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Phys. Rev. E 72, 066611 (2005) [7 pages]

Theory of nonlocal soliton interaction in nematic liquid crystals

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Per Dalgaard Rasmussen and Ole Bang
COM•DTU Department of Communications, Optics & Materials, Technical University of Denmark, 2800 Kongens Lyngby, Denmark

Wieslaw Królikowski
Laser Physics Centre, Research School of Physical Sciences and Engineering, The Australian National University, Canberra, ACT 0200, Australia

Received 10 June 2005; published 20 December 2005

We investigate interactions between spatial nonlocal bright solitons in nematic liquid crystals using an analytical (“effective particle”) approach as well as direct numerical simulations. The model predicts attraction of out-of-phase solitons and the existence of their stable bound state. This nontrivial property is solely due to the nonlocal nature of the nonlinear response of the liquid crystals. We further predict and verify numerically the critical outwards angle and degree of nonlocality which determine the transition between attraction and repulsion of out-of-phase solitons.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.066611
DOI:
10.1103/PhysRevE.72.066611
PACS:
42.65.Tg, 42.65.Ky, 42.65.Sf