The theoretical analysis of omnidirectional photonic band gaps in the one-dimensional ternary plasma photonic crystals based on Pell quasi-periodic structure

In this study, an omnidirectional photonic band gap (OPBG) in one-dimensional (1D) plasma photonic crystals (plasma-PCs) with Pell quasi-periodic structures, which are consisting of plasma and two isotropic dielectrics is theoretically calculated by the transfer matrix method. Compared to the Bragg gaps, the OPBG is not dependent on the angle of incidence and both transverse electric and transverse magnetic modes. The bandwidth and frequency region of the OPBG is not sensitive to Pell sequence order, but the bandwidth of the OPBG can be significantly enhanced, as the density and length of plasma layer are increased. The calculated results demonstrate that the 1D plasma-PCs with Pell quasi-periodic not only can obtain a larger bandwidth of OPBG but also have a shorter length in realizing devices, compared to the 1D Thue-Morse (Th-M) aperiodic or Fibonacci ones. It is clear that such 1D plasma-PCs with Pell quasi-periodic have advantages in realizing compact devices.