An electro-optically induced waveguide comprising: a waveguide layer stack (100, 101, 102) having a core layer comprising an electro-optic material for guiding light waves, wherein the waveguide layer stack (100, 101, 102) comprises a first cladding layer and a second cladding layer, wherein the core layer is arranged between the first cladding layer and the second cladding layer, wherein the core layer has a refractive index equal or higher than the first cladding layer and the second cladding layer.; and a field generator for generating an electrical field in the core layer, wherein the field generator comprises an electrode arrangement having a plurality of electrodes and a voltage supply arrangement for supplying at least two potentials (U 0, U 1, U 2) to the electrode arrangement; wherein the electro-optically induced waveguide is induced by applying the electrical field across the waveguide layer stack (100, 101, 102); so that a local change in a refractive index of the core layer is caused; wherein the field generator is configured to induce an electro-optic effect by the generated electrical field in a first cross sectional region of the core layer such that a propagation of transverse-electric polarized light waves is enabled in the first cross sectional region; wherein the field generator is configured to induce an electro-optic effect by the generated electrical field in a second cross sectional region of the core layer such that a propagation of transverse-magnetic polarized light waves is enabled in the second cross sectional region; wherein the field generator is configured in such way that a coupling efficiency for transverse-electric polarized light waves between an optical fiber and the electro-optically induced waveguide and a coupling efficiency for transverse-magnetic polarized light waves between the optical fiber and the electro-optically induced waveguide are equivalent; and wherein the first cross sectional region and the second cross sectional region are overlapping in a cross sectional view. a waveguide layer stack (100, 101, 102) having a core layer comprising an electro-optic material for guiding light waves, wherein the waveguide layer stack (100, 101, 102) comprises a first cladding layer and a second cladding layer, wherein the core layer is arranged between the first cladding layer and the second cladding layer, wherein the core layer has a refractive index equal or higher than the first cladding layer and the second cladding layer.; and a field generator for generating an electrical field in the core layer, wherein the field generator comprises an electrode arrangement having a plurality of electrodes and a voltage supply arrangement for supplying at least two potentials (U 0, U 1, U 2) to the electrode arrangement; wherein the electro-optically induced waveguide is induced by applying the electrical field across the waveguide layer stack (100, 101, 102); so that a local change in a refractive index of the core layer is caused; wherein the field generator is configured to induce an electro-optic effect by the generated electrical field in a first cross sectional region of the core layer such that a propagation of transverse-electric polarized light waves is enabled in the first cross sectional region; wherein the field generator is configured to induce an electro-optic effect by the generated electrical field in a second cross sectional region of the core layer such that a propagation of transverse-magnetic polarized light waves is enabled in the second cross sectional region; wherein the field generator is configured in such way that a coupling efficiency for transverse-electric polarized light waves between an optical fiber and the electro-optically induced waveguide and a coupling efficiency for transverse-magnetic polarized light waves between the optical fiber and the electro-optically induced waveguide are equivalent; and wherein the first cross sectional region and the second cross sectional region are overlapping in a cross sectional view.