TY - JOUR
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 - http://www.scopus.com/inward/record.url?scp=84859042750&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.85.033826
DO - 10.1103/PhysRevA.85.033826
M3 - Article
AN - SCOPUS:84859042750
SN - 1050-2947
VL - 85
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 033826
ER -