Curvilinear triangular-prism element for computation of band structure in photonic crystal slab

Abstract

The band structure of a photonic crystal slab is analyzed by the finite-element method. Here, a curvilinear mixed-interpolation-type triangular-prism element is proposed so as to express cylindrical air holes of a photonic crystal slab smoothly enough in fewer elements. The numerical results are presented to show the usefulness of the analysis method.