Lensing effects in a nematic liquid crystal with topological defects

Abstract

Light traveling through a liquid crystal with disclinations perceives a geometrical background which causes lensing effects similar to the ones predicted for cosmic objects like global monopoles and cosmic strings. In this article we explore the effective geometry as perceived by light in such media. The comparison between both systems suggests that experiments can be done in the laboratory to simulate optical properties, like gravitational lensing, of cosmic objects.

6 pages, 10 figures

References in corpus (6)

• The Geometry of Soft Materials: A Primer
• The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
• Topological Defects and Structure Formation
• CSL-1: a chance projection effect or serendipitous discovery of a gravitational lens induced by a cosmic string?
• Riemannian geometry of irrotational vortex acoustics
• A liquid crystal analogue of the cosmic string

Cited by in corpus (28)

• Klein-Gordon Oscillator in Kaluza-Klein Theory
• The generalized Klein-Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza-Klein theory
• Physical regularization for the spin-1/2 Aharonov-Bohm problem in conical space
• On the quantum dynamics of a point particle in conical space
• Introduction to topological defects: from liquid crystals to particle physics
• Pseudo-Finslerian spacetimes and multi-refringence
• An optical wormhole from hollow disclinations
• On the deflection of light by topological defects in nematic liquid crystals
• Feshbach-Villars oscillator (FVO) in Kaluza-Klein Theory (KKT)
• Nematic liquid crystal dynamics under applied electric fields
• Aharonov-Bohm-like effect for light propagating in nematics with disclinations
• On the dynamics of a particle on a cone
• Diffraction of light by topological defects in liquid crystals
• Metric approach for sound propagation in nematic liquid crystals
• Optics near an hyperbolic defect
• Cosmology in the laboratory: an analogy between hyperbolic metamaterials and the Milne universe
• Principles of thermal design with nematic liquid crystals
• Retrieving the saddle-splay elastic constant $K_{24}$ of nematic liquid crystals from an algebraic approach
• Flowing Liquid Crystal Simulating the Schwarzschild Metric
• Generation of optical vorticity from topological defects
• Geometric theory of topological defects: methodological developments and new trends
• Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time
• The wiggly cosmic string as a waveguide for massless and massive fields
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• Dynamics on the cone: closed orbits and superintegrability
• A simple light-trapping device from a hyperbolic metamaterial on a catenoid
• Conservation Laws for Crystal of Topological Defects
• Differential geometry, a possible avenue for thermal ablation in oncology?