Equielliptical State of Light Polarization in Twist-Oriented Nematic Liquid Crystal

A systematic analysis of the spatial dynamics of the elliptically polarized light in a medium with the local inhomogeneity of the optical axis on the Poincare sphere has been carried out. A nematic liquid crystal with a twist orientation was considered such a medium. The existence of two special types of elliptically polarized waves is shown, which propagate in such a medium with a constant value of ellipticity, and the azimuth angle follow the rotation of the optical axis. The main features of the dependence on the sample thickness are revealed. For the analysis, we used the analytical solution of the system of coupled equations for the Cartesian components of the electric component of the light wave, obtained by passing to the rotating coordinate system.