Abstract
The interaction of optical solitary waves in nematic liquid crystals, nematicons and vortices, with other nematicons and localised structures, such as refractive index changes, is reviewed. Such interactions are shown to enable simple routing schemes as a basis for all-optical guided wave signal manipulation.
Highlights
The present paper is a synopsis on the interaction of nematicons and optical vortices with each other and with regions of refractive index variations in nematic liquid crystal (NLC) samples
Good to excellent agreement was obtained between full numerical solutions of the NLC Equations (11)–(13) and modulation theory (MT) for the trajectories, with the Gaussian and sech profiles providing comparable results in the highly nonlocal limit, the agreement improving for increasing angular momentum of the input cluster [66]
It was found that if the length scale of the refractive index change is larger than the beam width, the MT results are independent of the profile and the MT equations reduce to momentum conservation equations for the wavepacket trajectory ξ (z), as for interacting nematicons [51]
Summary
Self-Localised Optical Wavepackets in Reorientational Soft Matter. Appl. The present paper is a synopsis on the interaction of nematicons and optical vortices with each other and with regions of refractive index variations in nematic liquid crystal (NLC) samples. The motivation behind such studies is the all-optical control of optical solitary wave trajectories towards applications, such as signal processing and all-optical waveguiding/routing [20–30]. One powerful analytical tool is modulation theory [2], originally based on assuming a slowly varying wavetrain that is an exact solution of the underlying nonlinear dispersive wave equation but with slowly evolving parameters. Theoretical results derived using this extension of MT will be presented with pertinent experimental and numerical results, where appropriate
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