Abstract

The use of dye-doped liquid crystals allows the amplification of the coupling of light and liquid crystals. Light can induce the self-organization of the molecular order. The appearance of ring patterns has been observed, which has been associated with phase modulation. However, the morphology and dynamics of the ring patterns are not consistent with self-modulation. Based on an experimental setup with two parallel coherence beams orthogonal to a liquid crystal cell, one of which induces photo-isomerization and the other causes illumination, the formation of ring patterns is studied. To use these two coherent beams, we synthesize methylred methyl ester as a dye-dopant, which is photosensitive only to one of the light beams, and a commercial E7 liquid crystal as a matrix. Based on a mathematical model that accounts for the coupling between the concentration of the cis-state and the order parameter, we elucidate the emergence of the rings as forming patterns in an inhomogeneous medium. The bifurcation diagram is analytically characterized. The emergence, propagation of the rings, and the establishment of the ring patterns are in fair agreement with the experimental observations.

Highlights

  • Published: 7 June 2021The interaction between light and matter has played a fundamental role in the understanding and characterization from the early stages of research [1]

  • Based on a mathematical model that accounts for the coupling between the concentration of the cis state and the order parameter, we elucidate the emergence of the rings as forming patterns in an inhomogeneous medium

  • The emergence of ring patterns from an illuminated dye-doped nematic liquid crystal cell was initially attributed to the phase modulation of the diffractive light [27]

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Summary

Introduction

Published: 7 June 2021The interaction between light and matter has played a fundamental role in the understanding and characterization from the early stages of research [1]. Liquid crystals are a state of matter in which the molecules have a preferential orientation and can have or not have a positional order; this organization is known as soft matter [7,8,9,10,11]. This state of matter shares features of solids and liquids. One of the most studied types of liquid crystals used in technological applications are nematic liquid crystals (NLC) This state is composed of rod-like organic molecules [7,8,9,10,11]. Because of an intermolecular interaction, these molecules are arranged to have a similar molecular

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