Topology Inside a Liquid Crystal

Topology inside NC1

We show that ACC0 is precisely what can be computed with constant-width circuits of polynomial size and polylogarithmic genus. This extends a characterization given by Hansen, showing that planar constant-width circuits also characterize ACC0. Thus polylogarithmic genus provides no additional computational power in this model. We consider other generalizations of planarity, including crossing n...

Topology Inside NC¹

We show that ACC0 is precisely what can be computed with constant-width circuits of polynomial size and polylogarithmic genus. This extends a characterization given by Hansen, showing that planar constant-width circuits also characterize ACC0. Thus polylogarithmic genus provides no additional computational power in this model. We consider other generalizations of planarity, including crossing n...

Temperature Tunability of Dielectric/ Liquid Crystal / Dielectric Photonic Crystal Structures

Recently, photonic crystals doped with liquid crystal (LC) material havegained much research interest. In this article new ternary one-dimensional photoniccrystal introduced and studied. The liquid crystal layer of 5CB and 5PCH is sandwichedby two dielectric layers. For the first time, we use four structures SiO2/UCF35/CaF2,SiO2/5CB/CaF2, NFK51/UCF35/NPSK53 and NFK51/5CB/NPSK53. The effect ofte...

Columnar liquid crystal as a unique ferroelectric liquid crystal

Liquid Crystal Materials and Liquid Crystal Displays

Since the early 1970s, three major prerequisites have brought the success of the liquid crystal display (LCD) technology to its key role of today. Namely, the discovery of electro-optical field-effects on which the displays are based, the successful search for liquid crystals (LCs) with material properties that meet the complex requirements of electro-optical effects and render the effects appl...