Title

Exact and approximate solutions for optical solitary waves in nematic liquid crystals

RIS ID

91776

Publication Details

Macneil, J. L., Smyth, N. & Assanto, G. (2014). Exact and approximate solutions for optical solitary waves in nematic liquid crystals. Physica D: Nonlinear Phenomena, 284 (September), 1-15.

Abstract

The equations governing optical solitary waves in nonlinear nematic liquid crystals are investigated in both (1+1) and (2+1) dimensions. An isolated exact solitary wave solution is found in (1+1) dimensions and an isolated, exact, radially symmetric solitary wave solution is found in (2+1) dimensions. These exact solutions are used to elucidate what is meant by a nematic liquid crystal to have a nonlocal response and the full role of this nonlocal response in the stability of (2+1) dimensional solitary waves. General, approximate solitary wave solutions in (1+1) and (2+1) dimensions are found using variational methods and they are found to be in excellent agreement with the full numerical solutions. These variational solutions predict that a minimum optical power is required for a solitary wave to exist in (2+1) dimensions, as confirmed by a careful examination of the numerical scheme and its solutions. Finally, nematic liquid crystals subjected to two different external electric fields can support the same solitary wave, exhibiting a new type of bistability. 2014 Elsevier B.V. All rights reserved.

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Link to publisher version (DOI)

http://dx.doi.org/10.1016/j.physd.2014.06.005