Fig. 1. (a) Schematic illustration of the 2D quasiperiodic waveguide array. The blue and green layers represent the silicon dioxide dielectric layer and the silver layer, respectively. The electromagnetic waves are incident along the Y-direction. The amplitude of the Gaussian pulse is shown in the red line. And the circle shows the intensity distribution. (b) The band diagram of the graded MMWA with a gradient increasing from 0 to 0.15 for the dielectric permittivity with a relation of . Red regions represent the minigaps, white regions represent the minibands

Fig. 2. (a) and (b) show contours of magnetic field intensity for Gaussian pulses with nm and nm, respectively simulated by the FDTD method. (c) The simulated period of the BLO in the waveguide arrays depends on the incident light wavelength ( 405, 460, 488, 514, 532, 589, 635, 650, 694 nm, respectively)

Fig. 3. Contours of magnetic field intensity for a Gaussian pulse impinging on the positions x = 0.34, x = 0 and x = −0.34

Fig. 4. (a)−(c) Contours of magnetic field intensity for Gaussian pulse impinging on the position of x = 0.21

Fig. 5. (a)−(c) Contours of magnetic field intensity for Gaussian pulse impinging on the position of in the tenth Fibonacci waveguide arrays