The computation of spectra of some 2D photonic crystals (Q1372017)

Using analytical methods, the authors develop an accurate and efficient algorithm to compute the spectrum and eigenmodes for a 2D photonic crystal which contains a periodic array of parallel rods of air with a square cross section inside a background lossless medium of higher dielectric constant. They find a decomposition of the eigenmodes of the main eigenvalue problem into basis waves, and a phase method is described. The numerical analysis of the dependence of the spectral bands on the parameters of the 2D photonic crystal is displayed.