Computer-implemented method for designing a progressive power spectacle lens for the purpose of using the design for the production of a progressive power spectacle lens with a front surface and a back surface, a spatially varying refractive index, wherein the front surface is embodied as a progressive surface and/or the back surface is embodied as a progressive surface, wherein - optical properties of the progressive power spectacle lens are calculated by means of a ray tracing method at a plurality of evaluation points, at which visual rays pass through the progressive power spectacle lens, wherein - at least one intended optical property for the progressive power spectacle lens is set at the respective evaluation point, characterized in that - a design for the progressive power spectacle lens is set, wherein the design comprises a representation of a local surface geometry of the progressive surface and a local refractive index of the progressive power spectacle lens in the respective visual beam path through the evaluation points, wherein - the design of the progressive power spectacle lens is modified in view of an approximation of the at least one intended optical property of the progressive power spectacle lens, wherein the modifying comprises modifying the representation of the local surface geometry of the progressive surface and the local refractive index of the progressive power spectacle lens in the respective visual beam path through the evaluation points, wherein the at least one intended optical property comprises an intended residual astigmatism of the progressive power spectacle lens, wherein the progressive surface is modified freely in one or in two spatial dimensions and the local refractive index is modified freely in at least two spatial dimensions. - optical properties of the progressive power spectacle lens are calculated by means of a ray tracing method at a plurality of evaluation points, at which visual rays pass through the progressive power spectacle lens, wherein - at least one intended optical property for the progressive power spectacle lens is set at the respective evaluation point, - a design for the progressive power spectacle lens is set, wherein the design comprises a representation of a local surface geometry of the progressive surface and a local refractive index of the progressive power spectacle lens in the respective visual beam path through the evaluation points, wherein - the design of the progressive power spectacle lens is modified in view of an approximation of the at least one intended optical property of the progressive power spectacle lens, wherein the modifying comprises modifying the representation of the local surface geometry of the progressive surface and the local refractive index of the progressive power spectacle lens in the respective visual beam path through the evaluation points, wherein the at least one intended optical property comprises an intended residual astigmatism of the progressive power spectacle lens, wherein the progressive surface is modified freely in one or in two spatial dimensions and the local refractive index is modified freely in at least two spatial dimensions. <EOS>