Fig. 1. (a) Band diagrams in a square lattice PhC with LN (MgO-doped) rods for TE and TM modes. (b) The left is the schematic structure of the W1 waveguide in the Γ-M direction; the right is the FDTD simulation result of the W1 waveguide and the sketch of the light beam coherent interference.

Fig. 2. T-shape W1 waveguides (a) without or (b) with the L2 cavity in an LN PhC and the FDTD simulated different transmission results.

Fig. 3. Three all optical logic gates (a) AND, (b) XOR, and (c) NOT in an LN PhC with different micro-cavities locations.

Fig. 4. FDTD simulated transmission of (a) AND and (b) XOR gates in an LN PhC.

Fig. 5. (a) Schematic structure of the all-optical half-adder in an LN PhC. (b) The FDTD simulated transmission of the all-optical half-adder.