TE and TM modes in a cylindrical liquid-crystal waveguide

Abstract

We consider a cylindrical waveguide consisting of an inhomogeneous anisotropic liquid-crystal core embedded in an infinite homogeneous isotropic cladding. The wave equations for the pure modes are uncoupled but may have complex coefficients owing to the inhomogeneity and anisotropy of the liquid crystal. A simple numerical method is proposed for solving these equations. For the configuration considered, numerical results for the TE modes agree exactly with the analytical solution. For the TM modes, no analytical solution is available, and the unusual result obtained is that the phase of the fields inside the core depends on the distance from the cylinder axis.

Waveguiding in a Nematic Hybrid Slab

“…Therefore, in order to calculate the ray trajectories for a low intensity incident beam, it is necessary to solve Eqs. (2)(3)(4), respectively, up to terms of orders zero and one in the parameter ( l / k o l ) , In previous works [3, 61 we have already obtained the general expressions for the TM modes in these limits. Actually, interchanging the subscripts x and z in the corresponding dielectric tensor components, from Eq.…”

“…The LGO of Eqs. (2)(3)(4) corresponds to keeping terms such that kol> 1, while the WKB limit implied keeping terms for which kol > 1. Therefore, in order to calculate the ray trajectories for a low intensity incident beam, it is necessary to solve Eqs.…”

Geometric theory of topological defects: methodological developments and new trends

“…Another possibility to guide light beams is to use optical waveguides with nematic cores in radial escaped disclination configurations: the defocusing due to natural diffraction is compensated by the converging lens effect resulting form negative birefringence [187][188][189][190][191].…”

Waveguide Propagation of Light in Polymer Porous Films Filled with Nematic Liquid Crystals

“…Though similar approach was previously used in [2], it was not applied to analyze the waveguide regime. Rigorous analysis of the problem based on numerical solution of Maxwell's equations [13] showed that waveguide propagation of light in a cylindrical cavity surrounded by isotropic media is crucially influenced by the orientational structure formed inside the pore [14][15][16]. From the other hand, the type of the orientational configuration is governed by a number of parameters such as the Frank elastic constants, the surface anchoring strengths and orientation of the easy axes, the diameter of LC pores [17][18][19][20][21].…”