Аннотации:
The band structure of a photonic crystal with the clathrate Si-34 lattice comprising 34 lattice sites in the unit cell is studied. The structure with lattice sites connected by dielectric rods is found to have a large isotropic band gap for a wide range of permittivity. The structures composed by dielectric spheres or air spheres in dielectric have a small gap or do not possess the band gap at all, correspondingly. The relationship between the photonic band isotropy and the permittivity is deduced. The results described below make this photonic crystal very promising for potential applications. © 2009 The American Physical Society.