Tool Used: BandSOLVE
Structures that are periodic in two dimensions are a common PBG application. In such structures, light is confined in the third dimension by traditional index guiding. Typical examples include waveguide slabs with a periodic set of holes (PCS), or a lattice of rods of finite vertical extent. These structures are treated similarly in BandSOLVE. These structures have attracted considerable interest since they possess many of the features of full 3D photonic crystals, but are substantially easier to manufacture.
Creating the Structure
This example consists of a cubic array of dielectric rods with refractive index of sqrt(12) in the XZ plane in a background material of air as discussed in Ref. [1].