Light converting constructions are disclosed. The light converting construction includes a phosphor slab that has a first index of refraction for converting at least a portion of light at a first wavelength to light at a longer second wavelength; and a structured layer that is disposed on the phosphor slab and has a second index of refraction that is smaller than the first index of refraction. The structured layer includes a plurality of structures that are disposed directly on the phosphor slab and a plurality of openings that expose the phosphor slab. The light converting construction further includes a structured overcoat that is disposed directly on at least a portion of the structured layer and a portion of the phosphor slab in the plurality of openings. The structured overcoat has a third index of refraction that is greater than the second index of refraction.