A multiview backlight comprising: a light guide configured to guide light as guided light, wherein the guided light comprises white light; and a color-tailored multibeam element configured to provide emitted light having a color-tailored emission pattern from the guided light, the emitted light comprising a plurality of different color directional light beams having different principal angular directions corresponding to respective different view directions of a multiview display, wherein the color-tailored emission pattern corresponds to an arrangement of color sub-pixels of a view pixel in the multiview display, wherein the color sub-pixels comprise light valves, wherein the color-tailored multibeam element is configured to provide the emitted light as a plurality of virtual sub-elements of a composite virtual extended source, each virtual sub-element having a different color from another virtual sub-element of the virtual sub-element plurality and the plurality of virtual sub-elements being arranged to provide the color-tailored emission pattern according to the different colors, wherein the color-tailored multibeam element comprises a diffraction grating configured to provide the plurality of virtual sub-elements of the composite virtual extended source, and wherein the virtual sub-elements are provided by diffractive coupling of the guided light by the diffraction grating from within the light guide; wherein the plurality of virtual sub-elements of the composite virtual extended source comprises a first virtual sub-element having a red color, a second virtual sub-element having a green color and a third virtual sub-element having a blue color; and wherein the plurality of virtual sub-elements are spatially offset from one another to provide the color-tailored emission pattern such that the different color directional light beams for each of the different colors of emitted light according to the color-tailored emission pattern of the color-tailored multibeam element are parallel to one another. a light guide configured to guide light as guided light, wherein the guided light comprises white light; and a color-tailored multibeam element configured to provide emitted light having a color-tailored emission pattern from the guided light, the emitted light comprising a plurality of different color directional light beams having different principal angular directions corresponding to respective different view directions of a multiview display, wherein the color-tailored emission pattern corresponds to an arrangement of color sub-pixels of a view pixel in the multiview display, wherein the color sub-pixels comprise light valves, wherein the color-tailored multibeam element is configured to provide the emitted light as a plurality of virtual sub-elements of a composite virtual extended source, each virtual sub-element having a different color from another virtual sub-element of the virtual sub-element plurality and the plurality of virtual sub-elements being arranged to provide the color-tailored emission pattern according to the different colors, wherein the color-tailored multibeam element comprises a diffraction grating configured to provide the plurality of virtual sub-elements of the composite virtual extended source, and wherein the virtual sub-elements are provided by diffractive coupling of the guided light by the diffraction grating from within the light guide; wherein the plurality of virtual sub-elements of the composite virtual extended source comprises a first virtual sub-element having a red color, a second virtual sub-element having a green color and a third virtual sub-element having a blue color; and wherein the plurality of virtual sub-elements are spatially offset from one another to provide the color-tailored emission pattern such that the different color directional light beams for each of the different colors of emitted light according to the color-tailored emission pattern of the color-tailored multibeam element are parallel to one another.