Photonic Crystal Simulation Using Finite-Difference Time-Domain Method

I have developed a program utilizing the Finite-Difference Time-Domain (FDTD) method to compute transmission coefficients of photonic crystals. The implementation features Yee's algorithm for spatial discretization and time-stepping to solve Maxwell's equations numerically. The program analyzes various optical properties including reflection, transmission, and scattering characteristics through field component monitoring and Fourier transform processing. Furthermore, the code incorporates eigenvalue solvers for band structure calculations and dispersion relation analysis across different wavelengths. Key functions include boundary condition handlers (PML/periodic) and field update routines using central difference schemes. These computational results enable optimization of photonic crystal designs for specific optical performances, such as bandgap width tuning and central frequency control through parameter variation studies. The implementation structure follows modular design with separate modules for mesh generation, material property assignment, time-domain simulation, and post-processing analysis, ensuring computational efficiency and accuracy validation through convergence tests.