Devices, such as light-emitting devices (e.g., LEDs), and methods associated with such devices are provided. A light-emitting device may include an interface including a first region and a second region. The first region having a dielectric function that varies spatially according to a first pattern, and the second region having a dielectric function that varies spatially according to a second pattern, wherein the second pattern is a rotation of the first pattern. A method of forming a light-emitting device is provided. The method comprises forming an interface comprising a first region and a second region. The first region having a dielectric function that varies spatially according to a first pattern, and the second region having a dielectric function that varies spatially according to a second pattern, wherein the second pattern is a rotation of the first pattern.