Engineered-phosphor LED packages and related methods

A light-emitting device comprising:

• a light-emitting die having (i) a top face and a bottom face opposite the top face, the top face being configured for emission of light therefrom, and (ii) at least one sidewall spanning the top and bottom faces;
• a first phosphor element disposed over substantially all of the top face and the at least one sidewall of the light-emitting die, the first phosphor element having (i) a base substantially coplanar with the bottom face of the light-emitting die, (ii) a top surface opposite the base, and (iii) a first light-absorption efficiency;
• and
• a second phosphor element disposed over and in contact with the first phosphor element, the second phosphor element having a second light-absorption efficiency and comprising (i) a binder and (ii) disposed within the binder, one or more wavelength-conversion materials for absorbing at least a portion of light emitted from the light-emitting die and emitting converted light having a different wavelength, converted light combining with unconverted light emitted from the light-emitting die to form substantially white light,
• wherein (i) the second light-absorption efficiency is greater than the first light-absorption efficiency and (ii) a divergence of color temperature of the substantially white light emitted from the device varies, over an angular range of 10° to 85°, no more than 0.01 in terms of Δu′v′ deviation from a spatially weighted averaged chromaticity.