The density of states in quasiperiodic photonic crystals

The distribution of the local density of states (LDOS) in quasiperiodic photonic crystals (QPCs) and the total density of states (DOS) are studied. The distribution of the LDOS shows that it has the same rotational symmetry as the sample. Furthermore, the regions of lowest LDOS and the change of the minimal values of the LDOS with the alteration of the dielectric volume fractions are identified. Meanwhile, the coincidence of gaps displayed in transmission and DOS spectra indicates that QPCs possess absolute gaps for TM polarized modes, the E field is along the axis of the cylinders and the H field is in the 2D plane.