Fig. 1. (a) The beam configuration for compound PCs. (b) The projected beam configuration in xoy plane, and k1'~k4' are the projected wave vectors

Fig. 2. Simulation results for four different combinations of three-beam configuration. (a) (k₁, k₂, k₃), parallelogram lattice;(b) (k₁, k₂, k₄), rectangular lattice; (c) (k₁, k₃, k₄), parallelogram lattice; (d) (k₂, k₃, k₄), rectangular lattice

Fig. 3. Simulation results for different polarization degrees of γ₁. (a) γ₁=0, V=1; (b) γ₁=0.5, V=0.9911;(c) γ₁=1, V=0.9792; (d) γ₁=10⁶, V=0.9608

Fig. 4. Simulation results for different rotation angles of β₁. (a) β₁=0°, V=1; (b) β₁=45°, V=0.9252; (c) β₁=90°, V=0.9417; (d) β₁=135°, V=0.9464

Fig. 5. Simulation results for different polarization angles. "Neighbor" case (γ₃=γ₄=γ₃₄): (a1) γ₃₄=0, V=1; (a2) γ₃₄=0.5, V=0.9670; (a3) γ₃₄=1, V=0.9750; (a4) γ₃₄=10⁶, V=0.8664. "Interval" case (γ₂=γ₄=γ₂₄): (b1) γ₂₄=0, V=1; (b2) γ₂₄=0.5, V=0.9840; (b3) γ₂₄=1, V=0.9694; (b4) γ₂₄=10⁶, V=0.9798

Fig. 6. Simulation results for different polarization angles. "Neighbor" case ( β₃=β₄=β₃₄ ): (a1) β₃₄=0, V=1; (a2) β₃₄=45°, V=0.9013; (a3) β₃₄=90°, V=0.8786; (a4) β₃₄=135°, V=0.9337. "Interval" case ( β₂=β₄=β₂₄ ): (b1) β₂₄=0°, V=1; (b2) β₂₄=45°, V=0.7812; (b3) β₂₄=90°, V=0.8739; (b4) β₂₄=135°, V=0.8417

Fig. 7. Simulation results for different polarization angles. Case 1 (γ₁=γ₂=γ₃=γ₁₂₃): (a1) γ₁₂₃=0, V=1; (a2) γ₁₂₃=0.5, V=0.9681; (a3) γ₁₂₃=1, V=0.9146; (a4) γ₁₂₃=10⁶, V=0.9934. Case 2 (γ₁=γ₃=γ₄=γ₁₃₄): (b1) γ₁₃₄=0, V=1; (b2) γ₁₃₄=0.5, V=0.9791; (b3) γ₁₃₄=1, V=0.9597; (b4) γ₁₃₄=10⁶, V=0.7551

Fig. 8. Simulation results for different polarization angles. Case 1 (β₁=β₂=β₃=β₁₂₃): (a1) β₁₂₃=0°, V=1; (a2) β₁₂₃=45°, V=0.9601; (a3) β₁₂₃=90°, V=0.9720; (a4) β₁₂₃=135°, V=0.9673. Case 2 (β₁=β₃=β₄=β₁₃₄): (b1) β₁₃₄=0°, V=1; (b2) β₁₃₄=45°, V=0.8821; (b3) β₁₃₄=90°, V=0.8382; (b4) β₁₃₄=135°, V=0.8554

Fig. 9. Simulation results for different polarization degrees. (a) γ₁ = γ₂ = γ₃ =_{γ4 = 0, V = 1; (b) γ1 = γ2 = γ3 =γ4 = 0.5, V = 0.9601; (c) γ1 = γ2 = γ3 =γ4 = 1, V = 0.9915; (d) γ1 = γ2 = γ3 =γ4 = 10⁶, V = 0.7837}

Fig. 10. Simulation results for different rotation angles. (a) β₁ = β₂ = β₃ =_{β4 = 0°, V = 1; (b) β1 = β2 = β3 =β4 = 45°, V = 0.8831; (c) β1 = β2 = β3 =β4 = 90°, V = 0.8353; (d) β1 = β2 = β3 =β4 = 135°, V = 0.8517}