A light-emitting device (100, 200, 300, 400), comprising: multiple light-emitting elements (110, 210, 310, 460) including a first light-emitting element configured to provide light having a first spectral power distribution during operation, and a second light-emitting element configured to provide light having a second spectral power distribution different from the first spectral power distribution during operation; a first optical element (120, 220, 920) having a first surface spaced apart from the first and second light-emitting elements and positioned to receive light from the first and second light-emitting elements, the first optical element (120, 220, 920) comprising elastic scattering centers arranged to scatter the light from the first and second light-emitting elements and provide mixed light comprising light from the first and second light-emitting elements having a mixed spectral power distribution; and a second optical element (130, 230, 930) formed from a transparent material having an exit surface (235, 335, 515), the second optical element (130, 230, 930) being in contact with the first optical element (120, 220, 920), there being an optical interface (225, 325, 425) between the first and second optical elements at the place of contact, the optical interface (225, 325, 425) being opposite the first surface of the first optical element (120, 220, 920), the second optical element (130, 230, 930) being arranged to receive a portion of the mixed light through the optical interface (225, 325, 425); wherein: the device comprises a medium adjacent the first surface of the first optical element (120, 220, 920) having a refractive index no, and the first optical element (120, 220, 920) comprises a material having a first refractive index n 1, where n 0 < n 1; the transparent material has a refractive index n 2, where n 0 < n 2; the exit surface (235, 335, 515) is a transparent surface that is shaped such that an angle of incidence on the exit surface (235, 335, 515) of the mixed light provided by the first optical element (120, 220, 920) that directly impinges on the exit surface (235, 335, 515) is less than the critical angle for total internal reflection; the light-emitting device outputs the mixed light through the exit surface (235, 335, 515), and wherein at least part of the mixed light impinges the exit surface at a Brewster angle. multiple light-emitting elements (110, 210, 310, 460) including a first light-emitting element configured to provide light having a first spectral power distribution during operation, and a second light-emitting element configured to provide light having a second spectral power distribution different from the first spectral power distribution during operation; a first optical element (120, 220, 920) having a first surface spaced apart from the first and second light-emitting elements and positioned to receive light from the first and second light-emitting elements, the first optical element (120, 220, 920) comprising elastic scattering centers arranged to scatter the light from the first and second light-emitting elements and provide mixed light comprising light from the first and second light-emitting elements having a mixed spectral power distribution; and a second optical element (130, 230, 930) formed from a transparent material having an exit surface (235, 335, 515), the second optical element (130, 230, 930) being in contact with the first optical element (120, 220, 920), there being an optical interface (225, 325, 425) between the first and second optical elements at the place of contact, the optical interface (225, 325, 425) being opposite the first surface of the first optical element (120, 220, 920), the second optical element (130, 230, 930) being arranged to receive a portion of the mixed light through the optical interface (225, 325, 425); wherein: the device comprises a medium adjacent the first surface of the first optical element (120, 220, 920) having a refractive index no, and the first optical element (120, 220, 920) comprises a material having a first refractive index n 1, where n 0 < n 1; the transparent material has a refractive index n 2, where n 0 < n 2; the exit surface (235, 335, 515) is a transparent surface that is shaped such that an angle of incidence on the exit surface (235, 335, 515) of the mixed light provided by the first optical element (120, 220, 920) that directly impinges on the exit surface (235, 335, 515) is less than the critical angle for total internal reflection; the light-emitting device outputs the mixed light through the exit surface (235, 335, 515), and wherein at least part of the mixed light impinges the exit surface at a Brewster angle.