In order to configure or produce an electrically controllable optical element on the basis of the electro-optic Kerr effect with a low threshold and operating voltage, a minimized temperature dependence of the effect and a low response time, the Kerr liquid according to the invention comprises a mixture of rod-shaped molecules and non-rod-shaped molecules as active composites, a thin layer having a pre-stamping, wide-mesh, anisotropic network between structured and/or planar conductive layer applied to a substrate thus configure a thin-film cell in such a way that without electric field the state of the active composite of the Kerr liquid in the working temperature region RT is isotropic and that by electrically continuous adjustment, of the voltage U or by a switching-on or switching-off a change the voltage U, in the optical element a voltage-induced phase shift or a refractive index deviation is generated and the light passes through an electrode gap perpendicular to the electrodes.