We present a numerical method for computing the eigenstates of a photonic band-gap material based on the augmented plane-wave method. The method uses a functional basis set well suited for structures with spherical and cylindrical elements, and allows for fast numerical convergence with a small number of expansion terms. In addition, the method has the ability of dealing with both metallic and dielectric elements without special treatment. The method is applied to an array of long parallel rods with circular cross section.

• Received 10 December 1997

DOI:https://doi.org/10.1103/PhysRevB.57.8819