A light emitting device includes a structure with a light emitting region disposed between an n-type region and a p-type region. A plurality of holes in the structure, which form a photonic crystal, are formed in a first region of the structure corresponding to a first portion of the light emitting region. A second region of the structure corresponding to a second portion of the light emitting region is free of holes. The device is configured such that when forward biased, current is injected in the second region and the first region is substantially free of current.