Publication status	Published - 22 Mar 2012
Externally published	Yes

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title = "Solitons in highly nonlocal nematic liquid crystals: Variational approach",

abstract = "We investigate numerically and theoretically solitons in highly nonlocal three-dimensional nematic liquid crystals. We calculate the fundamental soliton profiles using the modified Petviashvili method. We apply the variational method to the widely accepted scalar model of beam propagation in uniaxial nematic liquid crystals and compare the results with numerical simulations. To check the stability of such solutions, we propagate them in the presence of noise. We discover that the presence of any noise induces the fundamental solitons-the so-called nematicons-to breathe. Our results explain the difficulties in experimental observation of steady nematicons.",

author = "Aleksi{\'c}, \{Najdan B.\} and Petrovi{\'c}, \{Milan S.\} and Strini{\'c}, \{Aleksandra I.\} and Beli{\'c}, \{Milivoj R.\}",

year = "2012",

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doi = "10.1103/PhysRevA.85.033826",

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T1 - Solitons in highly nonlocal nematic liquid crystals

T2 - Variational approach

AU - Aleksić, Najdan B.

AU - Petrović, Milan S.

AU - Strinić, Aleksandra I.

AU - Belić, Milivoj R.

PY - 2012/3/22

Y1 - 2012/3/22

N2 - We investigate numerically and theoretically solitons in highly nonlocal three-dimensional nematic liquid crystals. We calculate the fundamental soliton profiles using the modified Petviashvili method. We apply the variational method to the widely accepted scalar model of beam propagation in uniaxial nematic liquid crystals and compare the results with numerical simulations. To check the stability of such solutions, we propagate them in the presence of noise. We discover that the presence of any noise induces the fundamental solitons-the so-called nematicons-to breathe. Our results explain the difficulties in experimental observation of steady nematicons.

AB - We investigate numerically and theoretically solitons in highly nonlocal three-dimensional nematic liquid crystals. We calculate the fundamental soliton profiles using the modified Petviashvili method. We apply the variational method to the widely accepted scalar model of beam propagation in uniaxial nematic liquid crystals and compare the results with numerical simulations. To check the stability of such solutions, we propagate them in the presence of noise. We discover that the presence of any noise induces the fundamental solitons-the so-called nematicons-to breathe. Our results explain the difficulties in experimental observation of steady nematicons.

UR - https://www.scopus.com/pages/publications/84859042750

U2 - 10.1103/PhysRevA.85.033826

DO - 10.1103/PhysRevA.85.033826

M3 - Article

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JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 3

M1 - 033826

ER -

Solitons in highly nonlocal nematic liquid crystals: Variational approach

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