An illumination device includes a light-emitting element (LEEs); a light guide extending in a forward direction from a first end to a second end to receive at the first end LEE light and to guide the light to the second end, such that divergence of the light received at the first end and divergence of the guided light that reaches the second end are substantially the same; a light divergence modifier optically coupled to the light guide at the second end to receive the guided light, to modify the divergence of the guided light, such that the light provided by the light divergence modifier has a modified divergence different from the divergence of the guided light; and an optical extractor optically coupled to the light divergence modifier, to output into the ambient environment light provided by the light divergence modifier as output light in one or more output angular ranges.