Abstract <p>The optical properties of a cholesteric structure with homotropoic boundary conditions were investigated using computer modeling methods of the wave equation in the quasi-isotropic approximation of geometric optics. A translation-invariant configuration was obtained for thicknesses greater than the critical thickness, as well as for thicknesses less than the critical thickness, by applying a destabilizing electric field. At large spiral pitch values, the dependence of the ellipticity of the outgoing radiation on the spiral pitch is not monotonic, and one reaches its maximum in the region of a spiral pitch of 40 μm. It is shown that for some discrete values of the maximum angle of exit of molecules from the plane of the cell walls, the rotation of the polarization plane of incident linearly polarized light does not depend on either the polarization angle of the incident light or the wavelength of the light, at least in the visible range.</p>