An arrangement having at least two light-emitting semiconductor components (101, 111) arranged adjacent to one another has envelopes (102, 112) at least partly surrounding the at least two light-emitting semiconductor components in each case. The envelopes contain a converter substance, which partly or completely converts the wavelength range of the radiation emitted by the semiconductor components. At least one optical damping element (103) is arranged between the at least two light-emitting semiconductor components, which optically isolates the respective envelopes of the semiconductor components in order to reduce a coupling-in from at least one envelope (102) into at least one other of the envelopes (112), or from at least one semiconductor component (101) into the envelope (112) of at least one of the other semiconductor components (111).