Fig. 1. （a）Structure diagram with the Fibonacci sequence（b）2D model of the Fibonacci photonic quasi-crystals（PQC）plano-V lens. The red arrows indicate the incident direction of the plane wave and the process of converging to the focal point after passing through the lens. F is the focal distance of the lens

Fig. 2. Transmission spectrum of a PQC with different Fibonacci sequences：（a）F（8）（b）F（9）（c）F（10）

Fig. 3. Transmission spectrum of a PQC when d_A=100 nm and d_B changes：（a）d_B=50 nm（b）d_B=100nm（c）d_B=200 nm

Fig. 4. The focusing characteristics of Fibonacci PQC plano-V lens when λ=752nm and d_B varies：（a）normalized intensity of focus，（b）FWHM coefficient η，and（c）focal distance

Fig. 5. Focusing field of the Fibonacci PQC plano-V lens with d_A=d_B=100 nm for a plane wave λ =752nm